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100131010021 = 71719291527109
BaseRepresentation
bin101110101000001000…
…1011111010111100101
3100120110022011100012201
41131100101133113211
53120032014310041
6113555523014501
710143224353630
oct1352021372745
9316408140181
10100131010021
1139513387949
12174a580a431
1395999bcb73
144bbc604c17
1529109b7631
hex175045f5e5

100131010021 has 32 divisors (see below), whose sum is σ = 131942304000. Its totient is φ = 73887593472.

The previous prime is 100131010009. The next prime is 100131010033. The reversal of 100131010021 is 120010131001.

It is an interprime number because it is at equal distance from previous prime (100131010009) and next prime (100131010033).

It is not a de Polignac number, because 100131010021 - 25 = 100131009989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131010121) 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, 697986 + ... + 829123.

It is an arithmetic number, because the mean of its divisors is an integer number (4123197000).

Almost surely, 2100131010021 is an apocalyptic number.

It is an amenable number.

100131010021 is a deficient number, since it is larger than the sum of its proper divisors (31811293979).

100131010021 is a wasteful number, since it uses less digits than its factorization.

100131010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527181.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100131010021 its reverse (120010131001), we get a palindrome (220141141022).

The spelling of 100131010021 in words is "one hundred billion, one hundred thirty-one million, ten thousand, twenty-one".

Divisors: 1 7 17 19 29 119 133 203 323 493 551 2261 3451 3857 9367 65569 1527109 10689763 25960853 29015071 44286161 181725971 203105497 310003127 493256207 752864737 841437059 3452793449 5270053159 5890059413 14304430003 100131010021