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31313120 = 2552367127
BaseRepresentation
bin111011101110…
…0110011100000
32011220212112012
41313130303200
531004004440
63035052052
7530104616
oct167346340
964825465
1031313120
1116748013
12a5a1028
136644897
1442316b6
152b37e65
hex1ddcce0

31313120 has 96 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 11708928.

The previous prime is 31313119. The next prime is 31313123. The reversal of 31313120 is 2131313.

It is a super-2 number, since 2×313131202 = 1961022968268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31313095 and 31313104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246497 + ... + 246623.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 231313120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

31313120 is an abundant number, since it is smaller than the sum of its proper divisors (47649568).

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

31313120 is a wasteful number, since it uses less digits than its factorization.

31313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 31313120 is about 5595.8127202400. The cubic root of 31313120 is about 315.1921897624.

Adding to 31313120 its reverse (2131313), we get a palindrome (33444433).

The spelling of 31313120 in words is "thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 67 80 92 115 127 134 160 184 230 254 268 335 368 460 508 536 635 670 736 920 1016 1072 1270 1340 1541 1840 2032 2144 2540 2680 2921 3082 3680 4064 5080 5360 5842 6164 7705 8509 10160 10720 11684 12328 14605 15410 17018 20320 23368 24656 29210 30820 34036 42545 46736 49312 58420 61640 68072 85090 93472 116840 123280 136144 170180 195707 233680 246560 272288 340360 391414 467360 680720 782828 978535 1361440 1565656 1957070 3131312 3914140 6262624 7828280 15656560 31313120