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11122656102 = 2341633971061
BaseRepresentation
bin10100101101111011…
…00100001101100110
31001201011020110210000
422112331210031212
5140234344443402
65035405042130
7542426005545
oct122675441546
931634213700
1011122656102
1147984a4178
1221a4b56346
13108347151c
147772bc15c
1545171bc1c
hex296f64366

11122656102 has 80 divisors (see below), whose sum is σ = 25162747632. Its totient is φ = 3672060480.

The previous prime is 11122656073. The next prime is 11122656133. The reversal of 11122656102 is 20165622111.

11122656102 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 656 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10482652 + ... + 10483712.

Almost surely, 211122656102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122656102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581373816).

11122656102 is an abundant number, since it is smaller than the sum of its proper divisors (14040091530).

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

11122656102 is a wasteful number, since it uses less digits than its factorization.

11122656102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11122656102 in words is "eleven billion, one hundred twenty-two million, six hundred fifty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 397 489 794 978 1061 1191 1467 2122 2382 2934 3183 3573 4401 6366 7146 8802 9549 10719 13203 19098 21438 26406 28647 32157 57294 64314 64711 85941 129422 171882 172943 194133 345886 388266 421217 518829 582399 842434 1037658 1164798 1263651 1556487 1747197 2527302 3112974 3494394 3790953 4669461 5241591 7581906 9338922 10483182 11372859 14008383 22745718 28016766 34118577 68237154 68658371 137316742 205975113 411950226 617925339 1235850678 1853776017 3707552034 5561328051 11122656102