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12235144100 = 2252421290621
BaseRepresentation
bin10110110010100010…
…10111101110100100
31011120200120201102012
423121101113232210
5200024144102400
65342025333352
7612125003024
oct133121275644
934520521365
1012235144100
115209468943
122455637258
1311ccaa534a
14840d4ba84
154b921cd35
hex2d9457ba4

12235144100 has 36 divisors (see below), whose sum is σ = 26613419028. Its totient is φ = 4882416000.

The previous prime is 12235144099. The next prime is 12235144169. The reversal of 12235144100 is 144153221.

It can be written as a sum of positive squares in 6 ways, for example, as 193154404 + 12041989696 = 13898^2 + 109736^2 .

It is a super-2 number, since 2×122351441002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103211 + ... + 187410.

Almost surely, 212235144100 is an apocalyptic number.

12235144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12235144100 is an abundant number, since it is smaller than the sum of its proper divisors (14378274928).

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

12235144100 is a wasteful number, since it uses less digits than its factorization.

12235144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291056 (or 291049 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12235144100 its reverse (144153221), we get a palindrome (12379297321).

The spelling of 12235144100 in words is "twelve billion, two hundred thirty-five million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 842 1684 2105 4210 8420 10525 21050 42100 290621 581242 1162484 1453105 2906210 5812420 7265525 14531050 29062100 122351441 244702882 489405764 611757205 1223514410 2447028820 3058786025 6117572050 12235144100