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100102320 = 24325413391
BaseRepresentation
bin1011111011101…
…11000010110000
320222100201120100
411331313002300
5201111233240
613533312400
72323566333
oct575670260
9228321510
10100102320
115156139a
1229635700
131797b256
14d41a61a
158bc4e30
hex5f770b0

100102320 has 120 divisors (see below), whose sum is σ = 344477952. Its totient is φ = 26035200.

The previous prime is 100102283. The next prime is 100102333. The reversal of 100102320 is 23201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27825 + ... + 31215.

Almost surely, 2100102320 is an apocalyptic number.

100102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172238976).

100102320 is an abundant number, since it is smaller than the sum of its proper divisors (244375632).

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

100102320 is a wasteful number, since it uses less digits than its factorization.

100102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100102320 is about 10005.1146919963. The cubic root of 100102320 is about 464.3171385211.

Adding to 100102320 its reverse (23201001), we get a palindrome (123303321).

The spelling of 100102320 in words is "one hundred million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3391 3690 4920 5904 6782 7380 9840 10173 13564 14760 16955 20346 27128 29520 30519 33910 40692 50865 54256 61038 67820 81384 101730 122076 135640 139031 152595 162768 203460 244152 271280 278062 305190 406920 417093 488304 556124 610380 695155 813840 834186 1112248 1220760 1251279 1390310 1668372 2085465 2224496 2441520 2502558 2780620 3336744 4170930 5005116 5561240 6256395 6673488 8341860 10010232 11122480 12512790 16683720 20020464 25025580 33367440 50051160 100102320