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100525404245331 = 31323299109424243
BaseRepresentation
bin10110110110110101100101…
…000000101100110101010011
3111011221010122021002121200110
4112312311211000230311103
5101134002011441322311
6553444422211052403
730113502141426042
oct2666654500546523
9434833567077613
10100525404245331
112a03764800614a
12b3365b65a1103
134412674496c40
141ab7653d6a559
15b94d6a8268a6
hex5b6d6502cd53

100525404245331 has 64 divisors (see below), whose sum is σ = 155831269708800. Its totient is φ = 57125318874624.

The previous prime is 100525404245327. The next prime is 100525404245333. The reversal of 100525404245331 is 133542404525001.

It is not a de Polignac number, because 100525404245331 - 22 = 100525404245327 is a prime.

It is a super-2 number, since 2×1005254042453312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 100525404245331.

It is not an unprimeable number, because it can be changed into a prime (100525404245333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236740296 + ... + 237164538.

It is an arithmetic number, because the mean of its divisors is an integer number (2434863589200).

Almost surely, 2100525404245331 is an apocalyptic number.

100525404245331 is a deficient number, since it is larger than the sum of its proper divisors (55305865463469).

100525404245331 is a wasteful number, since it uses less digits than its factorization.

100525404245331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433420.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 100525404245331 in words is "one hundred trillion, five hundred twenty-five billion, four hundred four million, two hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 3 13 23 29 39 69 87 299 377 667 897 1131 2001 8671 9109 26013 27327 118417 209507 264161 355251 424243 628521 792483 1272729 2723591 3434093 5515159 6075703 8170773 9757589 10302279 12303047 16545477 18227109 29272767 36909141 78984139 126848657 159939611 236952417 282970081 380545971 479818833 848910243 3678611053 3864429487 11035833159 11593288461 50237583331 88881878201 112068455123 150712749993 266645634603 336205365369 1155464416613 1456889916599 2577574467829 3466393249839 4370669749797 7732723403487 33508468081777 100525404245331