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110001111002120 = 235131712443564593
BaseRepresentation
bin11001000000101110100001…
…001001010110110000001000
3112102111000002120002112111202
4121000232201021112300020
5103404224233404031440
61025541451320243332
732112214035055022
oct3100564111266010
9472430076075452
10110001111002120
113206023348a568
1210406b51610548
13494c0a2504b70
141d24121705012
15cab5ac01d615
hex640ba1256c08

110001111002120 has 64 divisors (see below), whose sum is σ = 282220044991920. Its totient is φ = 38226630426624.

The previous prime is 110001111002113. The next prime is 110001111002147. The reversal of 110001111002120 is 21200111100011.

It can be written as a sum of positive squares in 8 ways, for example, as 42265939503076 + 67735171499044 = 6501226^2 + 8230138^2 .

It is an unprimeable number.

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, 6221773457 + ... + 6221791136.

Almost surely, 2110001111002120 is an apocalyptic number.

110001111002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001111002120 is an abundant number, since it is smaller than the sum of its proper divisors (172218933989800).

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

110001111002120 is a wasteful number, since it uses less digits than its factorization.

110001111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443564634 (or 12443564630 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110001111002120 its reverse (21200111100011), we get a palindrome (131201222102131).

The spelling of 110001111002120 in words is "one hundred ten trillion, one billion, one hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 12443564593 24887129186 49774258372 62217822965 99548516744 124435645930 161766339709 211540598081 248871291860 323532679418 423081196162 497742583720 647065358836 808831698545 846162392324 1057702990405 1294130717672 1617663397090 1692324784648 2115405980810 2750027775053 3235326794180 4230811961620 5500055550106 6470653588360 8461623923240 11000111100212 13750138875265 22000222200424 27500277750530 55000555501060 110001111002120