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102000212111880 = 23325283333922533
BaseRepresentation
bin10111001100010011000110…
…011010001111001000001000
3111101011010101011021210001100
4113030103012122033020020
5101332132413300040010
61000534130042021400
730325162225441305
oct2714230632171010
9441133334253040
10102000212111880
112a556057662835
12b5343a87a7860
1344bb76a6154b4
141b28b9d9180ac
15bbd3d61ea2c0
hex5cc4c668f208

102000212111880 has 48 divisors (see below), whose sum is σ = 331500689364780. Its totient is φ = 27200056563072.

The previous prime is 102000212111879. The next prime is 102000212112031. The reversal of 102000212111880 is 88111212000201.

It can be written as a sum of positive squares in 2 ways, for example, as 95227424470116 + 6772787641764 = 9758454^2 + 2602458^2 .

It is a super-2 number, since 2×1020002121118802 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141666960907 + ... + 141666961626.

Almost surely, 2102000212111880 is an apocalyptic number.

102000212111880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000212111880 is an abundant number, since it is smaller than the sum of its proper divisors (229500477252900).

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

102000212111880 is a wasteful number, since it uses less digits than its factorization.

102000212111880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283333922550 (or 283333922543 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 102000212111880 in words is "one hundred two trillion, two hundred twelve million, one hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 283333922533 566667845066 850001767599 1133335690132 1416669612665 1700003535198 2266671380264 2550005302797 2833339225330 3400007070396 4250008837995 5100010605594 5666678450660 6800014140792 8500017675990 10200021211188 11333356901320 12750026513985 17000035351980 20400042422376 25500053027970 34000070703960 51000106055940 102000212111880