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193910431 = 11132104309
BaseRepresentation
bin10111000111011…
…01011010011111
3111111212200002211
423203231122133
5344120113211
631124101251
74543132351
oct1343553237
9444780084
10193910431
119a503860
1254b34827
1331234600
141ba790d1
1512054e21
hexb8ed69f

193910431 has 12 divisors (see below), whose sum is σ = 229064760. Its totient is φ = 162720480.

The previous prime is 193910417. The next prime is 193910461. The reversal of 193910431 is 134019391.

It is not a de Polignac number, because 193910431 - 211 = 193908383 is a prime.

It is a super-2 number, since 2×1939104312 = 75202510501211522, 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 = 193910393 and 193910402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193910461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50296 + ... + 54013.

It is an arithmetic number, because the mean of its divisors is an integer number (19088730).

Almost surely, 2193910431 is an apocalyptic number.

193910431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

193910431 is a deficient number, since it is larger than the sum of its proper divisors (35154329).

193910431 is a wasteful number, since it uses less digits than its factorization.

193910431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104346 (or 104333 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 193910431 is about 13925.1725662557. The cubic root of 193910431 is about 578.8069321873.

Subtracting from 193910431 its reverse (134019391), we obtain a triangular number (59891040 = T10944).

The spelling of 193910431 in words is "one hundred ninety-three million, nine hundred ten thousand, four hundred thirty-one".

Divisors: 1 11 13 143 169 1859 104309 1147399 1356017 14916187 17628221 193910431