Search a number
-
+
23301191199 = 31113231134777
BaseRepresentation
bin10101101100110110…
…111111011000011111
32020010220022011020110
4111230312333120133
5340210101104244
614412053221103
71453265600016
oct255466773037
966126264213
1023301191199
119977a07910
124623631793
1322745b6200
1411b08d1a7d
159159a69b9
hex56cdbf61f

23301191199 has 48 divisors (see below), whose sum is σ = 37884478464. Its totient is φ = 12615033600.

The previous prime is 23301191183. The next prime is 23301191227. The reversal of 23301191199 is 99119110332.

It is not a de Polignac number, because 23301191199 - 24 = 23301191183 is a prime.

It is a super-2 number, since 2×233011911992 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301191129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105499 + ... + 240275.

It is an arithmetic number, because the mean of its divisors is an integer number (789259968).

Almost surely, 223301191199 is an apocalyptic number.

23301191199 is a deficient number, since it is larger than the sum of its proper divisors (14583287265).

23301191199 is a wasteful number, since it uses less digits than its factorization.

23301191199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134848 (or 134835 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The spelling of 23301191199 in words is "twenty-three billion, three hundred one million, one hundred ninety-one thousand, one hundred ninety-nine".

Divisors: 1 3 11 13 31 33 39 93 143 169 341 403 429 507 1023 1209 1859 4433 5239 5577 13299 15717 57629 134777 172887 404331 1482547 1752101 4178087 4447641 5256303 12534261 19273111 22777313 45958957 54315131 57819333 68331939 137876871 162945393 250550443 597466441 706096703 751651329 1792399323 2118290109 7767063733 23301191199