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100110021213 = 32931371496733
BaseRepresentation
bin101110100111100000…
…1011011001001011101
3100120101211122222222110
41131033001123021131
53120011131134323
6113553453104233
710142551066026
oct1351701331135
9316354588873
10100110021213
1139502551724
121749a788079
139595551657
144bb98ddc4d
15290dc1d793
hex174f05b25d

100110021213 has 64 divisors (see below), whose sum is σ = 147393792000. Its totient is φ = 60258401280.

The previous prime is 100110021199. The next prime is 100110021227. The reversal of 100110021213 is 312120011001.

It is an interprime number because it is at equal distance from previous prime (100110021199) and next prime (100110021227).

It is not a de Polignac number, because 100110021213 - 25 = 100110021181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110021233) 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, 14865195 + ... + 14871927.

It is an arithmetic number, because the mean of its divisors is an integer number (2303028000).

Almost surely, 2100110021213 is an apocalyptic number.

It is an amenable number.

100110021213 is a deficient number, since it is larger than the sum of its proper divisors (47283770787).

100110021213 is a wasteful number, since it uses less digits than its factorization.

100110021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100110021213 its reverse (312120011001), we get a palindrome (412230032214).

The spelling of 100110021213 in words is "one hundred billion, one hundred ten million, twenty-one thousand, two hundred thirteen".

Divisors: 1 3 29 31 37 87 93 111 149 447 899 1073 1147 2697 3219 3441 4321 4619 5513 6733 12963 13857 16539 20199 33263 99789 133951 159877 170903 195257 208723 249121 401853 479631 512709 585771 626169 747363 1003217 3009651 4956187 6052967 7224509 7722751 14868561 18158901 21673527 23168253 29093293 31099727 37119029 87279879 93299181 111357087 223959779 671879337 901892083 1076451841 1150689899 2705676249 3229355523 3452069697 33370007071 100110021213