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100103003113200 = 24352252533303337
BaseRepresentation
bin10110110000101100001011…
…111100010000011011110000
3111010102202100101211211101020
4112300230023330100123300
5101110041422244110300
6552522403524535440
730041126510150643
oct2660541374203360
9433382311754336
10100103003113200
112999449963970a
12b288771251580
1343b1898b89c39
141aa1022a49a5a
15b88d974b58a0
hex5b0b0bf106f0

100103003113200 has 120 divisors (see below), whose sum is σ = 320676081743088. Its totient is φ = 26693069015040.

The previous prime is 100103003113193. The next prime is 100103003113213. The reversal of 100103003113200 is 2311300301001.

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

It is a super-2 number, since 2×1001030031132002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100103003113200.

It is a congruent number.

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, 28651932 + ... + 31955268.

Almost surely, 2100103003113200 is an apocalyptic number.

100103003113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103003113200 is an abundant number, since it is smaller than the sum of its proper divisors (220573078629888).

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

100103003113200 is a wasteful number, since it uses less digits than its factorization.

100103003113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328611 (or 3328600 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100103003113200 its reverse (2311300301001), we get a palindrome (102414303414201).

The spelling of 100103003113200 in words is "one hundred trillion, one hundred three billion, three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25253 50506 75759 101012 126265 151518 202024 252530 303036 378795 404048 505060 606072 631325 757590 1010120 1212144 1262650 1515180 1893975 2020240 2525300 3030360 3303337 3787950 5050600 6060720 6606674 7575900 9910011 10101200 13213348 15151800 16516685 19820022 26426696 30303600 33033370 39640044 49550055 52853392 66066740 79280088 82583425 99100110 132133480 158560176 165166850 198200220 247750275 264266960 330333700 396400440 495500550 660667400 792800880 991001100 1321334800 1982002200 3964004400 83419169261 166838338522 250257507783 333676677044 417095846305 500515015566 667353354088 834191692610 1001030031132 1251287538915 1334706708176 1668383385220 2002060062264 2085479231525 2502575077830 3336766770440 4004120124528 4170958463050 5005150155660 6256437694575 6673533540880 8341916926100 10010300311320 12512875389150 16683833852200 20020600622640 25025750778300 33367667704400 50051501556600 100103003113200