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2105137034 = 2711131955343
BaseRepresentation
bin111110101111001…
…1101011110001010
312102201012001010022
41331132131132022
513302403341114
6544520220442
7103111240520
oct17536353612
95381161108
102105137034
11990327680
124a900a722
13277199120
1415d826310
15c4c2e48e
hex7d79d78a

2105137034 has 64 divisors (see below), whose sum is σ = 4462940160. Its totient is φ = 717232320.

The previous prime is 2105137019. The next prime is 2105137039. The reversal of 2105137034 is 4307315012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2105136994 and 2105137012.

It is not an unprimeable number, because it can be changed into a prime (2105137039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10367 + ... + 65709.

It is an arithmetic number, because the mean of its divisors is an integer number (69733440).

Almost surely, 22105137034 is an apocalyptic number.

2105137034 is an abundant number, since it is smaller than the sum of its proper divisors (2357803126).

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

2105137034 is a wasteful number, since it uses less digits than its factorization.

2105137034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55395.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2105137034 is about 45881.7723502482. The cubic root of 2105137034 is about 1281.6225018071.

It can be divided in two parts, 21051 and 37034, that added together give a palindrome (58085).

The spelling of 2105137034 in words is "two billion, one hundred five million, one hundred thirty-seven thousand, thirty-four".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 19019 38038 55343 110686 387401 608773 719459 774802 1051517 1217546 1438918 2103034 4261411 5036213 7360619 7914049 8522822 10072426 11566687 13669721 14721238 15828098 23133374 27339442 55398343 80966809 95688047 110796686 150366931 161933618 191376094 300733862 1052568517 2105137034