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3131213120 = 26571817723
BaseRepresentation
bin1011101010100010…
…1000010101000000
322002012221002220022
42322220220111000
522403042304440
61234412433012
7140410605140
oct27250502500
98065832808
103131213120
111367540842
12734778768
133ab936239
14219c00920
15134d61cb5
hexbaa28540

3131213120 has 112 divisors (see below), whose sum is σ = 8569561728. Its totient is φ = 1067489280.

The previous prime is 3131213117. The next prime is 3131213147. The reversal of 3131213120 is 213121313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401579 + ... + 409301.

It is an arithmetic number, because the mean of its divisors is an integer number (76513944).

Almost surely, 23131213120 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 3131213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284780864).

3131213120 is an abundant number, since it is smaller than the sum of its proper divisors (5438348608).

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

3131213120 is a wasteful number, since it uses less digits than its factorization.

3131213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3131213120 is about 55957.2436776509. The cubic root of 3131213120 is about 1462.9771489103.

Adding to 3131213120 its reverse (213121313), we get a palindrome (3344334433).

The spelling of 3131213120 in words is "three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 181 224 280 320 362 448 560 724 905 1120 1267 1448 1810 2240 2534 2896 3620 5068 5792 6335 7240 7723 10136 11584 12670 14480 15446 20272 25340 28960 30892 38615 40544 50680 54061 57920 61784 77230 81088 101360 108122 123568 154460 202720 216244 247136 270305 308920 405440 432488 494272 540610 617840 864976 1081220 1235680 1397863 1729952 2162440 2471360 2795726 3459904 4324880 5591452 6989315 8649760 9785041 11182904 13978630 17299520 19570082 22365808 27957260 39140164 44731616 48925205 55914520 78280328 89463232 97850410 111829040 156560656 195700820 223658080 313121312 391401640 447316160 626242624 782803280 1565606560 3131213120