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23012303400 = 23325212784613
BaseRepresentation
bin10101011011101000…
…111110001000101000
32012101202201010200100
4111123220332020220
5334112122202100
614323253305400
71443160231362
oct253350761050
965352633610
1023012303400
119839933169
124562935260
1322297a9298
1411843b1d32
158ea440400
hex55ba3e228

23012303400 has 72 divisors (see below), whose sum is σ = 77282991630. Its totient is φ = 6136613760.

The previous prime is 23012303399. The next prime is 23012303407. The reversal of 23012303400 is 430321032.

23012303400 is a `hidden beast` number, since 2 + 30 + 1 + 230 + 3 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16454219076 + 6558084324 = 128274^2 + 80982^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×230123034003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23012303407) 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 17 ways as a sum of consecutive naturals, for example, 6390507 + ... + 6394106.

Almost surely, 223012303400 is an apocalyptic number.

23012303400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23012303400 is an abundant number, since it is smaller than the sum of its proper divisors (54270688230).

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

23012303400 is a wasteful number, since it uses less digits than its factorization.

23012303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784635 (or 12784623 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23012303400 its reverse (430321032), we get a palindrome (23442624432).

The spelling of 23012303400 in words is "twenty-three billion, twelve million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12784613 25569226 38353839 51138452 63923065 76707678 102276904 115061517 127846130 153415356 191769195 230123034 255692260 306830712 319615325 383538390 460246068 511384520 575307585 639230650 767076780 920492136 958845975 1150615170 1278461300 1534153560 1917691950 2301230340 2556922600 2876537925 3835383900 4602460680 5753075850 7670767800 11506151700 23012303400