Search a number
-
+
133011132331220 = 2251113461100883707
BaseRepresentation
bin11110001111100100010001…
…010010110011010011010100
3122102221201222111201120202122
4132033210101102303103110
5114413223244334044340
61150520245353555112
740005510566211653
oct3617442122632324
9572851874646678
10133011132331220
1139421782676140
1212b02547115a98
13592ab85563310
1424bbab777119a
151059dd12badb5
hex78f9114b34d4

133011132331220 has 96 divisors (see below), whose sum is σ = 328867974965376. Its totient is φ = 44550244569600.

The previous prime is 133011132331183. The next prime is 133011132331289. The reversal of 133011132331220 is 22133231110331.

It is a super-2 number, since 2×1330111323312202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 133011132331220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49123394 + ... + 51760313.

It is an arithmetic number, because the mean of its divisors is an integer number (3425708072556).

Almost surely, 2133011132331220 is an apocalyptic number.

133011132331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011132331220 is an abundant number, since it is smaller than the sum of its proper divisors (195856842634156).

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

133011132331220 is a wasteful number, since it uses less digits than its factorization.

133011132331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100884201 (or 100884199 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133011132331220 its reverse (22133231110331), we get a palindrome (155144363441551).

It can be divided in two parts, 133011 and 132331220, that added together give a palindrome (132464231).

The spelling of 133011132331220 in words is "one hundred thirty-three trillion, eleven billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 461 572 715 922 1430 1844 2305 2860 4610 5071 5993 9220 10142 11986 20284 23972 25355 29965 50710 59930 65923 101420 119860 131846 263692 329615 659230 1318460 100883707 201767414 403534828 504418535 1008837070 1109720777 1311488191 2017674140 2219441554 2622976382 4438883108 5245952764 5548603885 6557440955 11097207770 13114881910 14426370101 22194415540 26229763820 28852740202 46507388927 57705480404 72131850505 93014777854 144263701010 186029555708 232536944635 288527402020 465073889270 511581278197 604596056051 930147778540 1023162556394 1209192112102 2046325112788 2418384224204 2557906390985 3022980280255 5115812781970 6045960560510 6650556616561 10231625563940 12091921121020 13301113233122 26602226466244 33252783082805 66505566165610 133011132331220