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23210103204 = 223645717417
BaseRepresentation
bin10101100111011011…
…100001000110100100
32012220112220102000000
4111213123201012210
5340013241300304
614355041021300
71451111423241
oct254733410644
965815812000
1023210103204
119930553082
1245b9024830
13225b772ca2
1411a27805c8
1590c9b2939
hex5676e11a4

23210103204 has 84 divisors (see below), whose sum is σ = 61035424044. Its totient is φ = 7719328512.

The previous prime is 23210103197. The next prime is 23210103211. The reversal of 23210103204 is 40230101232.

It is an interprime number because it is at equal distance from previous prime (23210103197) and next prime (23210103211).

It can be written as a sum of positive squares in 2 ways, for example, as 21053429604 + 2156673600 = 145098^2 + 46440^2 .

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 27 ways as a sum of consecutive naturals, for example, 1323904 + ... + 1341320.

It is an arithmetic number, because the mean of its divisors is an integer number (726612191).

Almost surely, 223210103204 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 23210103204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30517712022).

23210103204 is an abundant number, since it is smaller than the sum of its proper divisors (37825320840).

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

23210103204 is a wasteful number, since it uses less digits than its factorization.

23210103204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896 (or 17879 counting only the distinct ones).

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

Adding to 23210103204 its reverse (40230101232), we get a palindrome (63440204436).

The spelling of 23210103204 in words is "twenty-three billion, two hundred ten million, one hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 457 486 729 914 972 1371 1458 1828 2742 2916 4113 5484 8226 12339 16452 17417 24678 34834 37017 49356 52251 69668 74034 104502 111051 148068 156753 209004 222102 313506 333153 444204 470259 627012 666306 940518 1332612 1410777 1881036 2821554 4232331 5643108 7959569 8464662 12696993 15919138 16929324 23878707 25393986 31838276 47757414 50787972 71636121 95514828 143272242 214908363 286544484 429816726 644725089 859633452 1289450178 1934175267 2578900356 3868350534 5802525801 7736701068 11605051602 23210103204