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111720576380 = 22574720998089
BaseRepresentation
bin110100000001100010…
…0001011010101111100
3101200100222222022110012
41220003010023111330
53312300431421010
6123153531402352
711033353142060
oct1500304132574
9350328868405
10111720576380
1143420397666
121979abb33b8
13a6c5acc03a
14559b903aa0
152d8d1b3005
hex1a0310b57c

111720576380 has 96 divisors (see below), whose sum is σ = 273998592000. Its totient is φ = 37466721792.

The previous prime is 111720576361. The next prime is 111720576389. The reversal of 111720576380 is 83675027111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111720576389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13807376 + ... + 13815464.

It is an arithmetic number, because the mean of its divisors is an integer number (2854152000).

Almost surely, 2111720576380 is an apocalyptic number.

111720576380 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 111720576380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136999296000).

111720576380 is an abundant number, since it is smaller than the sum of its proper divisors (162278015620).

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

111720576380 is a wasteful number, since it uses less digits than its factorization.

111720576380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10251 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 111720576380 in words is "one hundred eleven billion, seven hundred twenty million, five hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 2099 3290 4198 6580 8089 8396 10495 14693 16178 20990 29386 32356 40445 41980 56623 58772 73465 80890 98653 113246 146930 161780 197306 226492 283115 293860 380183 394612 493265 566230 690571 760366 986530 1132460 1381142 1520732 1900915 1973060 2661281 2762284 3452855 3801830 5322562 6905710 7603660 10645124 13306405 13811420 16978811 26612810 33957622 53225620 67915244 84894055 118851677 169788110 237703354 339576220 475406708 594258385 798004117 1188516770 1596008234 2377033540 3192016468 3990020585 5586028819 7980041170 11172057638 15960082340 22344115276 27930144095 55860288190 111720576380