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31240252120 = 23571119751487
BaseRepresentation
bin11101000110000100…
…000110101011011000
32222122012001020102211
4131012010012223120
51002440001031440
622203535004504
72154106522150
oct350604065330
988565036384
1031240252120
1112281342890
12607a369734
132c3b310aac
141725055760
15c2c965eea
hex746106ad8

31240252120 has 128 divisors (see below), whose sum is σ = 88081551360. Its totient is φ = 9687605760.

The previous prime is 31240252103. The next prime is 31240252133. The reversal of 31240252120 is 2125204213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31240252091 and 31240252100.

It is a congruent number.

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, 581017 + ... + 632503.

It is an arithmetic number, because the mean of its divisors is an integer number (688137120).

Almost surely, 231240252120 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 31240252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44040775680).

31240252120 is an abundant number, since it is smaller than the sum of its proper divisors (56841299240).

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

31240252120 is a wasteful number, since it uses less digits than its factorization.

31240252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51713 (or 51709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 31240252120 its reverse (2125204213), we get a palindrome (33365456333).

The spelling of 31240252120 in words is "thirty-one billion, two hundred forty million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 197 220 280 308 385 394 440 616 770 788 985 1379 1540 1576 1970 2167 2758 3080 3940 4334 5516 6895 7880 8668 10835 11032 13790 15169 17336 21670 27580 30338 43340 51487 55160 60676 75845 86680 102974 121352 151690 205948 257435 303380 360409 411896 514870 566357 606760 720818 1029740 1132714 1441636 1802045 2059480 2265428 2831785 2883272 3604090 3964499 4530856 5663570 7208180 7928998 10142939 11327140 14416360 15857996 19822495 20285878 22654280 31715992 39644990 40571756 50714695 71000573 79289980 81143512 101429390 111572329 142001146 158579960 202858780 223144658 284002292 355002865 405717560 446289316 557861645 568004584 710005730 781006303 892578632 1115723290 1420011460 1562012606 2231446580 2840022920 3124025212 3905031515 4462893160 6248050424 7810063030 15620126060 31240252120