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132211231530 = 23571942178707
BaseRepresentation
bin111101100100001100…
…1110100101100101010
3110122021000202110000220
41323020121310230222
54131232033402110
6140423105310510
712360213632340
oct1731031645452
9418230673026
10132211231530
1151085880104
1221759335436
13c610039461
14658302b990
15368c04d370
hex1ec8674b2a

132211231530 has 128 divisors (see below), whose sum is σ = 382634219520. Its totient is φ = 28560833280.

The previous prime is 132211231517. The next prime is 132211231541. The reversal of 132211231530 is 35132112231.

It is a happy number.

It is a super-2 number, since 2×1322112315302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132211231530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1640437 + ... + 1719143.

It is an arithmetic number, because the mean of its divisors is an integer number (2989329840).

Almost surely, 2132211231530 is an apocalyptic number.

132211231530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132211231530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191317109760).

132211231530 is an abundant number, since it is smaller than the sum of its proper divisors (250422987990).

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

132211231530 is a wasteful number, since it uses less digits than its factorization.

132211231530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79164.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 132211231530 its reverse (35132112231), we get a palindrome (167343343761).

It can be divided in two parts, 13221123 and 1530, that added together give a triangular number (13222653 = T5142).

The spelling of 132211231530 in words is "one hundred thirty-two billion, two hundred eleven million, two hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 421 570 665 798 842 1263 1330 1995 2105 2526 2947 3990 4210 5894 6315 7999 8841 12630 14735 15998 17682 23997 29470 39995 44205 47994 55993 78707 79990 88410 111986 119985 157414 167979 236121 239970 279965 335958 393535 472242 550949 559930 787070 839895 1101898 1180605 1495433 1652847 1679790 2361210 2754745 2990866 3305694 4486299 5509490 7477165 8264235 8972598 10468031 14954330 16528470 20936062 22431495 31404093 33135647 44862990 52340155 62808186 66271294 99406941 104680310 157020465 165678235 198813882 231949529 314040930 331356470 463899058 497034705 629577293 695848587 994069410 1159747645 1259154586 1391697174 1888731879 2319495290 3147886465 3479242935 3777463758 4407041051 6295772930 6958485870 8814082102 9443659395 13221123153 18887318790 22035205255 26442246306 44070410510 66105615765 132211231530