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3131106472 = 2313238291579
BaseRepresentation
bin1011101010100000…
…1110010010101000
322002012201200121101
42322220032102220
522403030401342
61234410251144
7140406652204
oct27250162250
98065650541
103131106472
1113674786aa
12734726ab4
133ab8c9830
14219bb3b04
15134d403b7
hexbaa0e4a8

3131106472 has 64 divisors (see below), whose sum is σ = 6609456000. Its totient is φ = 1379752704.

The previous prime is 3131106467. The next prime is 3131106499. The reversal of 3131106472 is 2746011313.

It is a self number, because there is not a number n which added to its sum of digits gives 3131106472.

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, 1982179 + ... + 1983757.

It is an arithmetic number, because the mean of its divisors is an integer number (103272750).

Almost surely, 23131106472 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 3131106472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304728000).

3131106472 is an abundant number, since it is smaller than the sum of its proper divisors (3478349528).

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

3131106472 is a wasteful number, since it uses less digits than its factorization.

3131106472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3131106472 is about 55956.2907276742. The cubic root of 3131106472 is about 1462.9605392288.

Adding to 3131106472 its reverse (2746011313), we get a palindrome (5877117785).

The spelling of 3131106472 in words is "three billion, one hundred thirty-one million, one hundred six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 829 1196 1579 1658 2392 3158 3316 6316 6632 10777 12632 19067 20527 21554 36317 38134 41054 43108 72634 76268 82108 86216 145268 152536 164216 247871 290536 472121 495742 944242 991484 1308991 1888484 1982968 2617982 3776968 5235964 10471928 17016883 30106793 34033766 60213586 68067532 120427172 136135064 240854344 391388309 782776618 1565553236 3131106472