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100122011010 = 2345717658203
BaseRepresentation
bin101110100111110111…
…1001010010110000010
3100120102200020010220000
41131033233022112002
53120022213323020
6113555002100430
710143055023510
oct1351757122602
9316380203800
10100122011010
11395092a084a
12174a27aa716
139597b8bac8
144bbb3414b0
15290ecdb090
hex174fbca582

100122011010 has 80 divisors (see below), whose sum is σ = 307676546496. Its totient is φ = 22885029792.

The previous prime is 100122010993. The next prime is 100122011039. The reversal of 100122011010 is 10110221001.

It is a happy number.

It is a super-2 number, since 2×1001220110102 (a number of 23 digits) contains 22 as substring.

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 = 100122010983 and 100122011001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8823432 + ... + 8834771.

Almost surely, 2100122011010 is an apocalyptic number.

100122011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122011010 is an abundant number, since it is smaller than the sum of its proper divisors (207554535486).

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

100122011010 is a wasteful number, since it uses less digits than its factorization.

100122011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658229 (or 17658220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100122011010 its reverse (10110221001), we get a palindrome (110232232011).

The spelling of 100122011010 in words is "one hundred billion, one hundred twenty-two million, eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 17658203 35316406 52974609 88291015 105949218 123607421 158923827 176582030 247214842 264873045 317847654 370822263 476771481 529746090 618037105 741644526 794619135 953542962 1112466789 1236074210 1430314443 1589238270 1854111315 2224933578 2383857405 2860628886 3337400367 3708222630 4767714810 5562333945 6674800734 7151572215 10012201101 11124667890 14303144430 16687001835 20024402202 33374003670 50061005505 100122011010