Search a number
-
+
10122000102 = 2325323514513
BaseRepresentation
bin10010110110101000…
…10111011011100110
3222010102022212210200
421123110113123212
5131212213000402
64352221331330
7505555403244
oct113324273346
928112285720
1010122000102
114324672545
121b65a06b46
13c54064896
146c043d794
153e395b21c
hex25b5176e6

10122000102 has 48 divisors (see below), whose sum is σ = 22359250368. Its totient is φ = 3308198400.

The previous prime is 10122000059. The next prime is 10122000113. The reversal of 10122000102 is 20100022101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240598 + ... + 2245110.

It is an arithmetic number, because the mean of its divisors is an integer number (465817716).

Almost surely, 210122000102 is an apocalyptic number.

10122000102 is an abundant number, since it is smaller than the sum of its proper divisors (12237250266).

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

10122000102 is a wasteful number, since it uses less digits than its factorization.

10122000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10122000102 its reverse (20100022101), we get a palindrome (30222022203).

The spelling of 10122000102 in words is "ten billion, one hundred twenty-two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 2351 4513 4702 7053 9026 13539 14106 21159 27078 40617 42318 81234 124603 239189 249206 373809 478378 717567 747618 1121427 1435134 2152701 2242854 4305402 10610063 21220126 31830189 63660378 95490567 190981134 562333339 1124666678 1687000017 3374000034 5061000051 10122000102