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313024134120 = 233517473264749
BaseRepresentation
bin1001000111000011011…
…00010011101111101000
31002220222012010120222220
410203201230103233220
520112033134242440
6355445025314040
731421013145005
oct4434154235750
91086865116886
10313024134120
11110830a66005
12507bb195920
1323697200649
1411216b908ac
158220ccb8d0
hex48e1b13be8

313024134120 has 128 divisors (see below), whose sum is σ = 1015467840000. Its totient is φ = 76891344896.

The previous prime is 313024134077. The next prime is 313024134127. The reversal of 313024134120 is 21431420313.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (313024134127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536495 + ... + 1728254.

It is an arithmetic number, because the mean of its divisors is an integer number (7933342500).

Almost surely, 2313024134120 is an apocalyptic number.

313024134120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313024134120 is an abundant number, since it is smaller than the sum of its proper divisors (702443705880).

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

313024134120 is a wasteful number, since it uses less digits than its factorization.

313024134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264827 (or 3264823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313024134120 its reverse (21431420313), we get a palindrome (334455554433).

The spelling of 313024134120 in words is "three hundred thirteen billion, twenty-four million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 705 799 940 1020 1128 1410 1598 1880 2040 2397 2820 3196 3995 4794 5640 6392 7990 9588 11985 15980 19176 23970 31960 47940 95880 3264749 6529498 9794247 13058996 16323745 19588494 26117992 32647490 39176988 48971235 55500733 65294980 78353976 97942470 111001466 130589960 153443203 166502199 195884940 222002932 277503665 306886406 333004398 391769880 444005864 460329609 555007330 613772812 666008796 767216015 832510995 920659218 1110014660 1227545624 1332017592 1534432030 1665021990 1841318436 2220029320 2301648045 2608534451 3068864060 3330043980 3682636872 4603296090 5217068902 6137728120 6660087960 7825603353 9206592180 10434137804 13042672255 15651206706 18413184360 20868275608 26085344510 31302413412 39128016765 52170689020 62604826824 78256033530 104341378040 156512067060 313024134120