Search a number
-
+
10000122210 = 2325138547113
BaseRepresentation
bin10010101000000110…
…11100000101100010
3221210220222211202200
421110003130011202
5130440012402320
64332145154030
7502545431151
oct112403340542
927726884680
1010000122210
114271898911
121b3102b916
13c34a30ca0
146ac195598
153d7dd4290
hex2540dc162

10000122210 has 48 divisors (see below), whose sum is σ = 28000345464. Its totient is φ = 2461568256.

The previous prime is 10000122191. The next prime is 10000122217. The reversal of 10000122210 is 1222100001.

It can be written as a sum of positive squares in 4 ways, for example, as 4042289241 + 5957832969 = 63579^2 + 77187^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10000122192 and 10000122201.

It is not an unprimeable number, because it can be changed into a prime (10000122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4272387 + ... + 4274726.

Almost surely, 210000122210 is an apocalyptic number.

10000122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000122210 is an abundant number, since it is smaller than the sum of its proper divisors (18000223254).

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

10000122210 is a wasteful number, since it uses less digits than its factorization.

10000122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547139 (or 8547136 counting only the distinct ones).

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

Adding to 10000122210 its reverse (1222100001), we get a palindrome (11222222211).

The spelling of 10000122210 in words is "ten billion, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8547113 17094226 25641339 42735565 51282678 76924017 85471130 111112469 128206695 153848034 222224938 256413390 333337407 384620085 555562345 666674814 769240170 1000012221 1111124690 1666687035 2000024442 3333374070 5000061105 10000122210