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120331332323232 = 25329431100284133
BaseRepresentation
bin11011010111000011010010…
…010100011000011110100000
3120210001120012102222222221120
4123113003102110120132200
5111233002032033320412
61103531241222252240
734226436406361622
oct3327032224303640
9523046172888846
10120331332323232
1135383260079718
12115b5027887080
13521b271664bc4
1421a00d3552c12
15dda1628b5b8c
hex6d70d25187a0

120331332323232 has 96 divisors (see below), whose sum is σ = 327519958913280. Its totient is φ = 38637470376960.

The previous prime is 120331332323221. The next prime is 120331332323243. The reversal of 120331332323232 is 232323233133021.

It is an interprime number because it is at equal distance from previous prime (120331332323221) and next prime (120331332323243).

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

It is a junction number, because it is equal to n+sod(n) for n = 120331332323193 and 120331332323202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48942163 + ... + 51341970.

It is an arithmetic number, because the mean of its divisors is an integer number (3411666238680).

Almost surely, 2120331332323232 is an apocalyptic number.

120331332323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120331332323232 is an abundant number, since it is smaller than the sum of its proper divisors (207188626590048).

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

120331332323232 is a wasteful number, since it uses less digits than its factorization.

120331332323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100284606 (or 100284598 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 120331332323232 its reverse (232323233133021), we get a palindrome (352654565456253).

The spelling of 120331332323232 in words is "one hundred twenty trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 431 464 696 862 928 1293 1392 1724 2586 2784 3448 5172 6896 10344 12499 13792 20688 24998 37497 41376 49996 74994 99992 149988 199984 299976 399968 599952 1199904 100284133 200568266 300852399 401136532 601704798 802273064 1203409596 1604546128 2406819192 2908239857 3209092256 4813638384 5816479714 8724719571 9627276768 11632959428 17449439142 23265918856 34898878284 43222461323 46531837712 69797756568 86444922646 93063675424 129667383969 139595513136 172889845292 259334767938 279191026272 345779690584 518669535876 691559381168 1037339071752 1253451378367 1383118762336 2074678143504 2506902756734 3760354135101 4149356287008 5013805513468 7520708270202 10027611026936 15041416540404 20055222053872 30082833080808 40110444107744 60165666161616 120331332323232