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30112334332300 = 225211191981372719
BaseRepresentation
bin1101101100011000100101…
…11111011100000110001100
310221121201012100120002210001
412312030102333130012030
512421330030042113200
6144013225421454044
76225354500432203
oct666142277340614
9127551170502701
1030112334332300
11965a629781610
123463b7ba11324
1313a577244216c
147616325b823a
15373456cc576a
hex1b6312fdc18c

30112334332300 has 144 divisors (see below), whose sum is σ = 75040722086400. Its totient is φ = 10372960915200.

The previous prime is 30112334332277. The next prime is 30112334332337. The reversal of 30112334332300 is 323343321103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414055341 + ... + 414128059.

It is an arithmetic number, because the mean of its divisors is an integer number (521116125600).

Almost surely, 230112334332300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112334332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37520361043200).

30112334332300 is an abundant number, since it is smaller than the sum of its proper divisors (44928387754100).

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

30112334332300 is a wasteful number, since it uses less digits than its factorization.

30112334332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92576 (or 92569 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 30112334332300 its reverse (323343321103), we get a palindrome (30435677653403).

The spelling of 30112334332300 in words is "thirty trillion, one hundred twelve billion, three hundred thirty-four million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 19813 20900 39626 72719 79252 99065 145438 198130 217943 290876 363595 376447 396260 435886 495325 727190 752894 799909 871772 990650 1089715 1381661 1454380 1505788 1599818 1817975 1882235 1981300 2179430 2763322 3199636 3635950 3764470 3999545 4140917 4358860 5448575 5526644 6908305 7271900 7528940 7999090 8281834 9411175 10897150 13816610 15198271 15998180 16563668 18822350 19997725 20704585 21794300 27633220 30396542 34541525 37644700 39995450 41409170 60793084 69083050 75991355 79990900 82818340 103522925 138166100 151982710 207045850 303965420 379956775 414091700 759913550 1440781547 1519827100 2881563094 5763126188 7203907735 14407815470 15848597017 27374849393 28815630940 31697194034 36019538675 54749698786 63394388068 72039077350 79242985085 109499397572 136874246965 144078154700 158485970170 273748493930 301123343323 316971940340 396214925425 547496987860 602246686646 684371234825 792429850850 1204493373292 1368742469650 1505616716615 1584859701700 2737484939300 3011233433230 6022466866460 7528083583075 15056167166150 30112334332300