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1014052100 = 225210140521
BaseRepresentation
bin111100011100010…
…011010100000100
32121200010011222012
4330130103110010
54034044131400
6244342353352
734062205055
oct7434232404
92550104865
101014052100
11480451396
1224372b858
1313211a239
149896872c
155e059d35
hex3c713504

1014052100 has 18 divisors (see below), whose sum is σ = 2200493274. Its totient is φ = 405620800.

The previous prime is 1014052093. The next prime is 1014052111. The reversal of 1014052100 is 12504101.

It can be written as a sum of positive squares in 3 ways, for example, as 110208004 + 903844096 = 10498^2 + 30064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5070161 + ... + 5070360.

Almost surely, 21014052100 is an apocalyptic number.

1014052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014052100 is an abundant number, since it is smaller than the sum of its proper divisors (1186441174).

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

1014052100 is a wasteful number, since it uses less digits than its factorization.

1014052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140535 (or 10140528 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1014052100 is about 31844.1847124400. The cubic root of 1014052100 is about 1004.6622628577.

Adding to 1014052100 its reverse (12504101), we get a palindrome (1026556201).

The spelling of 1014052100 in words is "one billion, fourteen million, fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10140521 20281042 40562084 50702605 101405210 202810420 253513025 507026050 1014052100