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232113033120 = 25352511926569
BaseRepresentation
bin1101100000101100000…
…0111100111110100000
3211012010100121210101110
43120023000330332200
512300331414024440
6254344203503320
722524656141163
oct3301300747640
9735110553343
10232113033120
118a4908352a1
1238b9a227b40
1318b713b6417
14b33d009ada
15608783c080
hex360b03cfa0

232113033120 has 96 divisors (see below), whose sum is σ = 734069407680. Its totient is φ = 61650176000.

The previous prime is 232113033077. The next prime is 232113033137. The reversal of 232113033120 is 21330311232.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842805 + ... + 1083764.

It is an arithmetic number, because the mean of its divisors is an integer number (7646556330).

Almost surely, 2232113033120 is an apocalyptic number.

232113033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232113033120 is an abundant number, since it is smaller than the sum of its proper divisors (501956374560).

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

232113033120 is a wasteful number, since it uses less digits than its factorization.

232113033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926838 (or 1926830 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 232113033120 its reverse (21330311232), we get a palindrome (253443344352).

The spelling of 232113033120 in words is "two hundred thirty-two billion, one hundred thirteen million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 40160 60240 120480 1926569 3853138 5779707 7706276 9632845 11559414 15412552 19265690 23118828 28898535 30825104 38531380 46237656 57797070 61650208 77062760 92475312 115594140 154125520 184950624 231188280 308251040 462376560 483568819 924753120 967137638 1450706457 1934275276 2417844095 2901412914 3868550552 4835688190 5802825828 7253532285 7737101104 9671376380 11605651656 14507064570 15474202208 19342752760 23211303312 29014129140 38685505520 46422606624 58028258280 77371011040 116056516560 232113033120