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23102002112 = 267194875573
BaseRepresentation
bin10101100000111111…
…001001001111000000
32012122000111022011212
4111200333021033000
5334303103031422
614340220025252
71445326530560
oct254077111700
965560438155
1023102002112
119885529132
124588992228
132242254047
141192280da0
1590325c9e2
hex560fc93c0

23102002112 has 112 divisors (see below), whose sum is σ = 55272675840. Its totient is φ = 9358820352.

The previous prime is 23102002097. The next prime is 23102002129. The reversal of 23102002112 is 21120020132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 4142558 + ... + 4148130.

Almost surely, 223102002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27636337920).

23102002112 is an abundant number, since it is smaller than the sum of its proper divisors (32170673728).

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

23102002112 is a wasteful number, since it uses less digits than its factorization.

23102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23102002112 its reverse (21120020132), we get a palindrome (44222022244).

The spelling of 23102002112 in words is "twenty-three billion, one hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 487 532 608 974 1064 1216 1948 2128 3409 3896 4256 5573 6818 7792 8512 9253 11146 13636 15584 18506 22292 27272 31168 37012 39011 44584 54544 64771 74024 78022 89168 105887 109088 129542 148048 156044 178336 211774 218176 259084 296096 312088 356672 423548 518168 592192 624176 741209 847096 1036336 1248352 1482418 1694192 2072672 2496704 2714051 2964836 3388384 4145344 5428102 5929672 6776768 10856204 11859344 18998357 21712408 23718688 37996714 43424816 47437376 51566969 75993428 86849632 103133938 151986856 173699264 206267876 303973712 360968783 412535752 607947424 721937566 825071504 1215894848 1443875132 1650143008 2887750264 3300286016 5775500528 11551001056 23102002112