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10122123102 = 23713174912221
BaseRepresentation
bin10010110110101001…
…10101011101011110
3222010102120010112020
421123110311131132
5131212230414402
64352224121010
7505556424660
oct113324653536
928112503466
1010122123102
1143247469a3
121b65a66166
13c540a8870
146c0472530
153e39828bc
hex25b53575e

10122123102 has 128 divisors (see below), whose sum is σ = 26447275008. Its totient is φ = 2506291200.

The previous prime is 10122123079. The next prime is 10122123127. The reversal of 10122123102 is 20132122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4556352 + ... + 4558572.

It is an arithmetic number, because the mean of its divisors is an integer number (206619336).

Almost surely, 210122123102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223637504).

10122123102 is an abundant number, since it is smaller than the sum of its proper divisors (16325151906).

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

10122123102 is a wasteful number, since it uses less digits than its factorization.

10122123102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122123102 its reverse (20132122101), we get a palindrome (30254245203).

The spelling of 10122123102 in words is "ten billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 491 546 663 714 982 1326 1473 1547 2221 2946 3094 3437 4442 4641 6383 6663 6874 8347 9282 10311 12766 13326 15547 16694 19149 20622 25041 28873 31094 37757 38298 44681 46641 50082 57746 58429 75514 86619 89362 93282 108511 113271 116858 134043 173238 175287 202111 217022 226542 264299 268086 325533 350574 404222 490841 528598 606333 651066 759577 792897 981682 1090511 1212666 1472523 1519154 1585794 2181022 2278731 2945046 3271533 3435887 4557462 6543066 6871774 7633577 10307661 14176643 15267154 18538687 20615322 22900731 28353286 37077374 42529929 45801462 55616061 85059858 99236501 111232122 129770809 198473002 241002931 259541618 297709503 389312427 482005862 595419006 723008793 778624854 1446017586 1687020517 3374041034 5061061551 10122123102