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10120541420 = 22511232000107
BaseRepresentation
bin10010110110011101…
…10011010011101100
3222010022120202212102
421123032303103230
5131211324311140
64352130154232
7505540116443
oct113316632354
928108522772
1010120541420
114323866620
121b65422978
13c53973962
146c017dd5a
153e376de15
hex25b3b34ec

10120541420 has 48 divisors (see below), whose sum is σ = 24193306368. Its totient is φ = 3520186560.

The previous prime is 10120541413. The next prime is 10120541429. The reversal of 10120541420 is 2414502101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10120541392 and 10120541401.

It is not an unprimeable number, because it can be changed into a prime (10120541429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994994 + ... + 1005113.

It is an arithmetic number, because the mean of its divisors is an integer number (504027216).

Almost surely, 210120541420 is an apocalyptic number.

10120541420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120541420 is an abundant number, since it is smaller than the sum of its proper divisors (14072764948).

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

10120541420 is a wasteful number, since it uses less digits than its factorization.

10120541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000150 (or 2000148 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 10120541420 in words is "ten billion, one hundred twenty million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 2000107 4000214 8000428 10000535 20001070 22001177 40002140 44002354 46002461 88004708 92004922 110005885 184009844 220011770 230012305 440023540 460024610 506027071 920049220 1012054142 2024108284 2530135355 5060270710 10120541420