Search a number
-
+
3131102672 = 243161239433
BaseRepresentation
bin1011101010100000…
…1101010111010000
322002012201111101122
42322220031113100
522403030241142
61234410221412
7140406635135
oct27250152720
98065644348
103131102672
111367475865
12734724868
133ab8c7b99
14219bb258c
15134d3e1d2
hexbaa0d5d0

3131102672 has 80 divisors (see below), whose sum is σ = 6406256640. Its totient is φ = 1480550400.

The previous prime is 3131102651. The next prime is 3131102693. The reversal of 3131102672 is 2762011313.

It is an interprime number because it is at equal distance from previous prime (3131102651) and next prime (3131102693).

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, 7230968 + ... + 7231400.

It is an arithmetic number, because the mean of its divisors is an integer number (80078208).

Almost surely, 23131102672 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 3131102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203128320).

3131102672 is an abundant number, since it is smaller than the sum of its proper divisors (3275153968).

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

3131102672 is a wasteful number, since it uses less digits than its factorization.

3131102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3131102672 is about 55956.2567725898. The cubic root of 3131102672 is about 1462.9599473984.

Adding to 3131102672 its reverse (2762011313), we get a palindrome (5893113985).

The spelling of 3131102672 in words is "three billion, one hundred thirty-one million, one hundred two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 61 62 122 124 239 244 248 433 478 488 496 866 956 976 1732 1891 1912 3464 3782 3824 6928 7409 7564 13423 14579 14818 15128 26413 26846 29158 29636 30256 52826 53692 58316 59272 103487 105652 107384 116632 118544 206974 211304 214768 233264 413948 422608 451949 818803 827896 903898 1637606 1655792 1807796 3208097 3275212 3615592 6312707 6416194 6550424 7231184 12625414 12832388 13100848 25250828 25664776 50501656 51329552 101003312 195693917 391387834 782775668 1565551336 3131102672