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100629371217 = 3591135031217
BaseRepresentation
bin101110110110111111…
…0100101100101010001
3100121202000220201020210
41131231332211211101
53122042104334332
6114121204354333
710161455354004
oct1355576454521
9317660821223
10100629371217
1139749725001
12176046a59a9
13964902004b
144c2889153b
15293e609ecc
hex176dfa5951

100629371217 has 16 divisors (see below), whose sum is σ = 137654124480. Its totient is φ = 65365558272.

The previous prime is 100629371207. The next prime is 100629371231. The reversal of 100629371217 is 712173926001.

It is not a de Polignac number, because 100629371217 - 26 = 100629371153 is a prime.

It is a super-2 number, since 2×1006293712172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100629371207) 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, 2495608 + ... + 2535609.

It is an arithmetic number, because the mean of its divisors is an integer number (8603382780).

Almost surely, 2100629371217 is an apocalyptic number.

It is an amenable number.

100629371217 is a deficient number, since it is larger than the sum of its proper divisors (37024753263).

100629371217 is a wasteful number, since it uses less digits than its factorization.

100629371217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031392.

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 100629371217 in words is "one hundred billion, six hundred twenty-nine million, three hundred seventy-one thousand, two hundred seventeen".

Divisors: 1 3 59 113 177 339 6667 20001 5031217 15093651 296841803 568527521 890525409 1705582563 33543123739 100629371217