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13311131010 = 2355923093257
BaseRepresentation
bin11000110010110011…
…11011110110000010
31021100200020111222020
430121121323312002
5204230122143020
610040503422310
7650601514062
oct143131736602
937320214866
1013311131010
115710871821
1226b5a54996
1313419990a8
14903bd93a2
1552d90dc40
hex31967bd82

13311131010 has 64 divisors (see below), whose sum is σ = 32512233600. Its totient is φ = 3486889472.

The previous prime is 13311130961. The next prime is 13311131023. The reversal of 13311131010 is 1013111331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085302 + ... + 4088558.

It is an arithmetic number, because the mean of its divisors is an integer number (508003650).

Almost surely, 213311131010 is an apocalyptic number.

13311131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256116800).

13311131010 is an abundant number, since it is smaller than the sum of its proper divisors (19201102590).

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

13311131010 is a wasteful number, since it uses less digits than its factorization.

13311131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13311131010 its reverse (1013111331), we get a palindrome (14324242341).

The spelling of 13311131010 in words is "thirteen billion, three hundred eleven million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 2309 3257 4618 6514 6927 9771 11545 13854 16285 19542 23090 32570 34635 48855 69270 97710 136231 192163 272462 384326 408693 576489 681155 817386 960815 1152978 1362310 1921630 2043465 2882445 4086930 5764890 7520413 15040826 22561239 37602065 45122478 75204130 112806195 225612390 443704367 887408734 1331113101 2218521835 2662226202 4437043670 6655565505 13311131010