Search a number
-
+
233100000012 = 2231117354718661
BaseRepresentation
bin1101100100010111010…
…1111011101100001100
3211021200010202220102210
43121011311323230030
512304342100000022
6255030141550420
722561302210525
oct3310565735414
9737603686383
10233100000012
118a947967110
1239214875410
1318c9aa0c2b9
14b3d412384c
1560e42e6a0c
hex3645d7bb0c

233100000012 has 96 divisors (see below), whose sum is σ = 597898232064. Its totient is φ = 70095916800.

The previous prime is 233099999999. The next prime is 233100000013. The reversal of 233100000012 is 210000001332.

It is a happy number.

It is a super-2 number, since 2×2331000000122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (233100000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12481962 + ... + 12500622.

It is an arithmetic number, because the mean of its divisors is an integer number (6228106584).

Almost surely, 2233100000012 is an apocalyptic number.

233100000012 is a gapful number since it is divisible by the number (22) 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 233100000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298949116032).

233100000012 is an abundant number, since it is smaller than the sum of its proper divisors (364798232052).

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

233100000012 is a wasteful number, since it uses less digits than its factorization.

233100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19399 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 233100000012 its reverse (210000001332), we get a palindrome (443100001344).

The spelling of 233100000012 in words is "two hundred thirty-three billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 547 692 1038 1094 1641 1903 2076 2188 3282 3806 5709 6017 6564 7612 11418 12034 18051 18661 22836 24068 36102 37322 55983 72204 74644 94631 111966 189262 205271 223932 283893 378524 410542 567786 615813 821084 1040941 1135572 1231626 2081882 2463252 3122823 3228353 4163764 6245646 6456706 9685059 10207567 12491292 12913412 19370118 20415134 30622701 35511883 38740236 40830268 61245402 71023766 106535649 112283237 122490804 142047532 213071298 224566474 336849711 426142596 449132948 673699422 1347398844 1765909091 3531818182 5297727273 7063636364 10595454546 19425000001 21190909092 38850000002 58275000003 77700000004 116550000006 233100000012