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12023013300 = 22352143327967
BaseRepresentation
bin10110011001010000…
…01001111110110100
31011000220102100122220
423030220021332310
5144110342411200
65305010522340
7603640632624
oct131450117664
934026370586
1012023013300
11510a74a931
1223b65963b0
131197b6166c
14820acc884
154a57b94a0
hex2cca09fb4

12023013300 has 72 divisors (see below), whose sum is σ = 34812105216. Its totient is φ = 3203784960.

The previous prime is 12023013283. The next prime is 12023013311. The reversal of 12023013300 is 331032021.

12023013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12023013300.

It is a congruent number.

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, 415917 + ... + 443883.

Almost surely, 212023013300 is an apocalyptic number.

12023013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023013300 is an abundant number, since it is smaller than the sum of its proper divisors (22789091916).

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

12023013300 is a wasteful number, since it uses less digits than its factorization.

12023013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29417 (or 29410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12023013300 its reverse (331032021), we get a palindrome (12354045321).

The spelling of 12023013300 in words is "twelve billion, twenty-three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1433 2866 4299 5732 7165 8598 14330 17196 21495 27967 28660 35825 42990 55934 71650 83901 85980 107475 111868 139835 143300 167802 214950 279670 335604 419505 429900 559340 699175 839010 1398350 1678020 2097525 2796700 4195050 8390100 40076711 80153422 120230133 160306844 200383555 240460266 400767110 480920532 601150665 801534220 1001917775 1202301330 2003835550 2404602660 3005753325 4007671100 6011506650 12023013300