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2113123309 = 11229602201
BaseRepresentation
bin111110111110011…
…1011001111101101
312110021012210020021
41331330323033231
513311424421214
6545403322141
7103236152233
oct17574731755
95407183207
102113123309
11994891900
124ab820351
13278a3422b
14160904953
15c57aa924
hex7df3b3ed

2113123309 has 12 divisors (see below), whose sum is σ = 2402785980. Its totient is φ = 1854776000.

The previous prime is 2113123297. The next prime is 2113123319. The reversal of 2113123309 is 9033213112.

It can be written as a sum of positive squares in 2 ways, for example, as 1812204900 + 300918409 = 42570^2 + 17347^2 .

It is not a de Polignac number, because 2113123309 - 211 = 2113121261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113123319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297592 + ... + 304609.

It is an arithmetic number, because the mean of its divisors is an integer number (200232165).

Almost surely, 22113123309 is an apocalyptic number.

2113123309 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2113123309 is a deficient number, since it is larger than the sum of its proper divisors (289662671).

2113123309 is a wasteful number, since it uses less digits than its factorization.

2113123309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602252 (or 602241 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 2113123309 is about 45968.7209850350. The cubic root of 2113123309 is about 1283.2411570984.

The spelling of 2113123309 in words is "two billion, one hundred thirteen million, one hundred twenty-three thousand, three hundred nine".

Divisors: 1 11 29 121 319 3509 602201 6624211 17463829 72866321 192102119 2113123309