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113412103400 = 235217107311743
BaseRepresentation
bin110100110011111100…
…0110101110011101000
3101211201212212210022002
41221213320311303220
53324231444302100
6124033434550132
711123312654531
oct1514770656350
9354655783262
10113412103400
11441091a2982
1219b91598348
13a90539cabb
1456bc421688
152e3b9412d5
hex1a67e35ce8

113412103400 has 96 divisors (see below), whose sum is σ = 281804106240. Its totient is φ = 42297154560.

The previous prime is 113412103381. The next prime is 113412103439. The reversal of 113412103400 is 4301214311.

It is a super-2 number, since 2×1134121034002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 207929 + ... + 519671.

It is an arithmetic number, because the mean of its divisors is an integer number (2935459440).

Almost surely, 2113412103400 is an apocalyptic number.

113412103400 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 113412103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140902053120).

113412103400 is an abundant number, since it is smaller than the sum of its proper divisors (168392002840).

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

113412103400 is a wasteful number, since it uses less digits than its factorization.

113412103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311883 (or 311874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113412103400 its reverse (4301214311), we get a palindrome (117713317711).

The spelling of 113412103400 in words is "one hundred thirteen billion, four hundred twelve million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 107 136 170 200 214 340 425 428 535 680 850 856 1070 1700 1819 2140 2675 3400 3638 4280 5350 7276 9095 10700 14552 18190 21400 36380 45475 72760 90950 181900 311743 363800 623486 1246972 1558715 2493944 3117430 5299631 6234860 7793575 10599262 12469720 15587150 21198524 26498155 31174300 33356501 42397048 52996310 62348600 66713002 105992620 132490775 133426004 166782505 211985240 264981550 266852008 333565010 529963100 567060517 667130020 833912525 1059926200 1134121034 1334260040 1667825050 2268242068 2835302585 3335650100 4536484136 5670605170 6671300200 11341210340 14176512925 22682420680 28353025850 56706051700 113412103400