Search a number
-
+
12302010100 = 2252123020101
BaseRepresentation
bin10110111010100000…
…11100011011110100
31011202100101212022201
423131100130123310
5200143303310400
65352414434244
7613566234442
oct133520343364
934670355281
1012302010100
1152431892a6
122473b02984
1312108b7523
14849b95b92
154c002a06a
hex2dd41c6f4

12302010100 has 18 divisors (see below), whose sum is σ = 26695362134. Its totient is φ = 4920804000.

The previous prime is 12302010053. The next prime is 12302010103. The reversal of 12302010100 is 101020321.

It can be written as a sum of positive squares in 3 ways, for example, as 1425636 + 12300584464 = 1194^2 + 110908^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302010103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61509951 + ... + 61510150.

Almost surely, 212302010100 is an apocalyptic number.

12302010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302010100 is an abundant number, since it is smaller than the sum of its proper divisors (14393352034).

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

12302010100 is a wasteful number, since it uses less digits than its factorization.

12302010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123020115 (or 123020108 counting only the distinct ones).

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

Adding to 12302010100 its reverse (101020321), we get a palindrome (12403030421).

The spelling of 12302010100 in words is "twelve billion, three hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123020101 246040202 492080404 615100505 1230201010 2460402020 3075502525 6151005050 12302010100