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12133022300 = 2252722719137
BaseRepresentation
bin10110100110010111…
…10011101001011100
31011022120102101122022
423103023303221130
5144322023203200
65323540435312
7606444662600
oct132313635134
934276371568
1012133022300
115166858263
1224273a8b38
1311b489ab49
14831567500
154b0299885
hex2d32f3a5c

12133022300 has 108 divisors (see below), whose sum is σ = 30743594784. Its totient is φ = 4144089600.

The previous prime is 12133022273. The next prime is 12133022303. The reversal of 12133022300 is 322033121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133022303) 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 35 ways as a sum of consecutive naturals, for example, 1323332 + ... + 1332468.

Almost surely, 212133022300 is an apocalyptic number.

12133022300 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 12133022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371797392).

12133022300 is an abundant number, since it is smaller than the sum of its proper divisors (18610572484).

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

12133022300 is a wasteful number, since it uses less digits than its factorization.

12133022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12133022300 its reverse (322033121), we get a palindrome (12455055421).

The spelling of 12133022300 in words is "twelve billion, one hundred thirty-three million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 271 350 490 542 700 980 1084 1225 1355 1897 2450 2710 3794 4900 5420 6775 7588 9137 9485 13279 13550 18274 18970 26558 27100 36548 37940 45685 47425 53116 63959 66395 91370 94850 127918 132790 182740 189700 228425 255836 265580 319795 331975 447713 456850 639590 663950 895426 913700 1279180 1327900 1598975 1790852 2238565 2476127 3197950 4477130 4952254 6395900 8954260 9904508 11192825 12380635 17332889 22385650 24761270 34665778 44771300 49522540 61903175 69331556 86664445 121330223 123806350 173328890 242660446 247612700 346657780 433322225 485320892 606651115 866644450 1213302230 1733288900 2426604460 3033255575 6066511150 12133022300