Search a number
-
+
10013122000 = 24537715223
BaseRepresentation
bin10010101001101010…
…00001110111010000
3221211211110022010101
421110311001313100
5131001324401000
64333331542144
7503064063340
oct112465016720
927754408111
1010013122000
114279167842
121b3545a954
13c3763307b
146adbbad20
153d9100e6a
hex254d41dd0

10013122000 has 80 divisors (see below), whose sum is σ = 27670586112. Its totient is φ = 3433065600.

The previous prime is 10013121971. The next prime is 10013122019. The reversal of 10013122000 is 22131001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100131220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 343612 + ... + 371611.

Almost surely, 210013122000 is an apocalyptic number.

10013122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013122000 is an abundant number, since it is smaller than the sum of its proper divisors (17657464112).

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

10013122000 is an equidigital number, since it uses as much as digits as its factorization.

10013122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715253 (or 715237 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10013122000 its reverse (22131001), we get a palindrome (10035253001).

Subtracting from 10013122000 its reverse (22131001), we obtain a palindrome (9990990999).

The spelling of 10013122000 in words is "ten billion, thirteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 715223 1430446 2860892 3576115 5006561 5721784 7152230 10013122 11443568 14304460 17880575 20026244 25032805 28608920 35761150 40052488 50065610 57217840 71522300 80104976 89402875 100131220 125164025 143044600 178805750 200262440 250328050 286089200 357611500 400524880 500656100 625820125 715223000 1001312200 1251640250 1430446000 2002624400 2503280500 5006561000 10013122000