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102132330321120 = 25351119343244379
BaseRepresentation
bin10111001110001110001001…
…010001001101010011100000
3111101121202101201000012111020
4113032032021101031103200
5101341314003030233440
61001114540025445440
730340550232622641
oct2716161121152340
9441552351005436
10102132330321120
112a5a7094977910
12b555b1a940880
1344cb0642b2178
141b3133444d6c8
15bc1a69ec13d0
hex5ce38944d4e0

102132330321120 has 96 divisors (see below), whose sum is σ = 350963826030720. Its totient is φ = 24759352803840.

The previous prime is 102132330321083. The next prime is 102132330321143. The reversal of 102132330321120 is 21123033231201.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9671616910 + ... + 9671627469.

It is an arithmetic number, because the mean of its divisors is an integer number (3655873187820).

Almost surely, 2102132330321120 is an apocalyptic number.

102132330321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132330321120 is an abundant number, since it is smaller than the sum of its proper divisors (248831495709600).

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

102132330321120 is a wasteful number, since it uses less digits than its factorization.

102132330321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19343244408 (or 19343244400 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102132330321120 its reverse (21123033231201), we get a palindrome (123255363552321).

The spelling of 102132330321120 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 19343244379 38686488758 58029733137 77372977516 96716221895 116059466274 154745955032 193432443790 212775688169 232118932548 290148665685 309491910064 386864887580 425551376338 464237865096 580297331370 618983820128 638327064507 773729775160 851102752676 928475730192 1063878440845 1160594662740 1276654129014 1547459550320 1702205505352 1856951460384 2127756881690 2321189325480 2553308258028 3094919100640 3191635322535 3404411010704 4255513763380 4642378650960 5106616516056 6383270645070 6808822021408 8511027526760 9284757301920 10213233032112 12766541290140 17022055053520 20426466064224 25533082580280 34044110107040 51066165160560 102132330321120