Search a number
-
+
31024606120 = 235899978741
BaseRepresentation
bin11100111001001101…
…011110101110101000
32222002011021021201221
4130321031132232220
51002014244343440
622130312551424
72145550541464
oct347115365650
988064237657
1031024606120
1112180643852
12601a0b2574
132c05739101
14170455d4a4
15c18a6ad4a
hex73935eba8

31024606120 has 64 divisors (see below), whose sum is σ = 70668579600. Its totient is φ = 12256696320.

The previous prime is 31024606103. The next prime is 31024606121. The reversal of 31024606120 is 2160642013.

It can be written as a sum of positive squares in 8 ways, for example, as 9274845636 + 21749760484 = 96306^2 + 147478^2 .

It is a super-2 number, since 2×310246061202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31024606121) 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, 3544950 + ... + 3553690.

Almost surely, 231024606120 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 31024606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35334289800).

31024606120 is an abundant number, since it is smaller than the sum of its proper divisors (39643973480).

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

31024606120 is a wasteful number, since it uses less digits than its factorization.

31024606120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 31024606120 in words is "thirty-one billion, twenty-four million, six hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 997 1780 1994 3560 3988 4985 7976 8741 9970 17482 19940 34964 39880 43705 69928 87410 88733 174820 177466 349640 354932 443665 709864 777949 887330 1555898 1774660 3111796 3549320 3889745 6223592 7779490 8714777 15558980 17429554 31117960 34859108 43573885 69718216 87147770 174295540 348591080 775615153 1551230306 3102460612 3878075765 6204921224 7756151530 15512303060 31024606120