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113331433000 = 2353233503967
BaseRepresentation
bin110100110001100010…
…1000110111000101000
3101211112021002022022111
41221203011012320220
53324100321324000
6124021433532104
711121313200052
oct1514305067050
9354467068274
10113331433000
1144077704025
1219b6a574034
13a8c1766536
1456b18228d2
152e34808cba
hex1a63146e28

113331433000 has 128 divisors (see below), whose sum is σ = 267139192320. Its totient is φ = 45001689600.

The previous prime is 113331432989. The next prime is 113331433009. The reversal of 113331433000 is 334133311.

It is not an unprimeable number, because it can be changed into a prime (113331433009) 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, 117198517 + ... + 117199483.

It is an arithmetic number, because the mean of its divisors is an integer number (2087024940).

Almost surely, 2113331433000 is an apocalyptic number.

113331433000 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 113331433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133569596160).

113331433000 is an abundant number, since it is smaller than the sum of its proper divisors (153807759320).

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

113331433000 is a wasteful number, since it uses less digits than its factorization.

113331433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 113331433000 its reverse (334133311), we get a palindrome (113665566311).

The spelling of 113331433000 in words is "one hundred thirteen billion, three hundred thirty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 503 932 967 1000 1006 1165 1864 1934 2012 2330 2515 3868 4024 4660 4835 5030 5825 7736 9320 9670 10060 11650 12575 19340 20120 23300 24175 25150 29125 38680 46600 48350 50300 58250 62875 96700 100600 116500 117199 120875 125750 193400 225311 233000 234398 241750 251500 450622 468796 483500 486401 503000 585995 901244 937592 967000 972802 1126555 1171990 1802488 1945604 2253110 2343980 2432005 2929975 3891208 4506220 4687960 4864010 5632775 5859950 9012440 9728020 11265550 11719900 12160025 14649875 19456040 22531100 23439800 24320050 28163875 29299750 45062200 48640100 56327750 58599500 60800125 97280200 112655500 113331433 117199000 121600250 225311000 226662866 243200500 453325732 486401000 566657165 906651464 1133314330 2266628660 2833285825 4533257320 5666571650 11333143300 14166429125 22666286600 28332858250 56665716500 113331433000