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193090131 = 321317193503
BaseRepresentation
bin10111000001001…
…01001001010011
3111110022222212100
423200211021103
5343412341011
631054331443
74533144663
oct1340451123
9443288770
10193090131
1199aa3523
12547b9b83
1331008120
141b9041a3
1511e41d56
hexb825253

193090131 has 48 divisors (see below), whose sum is σ = 320314176. Its totient is φ = 111034368.

The previous prime is 193090123. The next prime is 193090133. The reversal of 193090131 is 131090391.

It is not a de Polignac number, because 193090131 - 23 = 193090123 is a prime.

It is a super-2 number, since 2×1930901312 = 74567597379194322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193090095 and 193090104.

It is not an unprimeable number, because it can be changed into a prime (193090133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383626 + ... + 384128.

It is an arithmetic number, because the mean of its divisors is an integer number (6673212).

Almost surely, 2193090131 is an apocalyptic number.

193090131 is a deficient number, since it is larger than the sum of its proper divisors (127224045).

193090131 is a wasteful number, since it uses less digits than its factorization.

193090131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 193090131 is about 13895.6874964861. The cubic root of 193090131 is about 577.9896022283.

The spelling of 193090131 in words is "one hundred ninety-three million, ninety thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 39 51 117 153 193 221 503 579 663 1509 1737 1989 2509 3281 4527 6539 7527 8551 9843 19617 22581 25653 29529 42653 58851 76959 97079 111163 127959 291237 333489 383877 873711 1000467 1262027 1650343 3786081 4951029 11358243 14853087 21454459 64363377 193090131