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100125431331 = 3415933194157
BaseRepresentation
bin101110100111111110…
…0001101011000100011
3100120102220122220200120
41131033330031120203
53120024102300311
6113555203251323
710143126060342
oct1351774153043
9316386586616
10100125431331
1139510217562
12174a3979b43
1395987b8873
144bbb991b59
152910264706
hex174ff0d623

100125431331 has 32 divisors (see below), whose sum is σ = 139149964800. Its totient is φ = 63983781120.

The previous prime is 100125431311. The next prime is 100125431347. The reversal of 100125431331 is 133134521001.

It is not a de Polignac number, because 100125431331 - 29 = 100125430819 is a prime.

It is a super-2 number, since 2×1001254313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100125431311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24083905 + ... + 24088061.

It is an arithmetic number, because the mean of its divisors is an integer number (4348436400).

Almost surely, 2100125431331 is an apocalyptic number.

100125431331 is a deficient number, since it is larger than the sum of its proper divisors (39024533469).

100125431331 is a wasteful number, since it uses less digits than its factorization.

100125431331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 100125431331 its reverse (133134521001), we get a palindrome (233259952332).

The spelling of 100125431331 in words is "one hundred billion, one hundred twenty-five million, four hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 41 59 123 177 2419 3319 4157 7257 9957 12471 136079 170437 195821 245263 408237 511311 587463 735789 8028661 10055783 13797083 24085983 30167349 41391249 565680403 814027897 1697041209 2442083691 33375143777 100125431331