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132223111310420 = 2251323148243149153
BaseRepresentation
bin11110000100000110010111…
…100101001010110001010100
3122100011101221222011001000022
4132010012113211022301110
5114312320412443413140
61145114243032404312
736564542650103354
oct3604062745126124
9570141858131008
10132223111310420
1139148563315859
12129b5884546698
1358a178029b520
1424918c0314b64
15104465e9960b5
hex78419794ac54

132223111310420 has 96 divisors (see below), whose sum is σ = 312033050848512. Its totient is φ = 46697567735808.

The previous prime is 132223111310417. The next prime is 132223111310431. The reversal of 132223111310420 is 24013111322231.

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 132223111310420.

It is a congruent number.

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, 886418564 + ... + 886567716.

It is an arithmetic number, because the mean of its divisors is an integer number (3250344279672).

Almost surely, 2132223111310420 is an apocalyptic number.

132223111310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223111310420 is an abundant number, since it is smaller than the sum of its proper divisors (179809939538092).

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

132223111310420 is a wasteful number, since it uses less digits than its factorization.

132223111310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297441 (or 297439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 132223111310420 its reverse (24013111322231), we get a palindrome (156236222632651).

The spelling of 132223111310420 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred eleven million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 148243 149153 296486 298306 592972 596612 741215 745765 1482430 1491530 1927159 1938989 2964860 2983060 3409589 3430519 3854318 3877978 6819178 6861038 7708636 7755956 9635795 9694945 13638356 13722076 17047945 17152595 19271590 19389890 34095890 34305190 38543180 38779780 44324657 44596747 68191780 68610380 88649314 89193494 177298628 178386988 221623285 222983735 443246570 445967470 886493140 891934940 22110888179 44221776358 88443552716 110554440895 221108881790 287441546327 442217763580 508550428117 574883092654 1017100856234 1149766185308 1437207731635 2034201712468 2542752140585 2874415463270 5085504281170 5748830926540 6611155565521 10171008562340 13222311131042 26444622262084 33055777827605 66111555655210 132223111310420