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123201230131320 = 233511365272555213
BaseRepresentation
bin11100000000110100000101…
…100011101101000001111000
3121011012220220120001010211020
4130000310011203231001320
5112122012104403200240
61114005510324302440
734643665222300035
oct3400640543550170
9534186816033736
10123201230131320
113628a391617a40
1211999282841a20
135398a9808cba3
14225cd8557c38c
15e39b3030c0d0
hex700d058ed078

123201230131320 has 128 divisors (see below), whose sum is σ = 403215222205440. Its totient is φ = 29866135523840.

The previous prime is 123201230131289. The next prime is 123201230131321. The reversal of 123201230131320 is 23131032102321.

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 (123201230131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46938034 + ... + 49493246.

It is an arithmetic number, because the mean of its divisors is an integer number (3150118923480).

Almost surely, 2123201230131320 is an apocalyptic number.

123201230131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123201230131320 is an abundant number, since it is smaller than the sum of its proper divisors (280013992074120).

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

123201230131320 is a wasteful number, since it uses less digits than its factorization.

123201230131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591765 (or 2591761 counting only the distinct ones).

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

Adding to 123201230131320 its reverse (23131032102321), we get a palindrome (146332262233641).

The spelling of 123201230131320 in words is "one hundred twenty-three trillion, two hundred one billion, two hundred thirty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 36527 73054 109581 146108 182635 219162 292216 365270 401797 438324 547905 730540 803594 876648 1095810 1205391 1461080 1607188 2008985 2191620 2410782 2555213 3214376 4017970 4383240 4821564 5110426 6026955 7665639 8035940 9643128 10220852 12053910 12776065 15331278 16071880 20441704 24107820 25552130 28107343 30662556 38328195 48215640 51104260 56214686 61325112 76656390 84322029 102208520 112429372 140536715 153312780 168644058 224858744 281073430 306625560 337288116 421610145 562146860 674576232 843220290 1124293720 1686440580 3372881160 93334265251 186668530502 280002795753 373337061004 466671326255 560005591506 746674122008 933342652510 1026676917761 1120011183012 1400013978765 1866685305020 2053353835522 2240022366024 2800027957530 3080030753283 3733370610040 4106707671044 5133384588805 5600055915060 6160061506566 8213415342088 10266769177610 11200111830120 12320123013132 15400153766415 20533538355220 24640246026264 30800307532830 41067076710440 61600615065660 123201230131320