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132021054052125 = 3537614943166799
BaseRepresentation
bin11110000001001010001100…
…000001111001011100011101
3122022110002102020202210200020
4132001022030001321130131
5114301013104314132000
61144441345052222353
736544130535536640
oct3601121401713435
9568402366683606
10132021054052125
113907a8a6259a97
1212982693a6a9b9
1358886bb9a7c64
142485bd2d11a57
15103e285aedba0
hex78128c07971d

132021054052125 has 128 divisors (see below), whose sum is σ = 255235321036800. Its totient is φ = 59350731552000.

The previous prime is 132021054052087. The next prime is 132021054052127. The reversal of 132021054052125 is 521250450120231.

It is not a de Polignac number, because 132021054052125 - 26 = 132021054052061 is a prime.

It is a super-2 number, since 2×1320210540521252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021054052127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 791414476 + ... + 791581274.

It is an arithmetic number, because the mean of its divisors is an integer number (1994025945600).

Almost surely, 2132021054052125 is an apocalyptic number.

132021054052125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132021054052125 is a deficient number, since it is larger than the sum of its proper divisors (123214266984675).

132021054052125 is a wasteful number, since it uses less digits than its factorization.

132021054052125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171828 (or 171818 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 132021054052125 in words is "one hundred thirty-two trillion, twenty-one billion, fifty-four million, fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 61 75 105 125 175 183 305 375 427 525 875 915 1281 1525 2135 2625 4575 4943 6405 7625 10675 14829 22875 24715 32025 34601 53375 74145 103803 123575 160125 166799 173005 301523 370725 500397 519015 617875 833995 865025 904569 1167593 1507615 1853625 2110661 2501985 2595075 3502779 4169975 4325125 4522845 5837965 6331983 7538075 10174739 10553305 12509925 12975375 17513895 20849875 22614225 29189825 30524217 31659915 37690375 50873695 52766525 62549625 71223173 87569475 113071125 145949125 152621085 158299575 213669519 254368475 263832625 356115865 437847375 763105425 791497875 824487457 1068347595 1271842375 1780579325 2473462371 3815527125 4122437285 5341737975 5771412199 8902896625 12367311855 17314236597 20612186425 26708689875 28857060995 50293734877 61836559275 86571182985 103060932125 144285304975 150881204631 251468674385 309182796375 352056144139 432855914925 721426524875 754406023155 1056168432417 1257343371925 1760280720695 2164279574625 3772030115775 5280842162085 6286716859625 8801403603475 18860150578875 26404210810425 44007018017375 132021054052125