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193290331 = 13372511601
BaseRepresentation
bin10111000010101…
…10000001011011
3111110201011111011
423201112001123
5343440242311
631102514351
74534640443
oct1341260133
9443634434
10193290331
119a11a983
12548959b7
13310782a0
141b957123
1511e81321
hexb85605b

193290331 has 16 divisors (see below), whose sum is σ = 214770528. Its totient is φ = 172800000.

The previous prime is 193290283. The next prime is 193290341. The reversal of 193290331 is 133092391.

It is a 11-Lehmer number, since φ(193290331) divides (193290331-1)11.

It is a cyclic number.

It is not a de Polignac number, because 193290331 - 213 = 193282139 is a prime.

It is a super-2 number, since 2×1932903312 = 74722304116179122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193290293 and 193290302.

It is not an unprimeable number, because it can be changed into a prime (193290341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119931 + ... + 121531.

It is an arithmetic number, because the mean of its divisors is an integer number (13423158).

Almost surely, 2193290331 is an apocalyptic number.

193290331 is a deficient number, since it is larger than the sum of its proper divisors (21480197).

193290331 is a wasteful number, since it uses less digits than its factorization.

193290331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 193290331 is about 13902.8893040260. The cubic root of 193290331 is about 578.1892905800.

The spelling of 193290331 in words is "one hundred ninety-three million, two hundred ninety thousand, three hundred thirty-one".

Divisors: 1 13 37 251 481 1601 3263 9287 20813 59237 120731 401851 770081 5224063 14868487 193290331