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3131101320 = 2335233730661
BaseRepresentation
bin1011101010100000…
…1101000010001000
322002012201102112120
42322220031002020
522403030220240
61234410211240
7140406631164
oct27250150210
98065642476
103131101320
111367474846
12734723b20
133ab8c7399
14219bb1ca4
15134d3dad0
hexbaa0d088

3131101320 has 128 divisors (see below), whose sum is σ = 10066947840. Its totient is φ = 777047040.

The previous prime is 3131101271. The next prime is 3131101381. The reversal of 3131101320 is 231011313.

It is a super-2 number, since 2×31311013202 = 19607590952211484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3131101320.

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, 86790 + ... + 117450.

It is an arithmetic number, because the mean of its divisors is an integer number (78648030).

Almost surely, 23131101320 is an apocalyptic number.

3131101320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033473920).

3131101320 is an abundant number, since it is smaller than the sum of its proper divisors (6935846520).

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

3131101320 is a wasteful number, since it uses less digits than its factorization.

3131101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30735 (or 30731 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3131101320 is about 55956.2446917232. The cubic root of 3131101320 is about 1462.9597368312.

Adding to 3131101320 its reverse (231011313), we get a palindrome (3362112633).

The spelling of 3131101320 in words is "three billion, one hundred thirty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 30661 34040 51060 61322 91983 102120 122644 153305 183966 245288 306610 367932 459915 613220 705203 735864 919830 1134457 1226440 1410406 1839660 2115609 2268914 2820812 3403371 3526015 3679320 4231218 4537828 5641624 5672285 6806742 7052030 8462436 9075656 10578045 11344570 13613484 14104060 16924872 17016855 21156090 22689140 26092511 27226968 28208120 34033710 42312180 45378280 52185022 68067420 78277533 84624360 104370044 130462555 136134840 156555066 208740088 260925110 313110132 391387665 521850220 626220264 782775330 1043700440 1565550660 3131101320