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232113100000 = 25552980039
BaseRepresentation
bin1101100000101100000…
…1001101010011100000
3211012010100202012010111
43120023001031103200
512300331423200000
6254344205141104
722524656540155
oct3301301152340
9735110665114
10232113100000
118a490880571
1238b9a25a794
1318b7140a9b2
14b33d02622c
156087851cba
hex360b04d4e0

232113100000 has 144 divisors (see below), whose sum is σ = 590882493600. Its totient is φ = 89642560000.

The previous prime is 232113099989. The next prime is 232113100057. The reversal of 232113100000 is 1311232.

It is a super-2 number, since 2×2321131000002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859981 + ... + 2940019.

It is an arithmetic number, because the mean of its divisors is an integer number (4103350650).

Almost surely, 2232113100000 is an apocalyptic number.

232113100000 is a gapful number since it is divisible by the number (20) 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 232113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295441246800).

232113100000 is an abundant number, since it is smaller than the sum of its proper divisors (358769393600).

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

232113100000 is an frugal number, since it uses more digits than its factorization.

232113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80103 (or 80075 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 232113100000 its reverse (1311232), we get a palindrome (232114411232).

The spelling of 232113100000 in words is "two hundred thirty-two billion, one hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 72500 80039 90625 100000 116000 145000 160078 181250 290000 320156 362500 400195 580000 640312 725000 800390 1280624 1450000 1600780 2000975 2321131 2561248 2900000 3201560 4001950 4642262 6403120 8003900 9284524 10004875 11605655 12806240 16007800 18569048 20009750 23211310 32015600 37138096 40019500 46422620 50024375 58028275 64031200 74276192 80039000 92845240 100048750 116056550 160078000 185690480 200097500 232113100 250121875 290141375 320156000 371380960 400195000 464226200 500243750 580282750 800390000 928452400 1000487500 1160565500 1450706875 1600780000 1856904800 2000975000 2321131000 2901413750 4001950000 4642262000 5802827500 7253534375 8003900000 9284524000 11605655000 14507068750 23211310000 29014137500 46422620000 58028275000 116056550000 232113100000