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1010014120 = 23546154773
BaseRepresentation
bin111100001100111…
…001011110101000
32121101112000220101
4330030321132220
54032030422440
6244120035144
734012656403
oct7414713650
92541460811
101010014120
11479143615
12242302ab4
131313352bb
14981d6d3a
155da0d69a
hex3c3397a8

1010014120 has 32 divisors (see below), whose sum is σ = 2277502920. Its totient is φ = 403121920.

The previous prime is 1010014099. The next prime is 1010014129. The reversal of 1010014120 is 214100101.

It can be written as a sum of positive squares in 4 ways, for example, as 944824644 + 65189476 = 30738^2 + 8074^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010014097 and 1010014106.

It is not an unprimeable number, because it can be changed into a prime (1010014129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8947 + ... + 45826.

Almost surely, 21010014120 is an apocalyptic number.

1010014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010014120 is an abundant number, since it is smaller than the sum of its proper divisors (1267488800).

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

1010014120 is a wasteful number, since it uses less digits than its factorization.

1010014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55245 (or 55241 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010014120 is about 31780.7193121868. The cubic root of 1010014120 is about 1003.3269590684.

Adding to 1010014120 its reverse (214100101), we get a palindrome (1224114221).

The spelling of 1010014120 in words is "one billion, ten million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 461 922 1844 2305 3688 4610 9220 18440 54773 109546 219092 273865 438184 547730 1095460 2190920 25250353 50500706 101001412 126251765 202002824 252503530 505007060 1010014120