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1011221102112 = 253133126137849
BaseRepresentation
bin11101011011100010111…
…10010111111000100000
310120200010201220110210120
432231301132113320200
5113031440100231422
62052314253400240
7133026000355314
oct16556136277040
93520121813716
101011221102112
1135a946a4a001
12143b93a99080
1374485c58430
1436d2c82db44
151b48692c45c
hexeb71797e20

1011221102112 has 96 divisors (see below), whose sum is σ = 2950858713600. Its totient is φ = 301108008960.

The previous prime is 1011221102083. The next prime is 1011221102123. The reversal of 1011221102112 is 2112011221101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1011221102091 and 1011221102100.

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, 13030237 + ... + 13107612.

It is an arithmetic number, because the mean of its divisors is an integer number (30738111600).

Almost surely, 21011221102112 is an apocalyptic number.

1011221102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011221102112 is an abundant number, since it is smaller than the sum of its proper divisors (1939637611488).

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

1011221102112 is a wasteful number, since it uses less digits than its factorization.

1011221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26137906 (or 26137898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1011221102112 its reverse (2112011221101), we get a palindrome (3123232323213).

The spelling of 1011221102112 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 26137849 52275698 78413547 104551396 156827094 209102792 313654188 339792037 418205584 627308376 679584074 810273319 836411168 1019376111 1254616752 1359168148 1620546638 2038752222 2430819957 2509233504 2718336296 3241093276 4077504444 4861639914 5436672592 6482186552 8155008888 9723279828 10533553147 10873345184 12964373104 16310017776 19446559656 21067106294 25928746208 31600659441 32620035552 38893119312 42134212588 63201318882 77786238624 84268425176 126402637764 168536850352 252805275528 337073700704 505610551056 1011221102112