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230104010340 = 223251775197389
BaseRepresentation
bin1101011001001101000…
…1001000111001100100
3210222221100021212020100
43112103101020321210
512232223111312330
6253412555304100
722424122550001
oct3262321107144
9728840255210
10230104010340
118964a795796
123871944b030
1318911100249
14b1cc2828a8
155ebb296060
hex3593448e64

230104010340 has 72 divisors (see below), whose sum is σ = 739039948920. Its totient is φ = 57751593984.

The previous prime is 230104010309. The next prime is 230104010371. The reversal of 230104010340 is 43010401032.

230104010340 is a `hidden beast` number, since 230 + 1 + 0 + 401 + 0 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230104010309) and next prime (230104010371).

It can be written as a sum of positive squares in 4 ways, for example, as 3792589056 + 226311421284 = 61584^2 + 475722^2 .

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

It is an unprimeable number.

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, 37595635 + ... + 37601754.

It is an arithmetic number, because the mean of its divisors is an integer number (10264443735).

Almost surely, 2230104010340 is an apocalyptic number.

230104010340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230104010340 is an abundant number, since it is smaller than the sum of its proper divisors (508935938580).

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

230104010340 is a wasteful number, since it uses less digits than its factorization.

230104010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75197421 (or 75197416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230104010340 its reverse (43010401032), we get a palindrome (273114411372).

The spelling of 230104010340 in words is "two hundred thirty billion, one hundred four million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 75197389 150394778 225592167 300789556 375986945 451184334 676776501 751973890 902368668 1127960835 1278355613 1353553002 1503947780 2255921670 2556711226 2707106004 3383882505 3835066839 4511843340 5113422452 6391778065 6767765010 7670133678 11505200517 12783556130 13535530020 15340267356 19175334195 23010401034 25567112260 38350668390 46020802068 57526002585 76701336780 115052005170 230104010340