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113077944320 = 21551162743
BaseRepresentation
bin110100101001111111…
…0001000000000000000
3101210212121002202012212
41221103332020000000
53323040423204240
6123540340441252
711112114445025
oct1512376100000
9353777082185
10113077944320
1143a57608250
1219ab96a9228
13a8810a1c33
145689cb954c
152e1c436165
hex1a53f88000

113077944320 has 128 divisors (see below), whose sum is σ = 296058818880. Its totient is φ = 41118597120.

The previous prime is 113077944299. The next prime is 113077944337. The reversal of 113077944320 is 23449770311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770869 + ... + 1833611.

Almost surely, 2113077944320 is an apocalyptic number.

113077944320 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 113077944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148029409440).

113077944320 is an abundant number, since it is smaller than the sum of its proper divisors (182980874560).

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

113077944320 is an frugal number, since it uses more digits than its factorization.

113077944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62789 (or 62761 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 113077944320 in words is "one hundred thirteen billion, seventy-seven million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 8192 10240 11264 14080 16384 20480 22528 28160 32768 40960 45056 56320 62743 81920 90112 112640 125486 163840 180224 225280 250972 313715 360448 450560 501944 627430 690173 901120 1003888 1254860 1380346 1802240 2007776 2509720 2760692 3450865 4015552 5019440 5521384 6901730 8031104 10038880 11042768 13803460 16062208 20077760 22085536 27606920 32124416 40155520 44171072 55213840 64248832 80311040 88342144 110427680 128497664 160622080 176684288 220855360 256995328 321244160 353368576 441710720 513990656 642488320 706737152 883421440 1027981312 1284976640 1413474304 1766842880 2055962624 2569953280 2826948608 3533685760 5139906560 5653897216 7067371520 10279813120 11307794432 14134743040 22615588864 28269486080 56538972160 113077944320