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102020111202120 = 233537152315087001
BaseRepresentation
bin10111001100100101101000…
…011111001111011101001000
3111101020000201221221022010120
4113030211220133033131020
5101332444141431431440
61000551220404343240
730326465314063536
oct2714455037173510
9441200657838116
10102020111202120
112a563539129861
12b5382209a4b20
1344c05bc11b4c7
141b29b2a653156
15bbdb9d181dd0
hex5cc9687cf748

102020111202120 has 128 divisors (see below), whose sum is σ = 314538645536640. Its totient is φ = 26452700928000.

The previous prime is 102020111202059. The next prime is 102020111202151. The reversal of 102020111202120 is 21202111020201.

It is a super-2 number, since 2×1020201112021202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102020111202120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781381 + ... + 14305620.

It is an arithmetic number, because the mean of its divisors is an integer number (2457333168255).

Almost surely, 2102020111202120 is an apocalyptic number.

102020111202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020111202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157269322768320).

102020111202120 is an abundant number, since it is smaller than the sum of its proper divisors (212518534334520).

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

102020111202120 is a wasteful number, since it uses less digits than its factorization.

102020111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15088575 (or 15088571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102020111202120 its reverse (21202111020201), we get a palindrome (123222222222321).

The spelling of 102020111202120 in words is "one hundred two trillion, twenty billion, one hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1523 2220 3046 4440 4569 6092 7615 9138 12184 15230 18276 22845 30460 36552 45690 56351 60920 91380 112702 169053 182760 225404 281755 338106 450808 563510 676212 845265 1127020 1352424 1690530 2254040 3381060 6762120 15087001 30174002 45261003 60348004 75435005 90522006 120696008 150870010 181044012 226305015 301740020 362088024 452610030 558219037 603480040 905220060 1116438074 1674657111 1810440120 2232876148 2791095185 3349314222 4465752296 5582190370 6698628444 8373285555 11164380740 13397256888 16746571110 22328761480 22977502523 33493142220 45955005046 66986284440 68932507569 91910010092 114887512615 137865015138 183820020184 229775025230 275730030276 344662537845 459550050460 551460060552 689325075690 850167593351 919100100920 1378650151380 1700335186702 2550502780053 2757300302760 3400670373404 4250837966755 5101005560106 6801340746808 8501675933510 10202011120212 12752513900265 17003351867020 20404022240424 25505027800530 34006703734040 51010055601060 102020111202120