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131222101032 = 233311107516151
BaseRepresentation
bin111101000110101110…
…0100101110000101000
3110112201002112102002000
41322031130211300220
54122220324213112
6140141013011000
712323543312061
oct1721534456050
9415632472060
10131222101032
1150718500790
1221522023a60
13c4b3136839
1464cb90d568
1536302b77dc
hex1e8d725c28

131222101032 has 128 divisors (see below), whose sum is σ = 401359795200. Its totient is φ = 39392568000.

The previous prime is 131222101019. The next prime is 131222101061. The reversal of 131222101032 is 230101222131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131222100996 and 131222101014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3844 + ... + 512307.

It is an arithmetic number, because the mean of its divisors is an integer number (3135623400).

Almost surely, 2131222101032 is an apocalyptic number.

131222101032 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 131222101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200679897600).

131222101032 is an abundant number, since it is smaller than the sum of its proper divisors (270137694168).

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

131222101032 is a wasteful number, since it uses less digits than its factorization.

131222101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516284 (or 516274 counting only the distinct ones).

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

Adding to 131222101032 its reverse (230101222131), we get a palindrome (361323323163).

The spelling of 131222101032 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 107 108 132 198 214 216 264 297 321 396 428 594 642 792 856 963 1177 1188 1284 1926 2354 2376 2568 2889 3531 3852 4708 5778 7062 7704 9416 10593 11556 14124 21186 23112 28248 31779 42372 63558 84744 127116 254232 516151 1032302 1548453 2064604 3096906 4129208 4645359 5677661 6193812 9290718 11355322 12387624 13936077 17032983 18581436 22710644 27872154 34065966 37162872 45421288 51098949 55228157 55744308 68131932 102197898 110456314 111488616 136263864 153296847 165684471 204395796 220912628 306593694 331368942 408791592 441825256 497053413 607509727 613187388 662737884 994106826 1215019454 1226374776 1325475768 1491160239 1822529181 1988213652 2430038908 2982320478 3645058362 3976427304 4860077816 5467587543 5964640956 7290116724 10935175086 11929281912 14580233448 16402762629 21870350172 32805525258 43740700344 65611050516 131222101032