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2123605146 = 2313235711551
BaseRepresentation
bin111111010010011…
…1010010010011010
312110222221022121110
41332210322102122
513322120331041
6550420121150
7103424226435
oct17644722232
95428838543
102123605146
1199a7a0a83
124b32361b6
1327ac641c0
1416207281c
15c667b516
hex7e93a49a

2123605146 has 32 divisors (see below), whose sum is σ = 4576255488. Its totient is φ = 653083200.

The previous prime is 2123605123. The next prime is 2123605151. The reversal of 2123605146 is 6415063212.

It is a super-2 number, since 2×21236051462 = 9019397632235362632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178071 + ... + 189621.

It is an arithmetic number, because the mean of its divisors is an integer number (143007984).

Almost surely, 22123605146 is an apocalyptic number.

2123605146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2123605146 is an abundant number, since it is smaller than the sum of its proper divisors (2452650342).

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

2123605146 is a wasteful number, since it uses less digits than its factorization.

2123605146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2123605146 is about 46082.5904870809. The cubic root of 2123605146 is about 1285.3594347456.

Adding to 2123605146 its reverse (6415063212), we get a palindrome (8538668358).

The spelling of 2123605146 in words is "two billion, one hundred twenty-three million, six hundred five thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 2357 4714 7071 11551 14142 23102 30641 34653 61282 69306 91923 150163 183846 300326 450489 900978 27225707 54451414 81677121 163354242 353934191 707868382 1061802573 2123605146