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12230133100 = 2252436742451
BaseRepresentation
bin10110110001111100…
…10000010101101100
31011120100011010121121
423120332100111230
5200021403224400
65341330110324
7612034262503
oct133076202554
934510133547
1012230133100
115206656019
122453a1b3a4
1311cba3c563
1484040583a
154b8a7d21a
hex2d8f9056c

12230133100 has 72 divisors (see below), whose sum is σ = 27562555328. Its totient is φ = 4706856000.

The previous prime is 12230133079. The next prime is 12230133119. The reversal of 12230133100 is 133103221.

12230133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122301331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266875 + ... + 309325.

Almost surely, 212230133100 is an apocalyptic number.

12230133100 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 12230133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781277664).

12230133100 is an abundant number, since it is smaller than the sum of its proper divisors (15332422228).

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

12230133100 is a wasteful number, since it uses less digits than its factorization.

12230133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42575 (or 42568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12230133100 its reverse (133103221), we get a palindrome (12363236321).

The spelling of 12230133100 in words is "twelve billion, two hundred thirty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 67 86 100 134 172 215 268 335 430 670 860 1075 1340 1675 2150 2881 3350 4300 5762 6700 11524 14405 28810 42451 57620 72025 84902 144050 169804 212255 288100 424510 849020 1061275 1825393 2122550 2844217 3650786 4245100 5688434 7301572 9126965 11376868 14221085 18253930 28442170 36507860 45634825 56884340 71105425 91269650 122301331 142210850 182539300 244602662 284421700 489205324 611506655 1223013310 2446026620 3057533275 6115066550 12230133100