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132010100320212 = 2232171672335543491
BaseRepresentation
bin11110000000111111111111…
…001000101110011111010100
3122022102001010212101120022200
4132000333333020232133110
5114300323141140221322
61144432334115524500
736543262230416322
oct3600777710563724
9568361125346280
10132010100320212
1139076195153094
12129805375b9730
13588766453019a
142485474246d12
15103dd4414d8ac
hex780fff22e7d4

132010100320212 has 144 divisors (see below), whose sum is σ = 356962390791552. Its totient is φ = 40990250280960.

The previous prime is 132010100320201. The next prime is 132010100320223. The reversal of 132010100320212 is 212023001010231.

132010100320212 is a `hidden beast` number, since 1 + 3 + 20 + 10 + 100 + 320 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (132010100320201) and next prime (132010100320223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21041787 + ... + 26585277.

It is an arithmetic number, because the mean of its divisors is an integer number (2478905491608).

Almost surely, 2132010100320212 is an apocalyptic number.

132010100320212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010100320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178481195395776).

132010100320212 is an abundant number, since it is smaller than the sum of its proper divisors (224952290471340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132010100320212 is a wasteful number, since it uses less digits than its factorization.

132010100320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543918 (or 5543913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132010100320212 its reverse (212023001010231), we get a palindrome (344033101330443).

The spelling of 132010100320212 in words is "one hundred thirty-two trillion, ten billion, one hundred million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 167 204 233 306 334 466 501 612 668 699 932 1002 1398 1503 2004 2097 2796 2839 3006 3961 4194 5678 6012 7922 8388 8517 11356 11883 15844 17034 23766 25551 34068 35649 38911 47532 51102 71298 77822 102204 116733 142596 155644 233466 350199 466932 661487 700398 1322974 1400796 1984461 2645948 3968922 5543491 5953383 7937844 11086982 11906766 16630473 22173964 23813532 33260946 49891419 66521892 94239347 99782838 188478694 199565676 282718041 376957388 565436082 848154123 925762997 1130872164 1291633403 1696308246 1851525994 2583266806 2777288991 3392616492 3703051988 3874900209 5166533612 5554577982 7749800418 8331866973 11109155964 11624700627 15499600836 15737970949 16663733946 21957767851 23249401254 31475941898 33327467892 43915535702 46498802508 47213912847 62951883796 65873303553 87831071404 94427825694 131746607106 141641738541 188855651388 197619910659 215702778301 263493214212 283283477082 395239821318 431405556602 566566954164 647108334903 790479642636 862811113204 1294216669806 1941325004709 2588433339612 3666947231117 3882650009418 7333894462234 7765300018836 11000841693351 14667788924468 22001683386702 33002525080053 44003366773404 66005050160106 132010100320212