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23330004100 = 22521329618833
BaseRepresentation
bin10101101110100100…
…111001110010000100
32020012220112000002221
4111232210321302010
5340234440112400
614415002542124
71454065522444
oct255644716204
966186460087
1023330004100
1199921a7427
124631207944
13227a563a70
1411b4672124
15918298c1a
hex56e939c84

23330004100 has 72 divisors (see below), whose sum is σ = 56400530760. Its totient is φ = 8317102080.

The previous prime is 23330004073. The next prime is 23330004101. The reversal of 23330004100 is 140003332.

It can be written as a sum of positive squares in 12 ways, for example, as 16395778116 + 6934225984 = 128046^2 + 83272^2 .

It is not an unprimeable number, because it can be changed into a prime (23330004101) by changing a digit.

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, 271717 + ... + 347116.

It is an arithmetic number, because the mean of its divisors is an integer number (783340705).

Almost surely, 223330004100 is an apocalyptic number.

23330004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23330004100 is an abundant number, since it is smaller than the sum of its proper divisors (33070526660).

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

23330004100 is a wasteful number, since it uses less digits than its factorization.

23330004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618889 (or 618882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23330004100 its reverse (140003332), we get a palindrome (23470007432).

The spelling of 23330004100 in words is "twenty-three billion, three hundred thirty million, four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 37700 618833 1237666 2475332 3094165 6188330 8044829 12376660 15470825 16089658 17946157 30941650 32179316 35892314 40224145 61883300 71784628 80448290 89730785 160896580 179461570 201120725 233300041 358923140 402241450 448653925 466600082 804482900 897307850 933200164 1166500205 1794615700 2333000410 4666000820 5832501025 11665002050 23330004100