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132112031020040 = 23533795313677523
BaseRepresentation
bin11110000010011110111010…
…101011011111010000001000
3122022202210020120222121211102
4132002132322223133100020
5114304010414420120130
61144551232412320532
736553531200156311
oct3602367253372010
9568683216877742
10132112031020040
11391054413a2585
1212998243a73148
13589415a031b56
14248a383883608
15104180cb0c645
hex7827baadf408

132112031020040 has 128 divisors (see below), whose sum is σ = 298704983765760. Its totient is φ = 52587222933504.

The previous prime is 132112031019977. The next prime is 132112031020097. The reversal of 132112031020040 is 40020130211231.

It is a super-2 number, since 2×1321120310200402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132112031019994 and 132112031020021.

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, 17561079719 + ... + 17561087241.

It is an arithmetic number, because the mean of its divisors is an integer number (2333632685670).

Almost surely, 2132112031020040 is an apocalyptic number.

132112031020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112031020040 is an abundant number, since it is smaller than the sum of its proper divisors (166592952745720).

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

132112031020040 is a wasteful number, since it uses less digits than its factorization.

132112031020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10191 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132112031020040 its reverse (40020130211231), we get a palindrome (172132161231271).

The spelling of 132112031020040 in words is "one hundred thirty-two trillion, one hundred twelve billion, thirty-one million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 953 1348 1367 1685 1906 2696 2734 3370 3812 4765 5468 6740 6835 7523 7624 9530 10936 13480 13670 15046 19060 27340 30092 37615 38120 54680 60184 75230 150460 300920 321161 460679 642322 921358 1284644 1302751 1605805 1842716 2303395 2535251 2569288 2605502 3211610 3685432 4606790 5070502 5211004 6423220 6513755 7169419 9213580 10141004 10283941 10422008 12676255 12846440 13027510 14338838 18427160 20282008 20567882 25352510 26055020 28677676 35847095 41135764 50705020 51419705 52110040 57355352 71694190 82271528 101410040 102839410 143388380 205678820 286776760 411357640 439027087 878054174 1756108348 2195135435 2416094203 3465688117 3512216696 4390270870 4832188406 6931376234 8780541740 9664376812 9800595773 12080471015 13862752468 17328440585 17561083480 19328753624 19601191546 24160942030 27725504936 34656881170 39202383092 48321884060 49002978865 69313762340 78404766184 96643768120 98005957730 138627524680 196011915460 392023830920 3302800775501 6605601551002 13211203102004 16514003877505 26422406204008 33028007755010 66056015510020 132112031020040