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101525332656484 = 22112232199132
BaseRepresentation
bin10111000101011000110101…
…011000111000000101100100
3111022110201121222210221201201
4113011120311120320011210
5101301342340130001414
6555532032143132244
730245651246613202
oct2705306530700544
9438421558727651
10101525332656484
112a392719585300
12b4783585a4084
134485a4a9889c9
141b0dbd0a9a072
15bb0d90b4b574
hex5c5635638164

101525332656484 has 81 divisors (see below), whose sum is σ = 204159695790169. Its totient is φ = 44139232265920.

The previous prime is 101525332656437. The next prime is 101525332656499. The reversal of 101525332656484 is 484656233525101.

The square root of 101525332656484 is 10075978.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2281338368100 + 99243994288384 = 1510410^2 + 9962128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5098434912 + ... + 5098454824.

Almost surely, 2101525332656484 is an apocalyptic number.

101525332656484 is the 10075978-th square number.

It is an amenable number.

101525332656484 is an abundant number, since it is smaller than the sum of its proper divisors (102634363133685).

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

101525332656484 is an frugal number, since it uses more digits than its factorization.

101525332656484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39898 (or 19949 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 101525332656484 in words is "one hundred one trillion, five hundred twenty-five billion, three hundred thirty-two million, six hundred fifty-six thousand, four hundred eighty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 2116 2783 5566 5819 11132 11638 19913 23276 39826 64009 79652 128018 219043 256036 438086 457999 876172 915998 1831996 2409473 4818946 5037989 9637892 10075978 10533977 20151956 21067954 42135908 55417879 110835758 115873747 221671516 231747494 396527569 463494988 793055138 1274611217 1586110276 2549222434 4361803259 5098444868 8723606518 9120134087 17447213036 18240268174 36480536348 47979835849 95959671698 100321474957 191919343396 200642949914 209763084001 401285899828 419526168002 839052336004 1103536224527 2207072449054 2307393924011 4414144898108 4614787848022 9229575696044 25381333164121 50762666328242 101525332656484