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102321011202120 = 23345127248665819
BaseRepresentation
bin10111010000111101110111…
…100001101001100001001000
3111102021210102012101001210000
4113100331313201221201020
5101402411412331431440
61001341342411523000
730360310020635004
oct2720756741514110
9442253365331700
10102321011202120
112a66a108358407
12b5865b7759460
134512aa3543799
141b3a513111704
15bc690e86c730
hex5d0f77869848

102321011202120 has 160 divisors (see below), whose sum is σ = 346620259814400. Its totient is φ = 27070755610752.

The previous prime is 102321011202073. The next prime is 102321011202139. The reversal of 102321011202120 is 21202110123201.

102321011202120 is a `hidden beast` number, since 1 + 0 + 232 + 101 + 120 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102321011202093 and 102321011202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123921430 + ... + 124744389.

It is an arithmetic number, because the mean of its divisors is an integer number (2166376623840).

Almost surely, 2102321011202120 is an apocalyptic number.

102321011202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321011202120 is an abundant number, since it is smaller than the sum of its proper divisors (244299248612280).

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

102321011202120 is a wasteful number, since it uses less digits than its factorization.

102321011202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248665969 (or 248665956 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102321011202120 its reverse (21202110123201), we get a palindrome (123523121325321).

The spelling of 102321011202120 in words is "one hundred two trillion, three hundred twenty-one billion, eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 254 270 324 360 381 405 508 540 635 648 762 810 1016 1080 1143 1270 1524 1620 1905 2286 2540 3048 3240 3429 3810 4572 5080 5715 6858 7620 9144 10287 11430 13716 15240 17145 20574 22860 27432 34290 41148 45720 51435 68580 82296 102870 137160 205740 411480 248665819 497331638 745997457 994663276 1243329095 1491994914 1989326552 2237992371 2486658190 2983989828 3729987285 4475984742 4973316380 5967979656 6713977113 7459974570 8951969484 9946632760 11189961855 13427954226 14919949140 17903938968 20141931339 22379923710 26855908452 29839898280 31580559013 33569885565 40283862678 44759847420 53711816904 63161118026 67139771130 80567725356 89519694840 94741677039 100709656695 126322236052 134279542260 157902795065 161135450712 189483354078 201419313390 252644472104 268559084520 284225031117 315805590130 378966708156 402838626780 473708385195 568450062234 631611180260 757933416312 805677253560 852675093351 947416770390 1136900124468 1263222360520 1421125155585 1705350186702 1894833540780 2273800248936 2558025280053 2842250311170 3410700373404 3789667081560 4263375466755 5116050560106 5684500622340 6821400746808 8526750933510 10232101120212 11369001244680 12790126400265 17053501867020 20464202240424 25580252800530 34107003734040 51160505601060 102321011202120