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107022784128001 = 71311141110227823
BaseRepresentation
bin11000010101011000101111…
…000001111110010000000001
3112000221021111211122010112121
4120111120233001332100001
5103011430130214044001
61015341331023124241
731354066234250560
oct3025305701762001
9460837454563477
10107022784128001
1131112120620075
1210005895a43681
134794288ba9c01
141c5dd04dc1bd7
15c58d9538b6a1
hex61562f07e401

107022784128001 has 16 divisors (see below), whose sum is σ = 123256243427328. Its totient is φ = 91025570235600.

The previous prime is 107022784127993. The next prime is 107022784128077. The reversal of 107022784128001 is 100821487220701.

It is not a de Polignac number, because 107022784128001 - 23 = 107022784127993 is a prime.

It is a super-2 number, since 2×1070227841280012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107022784128101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5349976 + ... + 15577798.

It is an arithmetic number, because the mean of its divisors is an integer number (7703515214208).

Almost surely, 2107022784128001 is an apocalyptic number.

It is an amenable number.

107022784128001 is a deficient number, since it is larger than the sum of its proper divisors (16233459299327).

107022784128001 is a wasteful number, since it uses less digits than its factorization.

107022784128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239372.

The product of its (nonzero) digits is 100352, while the sum is 43.

The spelling of 107022784128001 in words is "one hundred seven trillion, twenty-two billion, seven hundred eighty-four million, one hundred twenty-eight thousand, one".

Divisors: 1 7 131 917 11411 79877 1494841 10227823 10463887 71594761 1339844813 9378913691 116709688253 816967817771 15288969161143 107022784128001