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3113131014 = 2327267139379
BaseRepresentation
bin1011100110001110…
…1001110000000110
322000221220102220200
42321203221300012
522333430143024
61232525111330
7140101114500
oct27143516006
98027812820
103113131014
111358310454
1272a6b8546
133a7c74a76
14217654d70
1513348e2c9
hexb98e9c06

3113131014 has 144 divisors (see below), whose sum is σ = 8041924800. Its totient is φ = 867591648.

The previous prime is 3113130989. The next prime is 3113131027. The reversal of 3113131014 is 4101313113.

3113131014 is a `hidden beast` number, since 311 + 31 + 310 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8213877 + ... + 8214255.

It is an arithmetic number, because the mean of its divisors is an integer number (55846700).

Almost surely, 23113131014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113131014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020962400).

3113131014 is an abundant number, since it is smaller than the sum of its proper divisors (4928793786).

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

3113131014 is a wasteful number, since it uses less digits than its factorization.

3113131014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3113131014 is about 55795.4390071447. The cubic root of 3113131014 is about 1460.1555807807.

Adding to 3113131014 its reverse (4101313113), we get a palindrome (7214444127).

The spelling of 3113131014 in words is "three billion, one hundred thirteen million, one hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 139 147 201 278 294 379 402 417 441 469 603 758 834 882 938 973 1137 1206 1251 1407 1946 2274 2502 2653 2814 2919 3283 3411 4221 5306 5838 6566 6811 6822 7959 8442 8757 9313 9849 13622 15918 17514 18571 18626 19698 20433 23877 25393 27939 29547 37142 40866 47754 50786 52681 55713 55878 59094 61299 65191 76179 83817 105362 111426 122598 130382 152358 158043 167139 167634 177751 195573 228537 316086 334278 355502 368767 391146 456337 457074 474129 533253 586719 737534 912674 948258 1066506 1106301 1173438 1244257 1369011 1599759 2212602 2488514 2581369 2738022 3199518 3318903 3529627 3732771 4107033 5162738 6637806 7059254 7465542 7744107 8214066 10588881 11198313 15488214 21177762 22396626 23232321 24707389 31766643 46464642 49414778 63533286 74122167 148244334 172951723 222366501 345903446 444733002 518855169 1037710338 1556565507 3113131014