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132301322120032 = 25134366111189249
BaseRepresentation
bin11110000101001111001101…
…010011101110101101100000
3122100102212211121120211012121
4132011033031103232231200
5114320111101430320112
61145214215513434024
736603312045031432
oct3605171523565540
9570385747524177
10132301322120032
113917874828069a
1212a08a7110b914
1358a8c658294b0
1424955bd5cc652
1510466dad44407
hex7853cd4eeb60

132301322120032 has 96 divisors (see below), whose sum is σ = 287461858068000. Its totient is φ = 59551863275520.

The previous prime is 132301322120021. The next prime is 132301322120041. The reversal of 132301322120032 is 230021223103231.

It is a junction number, because it is equal to n+sod(n) for n = 132301322119979 and 132301322120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6229344 + ... + 17418592.

It is an arithmetic number, because the mean of its divisors is an integer number (2994394354875).

Almost surely, 2132301322120032 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 132301322120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143730929034000).

132301322120032 is an abundant number, since it is smaller than the sum of its proper divisors (155160535947968).

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

132301322120032 is a wasteful number, since it uses less digits than its factorization.

132301322120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189976 (or 11189968 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 132301322120032 its reverse (230021223103231), we get a palindrome (362322545223263).

The spelling of 132301322120032 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred twenty-two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 661 688 1118 1322 1376 2236 2644 4472 5288 8593 8944 10576 17186 17888 21152 28423 34372 56846 68744 113692 137488 227384 274976 369499 454768 738998 909536 1477996 2955992 5911984 11189249 11823968 22378498 44756996 89513992 145460237 179027984 290920474 358055968 481137707 581840948 962275414 1163681896 1924550828 2327363792 3849101656 4654727584 6254790191 7396093589 7698203312 12509580382 14792187178 15396406624 25019160764 29584374356 50038321528 59168748712 96149216657 100076643056 118337497424 192298433314 200153286112 236674994848 318032024327 384596866628 636064048654 769193733256 1272128097308 1538387466512 2544256194616 3076774933024 4134416316251 5088512389232 8268832632502 10177024778464 16537665265004 33075330530008 66150661060016 132301322120032