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132352123524204 = 223194361132208377
BaseRepresentation
bin11110000101111110100001…
…010011101101010001101100
3122100121201222001101112200110
4132011332201103231101230
5114321424122110233304
61145253420504100020
736610061000606463
oct3605764123552154
9570551861345613
10132352123524204
1139198247353541
1212a1688a464610
1358b09a062126c
142497c3c5319da
151047bb0c3c289
hex785fa14ed46c

132352123524204 has 96 divisors (see below), whose sum is σ = 332689848986880. Its totient is φ = 40816724594688.

The previous prime is 132352123524191. The next prime is 132352123524217. The reversal of 132352123524204 is 402425321253231.

It is an interprime number because it is at equal distance from previous prime (132352123524191) and next prime (132352123524217).

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, 58827664 + ... + 61036040.

It is an arithmetic number, because the mean of its divisors is an integer number (3465519260280).

Almost surely, 2132352123524204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132352123524204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166344924493440).

132352123524204 is an abundant number, since it is smaller than the sum of its proper divisors (200337725462676).

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

132352123524204 is a wasteful number, since it uses less digits than its factorization.

132352123524204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214559 (or 2214557 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 132352123524204 its reverse (402425321253231), we get a palindrome (534777444777435).

It can be divided in two parts, 1323521 and 23524204, that added together give a triangular number (24847725 = T7049).

The spelling of 132352123524204 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, one hundred twenty-three million, five hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 6113 9804 12226 18339 24452 36678 73356 116147 232294 262859 348441 464588 525718 696882 788577 1051436 1393764 1577154 2208377 3154308 4416754 4994321 6625131 8833508 9988642 13250262 14982963 19977284 26500524 29965926 41959163 59931852 83918326 94960211 125877489 167836652 189920422 251754978 284880633 379840844 503509956 569761266 1139522532 1804244009 3608488018 5412732027 7216976036 10825464054 13499808601 21650928108 26999617202 40499425803 53999234404 80998851606 161997703212 256496363419 512992726838 580491769843 769489090257 1025985453676 1160983539686 1538978180514 1741475309529 2321967079372 3077956361028 3482950619058 6965901238116 11029343627017 22058687254034 33088030881051 44117374508068 66176061762102 132352123524204