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113991710160 = 2435617998561
BaseRepresentation
bin110101000101001101…
…1110111010111010000
3101220020021111212022010
41222022123313113100
53331423334211120
6124211141542520
711143551356256
oct1521233672720
9356207455263
10113991710160
1144386392029
121a113714a40
13a9984a8293
1457353ba5d6
152e727817e0
hex1a8a6f75d0

113991710160 has 160 divisors (see below), whose sum is σ = 363717434880. Its totient is φ = 29520691200.

The previous prime is 113991710143. The next prime is 113991710249. The reversal of 113991710160 is 61017199311.

113991710160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107280 + ... + 1205840.

It is an arithmetic number, because the mean of its divisors is an integer number (2273233968).

Almost surely, 2113991710160 is an apocalyptic number.

113991710160 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 113991710160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181858717440).

113991710160 is an abundant number, since it is smaller than the sum of its proper divisors (249725724720).

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

113991710160 is a wasteful number, since it uses less digits than its factorization.

113991710160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98717 (or 98711 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 39.

The spelling of 113991710160 in words is "one hundred thirteen billion, nine hundred ninety-one million, seven hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 79 80 120 122 158 183 237 240 244 305 316 366 395 474 488 610 632 732 790 915 948 976 1185 1220 1264 1464 1580 1830 1896 2370 2440 2928 3160 3660 3792 4740 4819 4880 6320 7320 9480 9638 14457 14640 18960 19276 24095 28914 38552 48190 57828 72285 77104 96380 98561 115656 144570 192760 197122 231312 289140 295683 385520 394244 492805 578280 591366 788488 985610 1156560 1182732 1478415 1576976 1971220 2365464 2956830 3942440 4730928 5913660 6012221 7786319 7884880 11827320 12024442 15572638 18036663 23358957 23654640 24048884 30061105 31145276 36073326 38931595 46717914 48097768 60122210 62290552 72146652 77863190 90183315 93435828 96195536 116794785 120244420 124581104 144293304 155726380 180366630 186871656 233589570 240488840 288586608 311452760 360733260 373743312 467179140 474965459 480977680 622905520 721466520 934358280 949930918 1424896377 1442933040 1868716560 1899861836 2374827295 2849792754 3799723672 4749654590 5699585508 7124481885 7599447344 9499309180 11399171016 14248963770 18998618360 22798342032 28497927540 37997236720 56995855080 113991710160