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3131011312 = 24111317101797
BaseRepresentation
bin1011101010011111…
…0111000011110000
322002012112212001221
42322213313003300
522403014330222
61234404234424
7140406104602
oct27247670360
98065485057
103131011312
111367413160
1273469ba14
133ab895420
14219b8b172
15134d220c7
hexba9f70f0

3131011312 has 160 divisors (see below), whose sum is σ = 7630386624. Its totient is φ = 1222656000.

The previous prime is 3131011277. The next prime is 3131011313. The reversal of 3131011312 is 2131101313.

It is a super-2 number, since 2×31310113122 = 19606463671743922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131011313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3928098 + ... + 3928894.

Almost surely, 23131011312 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 3131011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815193312).

3131011312 is an abundant number, since it is smaller than the sum of its proper divisors (4499375312).

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

3131011312 is a wasteful number, since it uses less digits than its factorization.

3131011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 3131011312 is about 55955.4404146728. The cubic root of 3131011312 is about 1462.9457184046.

Adding to 3131011312 its reverse (2131101313), we get a palindrome (5262112625).

Subtracting from 3131011312 its reverse (2131101313), we obtain a palindrome (999909999).

It can be divided in two parts, 313101 and 1312, that added together give a palindrome (314413).

The spelling of 3131011312 in words is "three billion, one hundred thirty-one million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 101 104 136 143 176 187 202 208 221 272 286 374 404 442 572 748 797 808 884 1111 1144 1313 1496 1594 1616 1717 1768 2222 2288 2431 2626 2992 3188 3434 3536 4444 4862 5252 6376 6868 8767 8888 9724 10361 10504 12752 13549 13736 14443 17534 17776 18887 19448 20722 21008 22321 27098 27472 28886 35068 37774 38896 41444 44642 54196 57772 70136 75548 80497 82888 89284 108392 113971 115544 140272 149039 151096 160994 165776 176137 178568 216784 227942 231088 245531 298078 302192 321988 352274 357136 455884 491062 596156 643976 704548 885467 911768 982124 1046461 1192312 1287952 1368449 1409096 1770934 1823536 1937507 1964248 2092922 2384624 2736898 2818192 3541868 3875014 3928496 4185844 5473796 7083736 7750028 8371688 10947592 11511071 14167472 15052939 15500056 16743376 17789837 21895184 23022142 30105878 31000112 35579674 46044284 60211756 71159348 92088568 120423512 142318696 184177136 195688207 240847024 284637392 391376414 782752828 1565505656 3131011312