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1011401111112 = 23377184792179
BaseRepresentation
bin11101011011111000011…
…01000011011001001000
310120200121021121212201120
432231330031003121020
5113032322141023422
62052344203515240
7133033314412020
oct16557415033110
93520537555646
101011401111112
1135aa29618477
12144024228b20
13744b4333432
1436d486caa80
151b49763845c
hexeb7c343648

1011401111112 has 64 divisors (see below), whose sum is σ = 2930417740800. Its totient is φ = 284901718080.

The previous prime is 1011401111101. The next prime is 1011401111141. The reversal of 1011401111112 is 2111111041101.

1011401111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011401111091 and 1011401111100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42384162 + ... + 42408017.

It is an arithmetic number, because the mean of its divisors is an integer number (45787777200).

Almost surely, 21011401111112 is an apocalyptic number.

1011401111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011401111112 is an abundant number, since it is smaller than the sum of its proper divisors (1919016629688).

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

1011401111112 is a wasteful number, since it uses less digits than its factorization.

1011401111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84792266 (or 84792262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1011401111112 its reverse (2111111041101), we get a palindrome (3122512152213).

The spelling of 1011401111112 in words is "one trillion, eleven billion, four hundred one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11928 84792179 169584358 254376537 339168716 508753074 593545253 678337432 1017506148 1187090506 1780635759 2035012296 2374181012 3561271518 4748362024 6020244709 7122543036 12040489418 14245086072 18060734127 24080978836 36121468254 42141712963 48161957672 72242936508 84283425926 126425138889 144485873016 168566851852 252850277778 337133703704 505700555556 1011401111112