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100102002210 = 23257673323599
BaseRepresentation
bin101110100111010001…
…0110101011000100010
3100120101021120120222100
41131032202311120202
53120002103032320
6113553005151230
710142422660020
oct1351642653042
9316337516870
10100102002210
11394a8a74951
1217497b5b516
1395939a4692
144bb8813710
15290d187790
hex174e8b5622

100102002210 has 96 divisors (see below), whose sum is σ = 297502732800. Its totient is φ = 22876089984.

The previous prime is 100102002199. The next prime is 100102002211. The reversal of 100102002210 is 12200201001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102002192 and 100102002201.

It is not an unprimeable number, because it can be changed into a prime (100102002211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4229991 + ... + 4253589.

It is an arithmetic number, because the mean of its divisors is an integer number (3098986800).

Almost surely, 2100102002210 is an apocalyptic number.

100102002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102002210 is an abundant number, since it is smaller than the sum of its proper divisors (197400730590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102002210 is a wasteful number, since it uses less digits than its factorization.

100102002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30352 (or 30349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102002210 its reverse (12200201001), we get a palindrome (112302203211).

The spelling of 100102002210 in words is "one hundred billion, one hundred two million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 6733 13466 20199 23599 33665 40398 47131 47198 60597 67330 70797 94262 100995 117995 121194 141393 141594 165193 201990 212391 235655 235990 282786 302985 330386 353985 424179 424782 471310 495579 605970 706965 707970 825965 848358 991158 1061955 1413930 1486737 1651930 2120895 2123910 2477895 2973474 4241790 4955790 7433685 14867370 158892067 317784134 476676201 794460335 953352402 1112244469 1430028603 1588920670 2224488938 2383381005 2860057206 3336733407 4766762010 5561222345 6673466814 7150143015 10010200221 11122444690 14300286030 16683667035 20020400442 33367334070 50051001105 100102002210