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31305342120 = 23351370128627
BaseRepresentation
bin11101001001111100…
…011001110010101000
32222210201112011010120
4131021330121302220
51003103131421440
622214222043240
72155530006003
oct351174316250
988721464116
1031305342120
111230505a978
126098119520
132c4b9507a0
14172d95a53a
15c33521dd0
hex749f19ca8

31305342120 has 128 divisors (see below), whose sum is σ = 101288154240. Its totient is φ = 7694668800.

The previous prime is 31305342091. The next prime is 31305342161. The reversal of 31305342120 is 2124350313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1079247 + ... + 1107873.

It is an arithmetic number, because the mean of its divisors is an integer number (791313705).

Almost surely, 231305342120 is an apocalyptic number.

31305342120 is a gapful number since it is divisible by the number (30) 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 31305342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50644077120).

31305342120 is an abundant number, since it is smaller than the sum of its proper divisors (69982812120).

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

31305342120 is a wasteful number, since it uses less digits than its factorization.

31305342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29355 (or 29351 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 31305342120 its reverse (2124350313), we get a palindrome (33429692433).

The spelling of 31305342120 in words is "thirty-one billion, three hundred five million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 701 780 1402 1560 2103 2804 3505 4206 5608 7010 8412 9113 10515 14020 16824 18226 21030 27339 28040 28627 36452 42060 45565 54678 57254 72904 84120 85881 91130 109356 114508 136695 143135 171762 182260 218712 229016 273390 286270 343524 364520 372151 429405 546780 572540 687048 744302 858810 1093560 1116453 1145080 1488604 1717620 1860755 2232906 2977208 3435240 3721510 4465812 5582265 7443020 8931624 11164530 14886040 20067527 22329060 40135054 44658120 60202581 80270108 100337635 120405162 160540216 200675270 240810324 260877851 301012905 401350540 481620648 521755702 602025810 782633553 802701080 1043511404 1204051620 1304389255 1565267106 2087022808 2408103240 2608778510 3130534212 3913167765 5217557020 6261068424 7826335530 10435114040 15652671060 31305342120