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230013045000 = 2332545111401
BaseRepresentation
bin1101011000110111011…
…0001000100100001000
3210222201000010100020200
43112031312020210020
512232031314420000
6253355545452200
722421636423634
oct3261566104410
9728630110220
10230013045000
1189603405122
12386b2aa1060
13188c8300abb
14b1c0163dc4
155eb32c8500
hex358dd88908

230013045000 has 120 divisors (see below), whose sum is σ = 778440967590. Its totient is φ = 61336800000.

The previous prime is 230013044999. The next prime is 230013045007. The reversal of 230013045000 is 540310032.

230013045000 is a `hidden beast` number, since 2 + 30 + 0 + 130 + 4 + 500 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 3347548164 + 226665496836 = 57858^2 + 476094^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (230013045007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2510701 + ... + 2600700.

Almost surely, 2230013045000 is an apocalyptic number.

230013045000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013045000 is an abundant number, since it is smaller than the sum of its proper divisors (548427922590).

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

230013045000 is a wasteful number, since it uses less digits than its factorization.

230013045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111433 (or 5111411 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 230013045000 its reverse (540310032), we get a palindrome (230553355032).

The spelling of 230013045000 in words is "two hundred thirty billion, thirteen million, forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 5111401 10222802 15334203 20445604 25557005 30668406 40891208 46002609 51114010 61336812 76671015 92005218 102228020 122673624 127785025 153342030 184010436 204456040 230013045 255570050 306684060 368020872 383355075 460026090 511140100 613368120 638925125 766710150 920052180 1022280200 1150065225 1277850250 1533420300 1840104360 1916775375 2300130450 2555700500 3066840600 3194625625 3833550750 4600260900 5111401000 5750326125 6389251250 7667101500 9200521800 9583876875 11500652250 12778502500 15334203000 19167753750 23001304500 25557005000 28751630625 38335507500 46002609000 57503261250 76671015000 115006522500 230013045000