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132124012414300 = 22527193719860209
BaseRepresentation
bin11110000010101010000100…
…110100111000010101011100
3122022210221011121002111220101
4132002222010310320111130
5114304204434134224200
61145000533335230444
736554434124302024
oct3602520464702534
9568727147074811
10132124012414300
113910a52a5a6405
121299a628518424
135895319380a5a
14248ab9cc1aa84
151041cae90526a
hex782a84d3855c

132124012414300 has 72 divisors (see below), whose sum is σ = 291057573935520. Its totient is φ = 52049633126400.

The previous prime is 132124012414283. The next prime is 132124012414393. The reversal of 132124012414300 is 3414210421231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3277405 + ... + 16582804.

It is an arithmetic number, because the mean of its divisors is an integer number (4042466304660).

Almost surely, 2132124012414300 is an apocalyptic number.

132124012414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124012414300 is an abundant number, since it is smaller than the sum of its proper divisors (158933561521220).

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

132124012414300 is a wasteful number, since it uses less digits than its factorization.

132124012414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861231 (or 19861224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132124012414300 its reverse (3414210421231), we get a palindrome (135538222835531).

The spelling of 132124012414300 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, twelve million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 937 1420 1775 1874 3550 3748 4685 7100 9370 18740 23425 46850 66527 93700 133054 266108 332635 665270 1330540 1663175 3326350 6652700 19860209 39720418 79440836 99301045 198602090 397204180 496505225 993010450 1410074839 1986020900 2820149678 5640299356 7050374195 14100748390 18609015833 28201496780 35251870975 37218031666 70503741950 74436063332 93045079165 141007483900 186090158330 372180316660 465225395825 930450791650 1321240124143 1860901583300 2642480248286 5284960496572 6606200620715 13212401241430 26424802482860 33031003103575 66062006207150 132124012414300