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100015020541441 = 1272638293612029
BaseRepresentation
bin10110101111011010001111…
…110001011000011000000001
3111010010100020202010002112101
4112233122033301120120001
5101102121230224311231
6552414133253030401
730031563305504245
oct2657321761303001
9433110222102471
10100015020541441
112996014a789295
12b2736b8025401
1343a64b70049a5
141a9aa77a62425
15b869482e0661
hex5af68fc58601

100015020541441 has 16 divisors (see below), whose sum is σ = 101307905740800. Its totient is φ = 98730942182208.

The previous prime is 100015020541439. The next prime is 100015020541489. The reversal of 100015020541441 is 144145020510001.

It is a cyclic number.

It is not a de Polignac number, because 100015020541441 - 21 = 100015020541439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100015020547441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25883415 + ... + 29495443.

It is an arithmetic number, because the mean of its divisors is an integer number (6331744108800).

Almost surely, 2100015020541441 is an apocalyptic number.

It is an amenable number.

100015020541441 is a deficient number, since it is larger than the sum of its proper divisors (1292885199359).

100015020541441 is a wasteful number, since it uses less digits than its factorization.

100015020541441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613248.

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 100015020541441 in words is "one hundred trillion, fifteen billion, twenty million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 127 263 829 33401 105283 218027 3612029 27689429 458727683 949963627 2994372041 120645380629 380285249207 787519846783 100015020541441