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2113428128 = 25729325343
BaseRepresentation
bin111110111111000…
…0101101010100000
312110021210021100212
41331332011222200
513312014200003
6545414033252
7103241562020
oct17576055240
95407707325
102113428128
11994a7a919
124ab948828
13278b0cbb6
14160983a80
15c581add8
hex7df85aa0

2113428128 has 48 divisors (see below), whose sum is σ = 4919201280. Its totient is φ = 874519296.

The previous prime is 2113428127. The next prime is 2113428133. The reversal of 2113428128 is 8218243112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2113428094 and 2113428103.

It is not an unprimeable number, because it can be changed into a prime (2113428127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156176 + ... + 169167.

It is an arithmetic number, because the mean of its divisors is an integer number (102483360).

Almost surely, 22113428128 is an apocalyptic number.

2113428128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2113428128 is an abundant number, since it is smaller than the sum of its proper divisors (2805773152).

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

2113428128 is a wasteful number, since it uses less digits than its factorization.

2113428128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325389 (or 325381 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 2113428128 is about 45972.0363699499. The cubic root of 2113428128 is about 1283.3028568389.

The spelling of 2113428128 in words is "two billion, one hundred thirteen million, four hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 325343 650686 1301372 2277401 2602744 4554802 5205488 9109604 9434947 10410976 18219208 18869894 36438416 37739788 66044629 72876832 75479576 132089258 150959152 264178516 301918304 528357032 1056714064 2113428128