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100404313295 = 511134713032293
BaseRepresentation
bin101110110000010010…
…0000011110011001111
3100121011100102120211012
41131200210003303033
53121112001011140
6114043004515435
710153053403316
oct1354044036317
9317140376735
10100404313295
1139643687720
121756124bb7b
139611501390
144c06a2927d
1529299a1265
hex1760903ccf

100404313295 has 64 divisors (see below), whose sum is σ = 144734736384. Its totient is φ = 65890782720.

The previous prime is 100404313259. The next prime is 100404313297. The reversal of 100404313295 is 592313404001.

It is not a de Polignac number, because 100404313295 - 214 = 100404296911 is a prime.

It is a super-2 number, since 2×1004043132952 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404313297) 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, 43786169 + ... + 43788461.

It is an arithmetic number, because the mean of its divisors is an integer number (2261480256).

Almost surely, 2100404313295 is an apocalyptic number.

100404313295 is a deficient number, since it is larger than the sum of its proper divisors (44330423089).

100404313295 is a wasteful number, since it uses less digits than its factorization.

100404313295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 100404313295 its reverse (592313404001), we get a palindrome (692717717296).

The spelling of 100404313295 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, two hundred ninety-five".

Divisors: 1 5 11 13 47 55 65 143 235 517 611 715 1303 2293 2585 3055 6515 6721 11465 14333 16939 25223 29809 33605 61241 71665 84695 107771 126115 149045 186329 306205 327899 538855 673651 796133 931645 1185481 1401023 1639495 2987779 3368255 3980665 5927405 7005115 8757463 14938895 15411253 32865569 38841127 43787315 77056265 140425613 164327845 194205635 427252397 702128065 1544681743 1825532969 2136261985 7723408715 9127664845 20080862659 100404313295