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132430010413200 = 24352671647139433
BaseRepresentation
bin11110000111000111000011…
…101110100111000010010000
3122100220012000010022110022220
4132013013003232213002100
5114324213130131210300
61145353301254301040
736615516053336553
oct3607070356470220
9570805003273286
10132430010413200
1139218285486a95
1212a299a6657780
1358b8133a27626
14249b90a7aa69a
151049c1d953da0
hex7871c3ba7090

132430010413200 has 120 divisors (see below), whose sum is σ = 430549070932128. Its totient is φ = 34787584803840.

The previous prime is 132430010413193. The next prime is 132430010413201. The reversal of 132430010413200 is 2314010034231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1324300104132003 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132430010413201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823489317 + ... + 823650116.

Almost surely, 2132430010413200 is an apocalyptic number.

132430010413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132430010413200 is an abundant number, since it is smaller than the sum of its proper divisors (298119060518928).

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

132430010413200 is a wasteful number, since it uses less digits than its factorization.

132430010413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647139521 (or 1647139510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132430010413200 its reverse (2314010034231), we get a palindrome (134744020447431).

The spelling of 132430010413200 in words is "one hundred thirty-two trillion, four hundred thirty billion, ten million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 20100 26800 40200 80400 1647139433 3294278866 4941418299 6588557732 8235697165 9882836598 13177115464 16471394330 19765673196 24707091495 26354230928 32942788660 39531346392 41178485825 49414182990 65885577320 79062692784 82356971650 98828365980 110358342011 123535457475 131771154640 164713943300 197656731960 220716684022 247070914950 329427886600 331075026033 395313463920 441433368044 494141829900 551791710055 658855773200 662150052066 882866736088 988283659800 1103583420110 1324300104132 1655375130165 1765733472176 1976567319600 2207166840220 2648600208264 2758958550275 3310750260330 4414333680440 5297200416528 5517917100550 6621500520660 8276875650825 8828667360880 11035834201100 13243001041320 16553751301650 22071668402200 26486002082640 33107502603300 44143336804400 66215005206600 132430010413200