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100131102 = 232193741193
BaseRepresentation
bin1011111011111…
…10000100011110
320222102012001100
411331332010132
5201113143402
613534053530
72324046261
oct575760436
9228365040
10100131102
1151580a85
122964a2a6
131798b396
14d426cd8
158bcd71c
hex5f7e11e

100131102 has 96 divisors (see below), whose sum is σ = 241506720. Its totient is φ = 29859840.

The previous prime is 100131089. The next prime is 100131127. The reversal of 100131102 is 201131001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518718 + ... + 518910.

It is an arithmetic number, because the mean of its divisors is an integer number (2515695).

Almost surely, 2100131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120753360).

100131102 is an abundant number, since it is smaller than the sum of its proper divisors (141375618).

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

100131102 is a wasteful number, since it uses less digits than its factorization.

100131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100131102 is about 10006.5529529404. The cubic root of 100131102 is about 464.3616353095.

Adding to 100131102 its reverse (201131001), we get a palindrome (301262103).

The spelling of 100131102 in words is "one hundred million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 37 38 41 57 74 82 111 114 123 171 193 222 246 333 342 369 386 579 666 703 738 779 1158 1406 1517 1558 1737 2109 2337 3034 3474 3667 4218 4551 4674 6327 7011 7141 7334 7913 9102 11001 12654 13653 14022 14282 15826 21423 22002 23739 27306 28823 33003 42846 47478 57646 64269 66006 71217 86469 128538 135679 142434 150347 172938 259407 271358 292781 300694 407037 451041 518814 585562 814074 878343 902082 1221111 1353123 1756686 2442222 2635029 2706246 5270058 5562839 11125678 16688517 33377034 50065551 100131102