Search a number
-
+
31331312013102 = 2373109838978229
BaseRepresentation
bin1110001111110111000111…
…01110010000111100101110
311002221020121000010021201020
413013323203232100330232
513101313011333404402
6150345223411555010
76412420055652543
oct707734356207456
9132836530107636
1031331312013102
119a8a59790a122
123620274bbba66
1314636b768169a
147a462d30abca
15394eecadc8bc
hex1c7ee3b90f2e

31331312013102 has 64 divisors (see below), whose sum is σ = 64112238696000. Its totient is φ = 10204856368128.

The previous prime is 31331312013101. The next prime is 31331312013181. The reversal of 31331312013102 is 20131021313313.

It is a super-2 number, since 2×313313120131022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331312013101) 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, 400468524 + ... + 400546752.

It is an arithmetic number, because the mean of its divisors is an integer number (1001753729625).

Almost surely, 231331312013102 is an apocalyptic number.

31331312013102 is an abundant number, since it is smaller than the sum of its proper divisors (32780926682898).

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

31331312013102 is a wasteful number, since it uses less digits than its factorization.

31331312013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86805.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31331312013102 its reverse (20131021313313), we get a palindrome (51462333326415).

The spelling of 31331312013102 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred twelve million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 73 109 146 218 219 327 438 654 7957 8389 15914 16778 23871 25167 47742 50334 78229 156458 234687 469374 612397 914401 1224794 1828802 1837191 2743203 3674382 5486406 5710717 8526961 11421434 17053922 17132151 25580883 34264302 51161766 66751273 133502546 200253819 400507638 622468153 656263081 1244936306 1312526162 1867404459 1968789243 3734808918 3937578486 47907204913 71532675829 95814409826 143065351658 143721614739 214598027487 287443229478 429196054974 5221885335517 10443770671034 15665656006551 31331312013102