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132130211331120 = 24358910956751113
BaseRepresentation
bin11110000010101111110110…
…010011110111110000110000
3122022211112011121110010011020
4132002233312103313300300
5114304310133100043440
61145003440415415440
736555043545233562
oct3602576623676060
9568745147403136
10132130211331120
113911212073a362
121299b878524580
135895a96714a82
14248b1ca209332
151042023c313d0
hex782bf64f7c30

132130211331120 has 160 divisors (see below), whose sum is σ = 418006005278400. Its totient is φ = 34519204380672.

The previous prime is 132130211331109. The next prime is 132130211331137. The reversal of 132130211331120 is 21133112031231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26047317 + ... + 30703796.

It is an arithmetic number, because the mean of its divisors is an integer number (2612537532990).

Almost surely, 2132130211331120 is an apocalyptic number.

132130211331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132130211331120 is an abundant number, since it is smaller than the sum of its proper divisors (285875793947280).

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

132130211331120 is a wasteful number, since it uses less digits than its factorization.

132130211331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56751327 (or 56751321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132130211331120 its reverse (21133112031231), we get a palindrome (153263323362351).

The spelling of 132130211331120 in words is "one hundred thirty-two trillion, one hundred thirty billion, two hundred eleven million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 109 120 178 218 240 267 327 356 436 445 534 545 654 712 872 890 1068 1090 1308 1335 1424 1635 1744 1780 2136 2180 2616 2670 3270 3560 4272 4360 5232 5340 6540 7120 8720 9701 10680 13080 19402 21360 26160 29103 38804 48505 58206 77608 97010 116412 145515 155216 194020 232824 291030 388040 465648 582060 776080 1164120 2328240 56751113 113502226 170253339 227004452 283755565 340506678 454008904 567511130 681013356 851266695 908017808 1135022260 1362026712 1702533390 2270044520 2724053424 3405066780 4540089040 5050849057 6185871317 6810133560 10101698114 12371742634 13620267120 15152547171 18557613951 20203396228 24743485268 25254245285 30305094342 30929356585 37115227902 40406792456 49486970536 50508490570 60610188684 61858713170 74230455804 75762735855 80813584912 92788069755 98973941072 101016981140 121220377368 123717426340 148460911608 151525471710 185576139510 202033962280 242440754736 247434852680 296921823216 303050943420 371152279020 404067924560 494869705360 550542547213 606101886840 742304558040 1101085094426 1212203773680 1484609116080 1651627641639 2202170188852 2752712736065 3303255283278 4404340377704 5505425472130 6606510566556 8258138208195 8808680755408 11010850944260 13213021133112 16516276416390 22021701888520 26426042266224 33032552832780 44043403777040 66065105665560 132130211331120