Search a number
-
+
22130000010 = 23355397107149
BaseRepresentation
bin10100100111000011…
…010000000010001010
32010010021111110222000
4110213003100002022
5330310240000020
614055534411430
71412254616316
oct244703200212
963107443860
1022130000010
119426898608
124357360b76
132118a6a781
1410dd140b46
15897c5c090
hex5270d008a

22130000010 has 256 divisors, whose sum is σ = 61725888000. Its totient is φ = 5638643712.

The previous prime is 22130000003. The next prime is 22130000041. The reversal of 22130000010 is 1000003122.

It is a happy number.

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 = 22129999947 and 22130000001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148523416 + ... + 148523564.

It is an arithmetic number, because the mean of its divisors is an integer number (241116750).

Almost surely, 222130000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862944000).

22130000010 is an abundant number, since it is smaller than the sum of its proper divisors (39595887990).

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

22130000010 is a wasteful number, since it uses less digits than its factorization.

22130000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 22130000010 its reverse (1000003122), we get a palindrome (23130003132).

The spelling of 22130000010 in words is "twenty-two billion, one hundred thirty million, ten", and thus it is an aban number.