Search a number
-
+
113454331320 = 233511179480169
BaseRepresentation
bin110100110101001100…
…1111011010110111000
3101211211211100012010010
41221222121323112320
53324323302100240
6124041544021520
711124334622151
oct1515231732670
9354754305103
10113454331320
1144130015390
1219ba37618a0
13a911066735
1456c3c94928
152e404d3280
hex1a6a67b5b8

113454331320 has 128 divisors (see below), whose sum is σ = 373380192000. Its totient is φ = 27350369280.

The previous prime is 113454331313. The next prime is 113454331337. The reversal of 113454331320 is 23133454311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3805 + ... + 476364.

It is an arithmetic number, because the mean of its divisors is an integer number (2917032750).

Almost surely, 2113454331320 is an apocalyptic number.

113454331320 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 113454331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186690096000).

113454331320 is an abundant number, since it is smaller than the sum of its proper divisors (259925860680).

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

113454331320 is a wasteful number, since it uses less digits than its factorization.

113454331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480373 (or 480369 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 113454331320 its reverse (23133454311), we get a palindrome (136587785631).

The spelling of 113454331320 in words is "one hundred thirteen billion, four hundred fifty-four million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 179 220 264 330 358 440 537 660 716 895 1074 1320 1432 1790 1969 2148 2685 3580 3938 4296 5370 5907 7160 7876 9845 10740 11814 15752 19690 21480 23628 29535 39380 47256 59070 78760 118140 236280 480169 960338 1440507 1920676 2400845 2881014 3841352 4801690 5281859 5762028 7202535 9603380 10563718 11524056 14405070 15845577 19206760 21127436 26409295 28810140 31691154 42254872 52818590 57620280 63382308 79227885 85950251 105637180 126764616 158455770 171900502 211274360 257850753 316911540 343801004 429751255 515701506 633823080 687602008 859502510 945452761 1031403012 1289253765 1719005020 1890905522 2062806024 2578507530 2836358283 3438010040 3781811044 4727263805 5157015060 5672716566 7563622088 9454527610 10314030120 11345433132 14181791415 18909055220 22690866264 28363582830 37818110440 56727165660 113454331320