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1310804360190 = 2325133743704177
BaseRepresentation
bin10011000100110010000…
…001110011101111111110
311122022102012122211002200
4103010302001303233332
5132434011404011230
62442101502332330
7163462645136643
oct23046201635776
94568365584080
101310804360190
114659aa985996
1219206188a0a6
13967ba633290
144762c48ddca
152416c71c160
hex13132073bfe

1310804360190 has 192 divisors, whose sum is σ = 3857115278016. Its totient is φ = 306637664256.

The previous prime is 1310804360171. The next prime is 1310804360213. The reversal of 1310804360190 is 910634080131.

1310804360190 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 8 + 0 + 43 + 601 + 9 + 0 = 666.

It is a super-2 number, since 2×13108043601902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509382 + ... + 2213558.

It is an arithmetic number, because the mean of its divisors is an integer number (20089142073).

Almost surely, 21310804360190 is an apocalyptic number.

1310804360190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310804360190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928557639008).

1310804360190 is an abundant number, since it is smaller than the sum of its proper divisors (2546310917826).

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

1310804360190 is a wasteful number, since it uses less digits than its factorization.

1310804360190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704283 (or 704280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1310804360190 in words is "one trillion, three hundred ten billion, eight hundred four million, three hundred sixty thousand, one hundred ninety".