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12210103000 = 2353192149227
BaseRepresentation
bin10110101111100011…
…10110001011011000
31011111221110111111001
423113301312023120
5200001241244000
65335332514344
7611402106634
oct132761661330
934457414431
1012210103000
1151a6315117
12244917b9b4
1311c7848524
1483b8addc4
154b6e2346a
hex2d7c762d8

12210103000 has 192 divisors, whose sum is σ = 30490668000. Its totient is φ = 4575686400.

The previous prime is 12210102929. The next prime is 12210103007. The reversal of 12210103000 is 30101221.

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 (12210103007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53788887 + ... + 53789113.

Almost surely, 212210103000 is an apocalyptic number.

12210103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245334000).

12210103000 is an abundant number, since it is smaller than the sum of its proper divisors (18280565000).

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

12210103000 is a wasteful number, since it uses less digits than its factorization.

12210103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

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

Adding to 12210103000 its reverse (30101221), we get a palindrome (12240204221).

The spelling of 12210103000 in words is "twelve billion, two hundred ten million, one hundred three thousand".