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102330320031312 = 2438349747516319
BaseRepresentation
bin10111010001000110100010…
…011000000000111001010000
3111102022200102221120120210120
4113101012202120000321100
5101403034443412000222
61001345522224230240
730361056503450502
oct2721064230007120
9442280387516716
10102330320031312
112a673054a0357a
12b58837516b380
134513927c93539
141b3ab57557d72
15bc6ca6bee15c
hex5d11a2600e50

102330320031312 has 80 divisors (see below), whose sum is σ = 267544202741760. Its totient is φ = 33698398859136.

The previous prime is 102330320031287. The next prime is 102330320031319. The reversal of 102330320031312 is 213130023033201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330320031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197933889 + ... + 198450207.

It is an arithmetic number, because the mean of its divisors is an integer number (3344302534272).

Almost surely, 2102330320031312 is an apocalyptic number.

102330320031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102330320031312 is an abundant number, since it is smaller than the sum of its proper divisors (165213882710448).

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

102330320031312 is a wasteful number, since it uses less digits than its factorization.

102330320031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566160 (or 566154 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102330320031312 its reverse (213130023033201), we get a palindrome (315460343064513).

The spelling of 102330320031312 in words is "one hundred two trillion, three hundred thirty billion, three hundred twenty million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 49747 99494 149241 198988 298482 397976 516319 596964 795952 1032638 1193928 1548957 2065276 2387856 3097914 4129001 4130552 6195828 8258002 8261104 12387003 12391656 16516004 24774006 24783312 33032008 42854477 49548012 66064016 85708954 99096024 128563431 171417908 198192048 257126862 342835816 514253724 685671632 1028507448 2057014896 25685321293 51370642586 77055963879 102741285172 154111927758 205482570344 308223855516 410965140688 616447711032 1232895422064 2131881667319 4263763334638 6395645001957 8527526669276 12791290003914 17055053338552 25582580007828 34110106677104 51165160015656 102330320031312