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10120354000 = 24535060177
BaseRepresentation
bin10010110110011100…
…00101100011010000
3222010022020020202221
421123032011203100
5131211302312000
64352122150424
7505535406151
oct113316054320
928108206687
1010120354000
114323748829
121b65352414
13c53909563
146c0131928
153e373361a
hex25b3858d0

10120354000 has 40 divisors (see below), whose sum is σ = 24471020808. Its totient is φ = 4048140800.

The previous prime is 10120353973. The next prime is 10120354003. The reversal of 10120354000 is 45302101.

It can be written as a sum of positive squares in 4 ways, for example, as 1687237776 + 8433116224 = 41076^2 + 91832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120354003) 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, 2528089 + ... + 2532088.

Almost surely, 210120354000 is an apocalyptic number.

10120354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120354000 is an abundant number, since it is smaller than the sum of its proper divisors (14350666808).

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

10120354000 is an equidigital number, since it uses as much as digits as its factorization.

10120354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060200 (or 5060184 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10120354000 its reverse (45302101), we get a palindrome (10165656101).

The spelling of 10120354000 in words is "ten billion, one hundred twenty million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5060177 10120354 20240708 25300885 40481416 50601770 80962832 101203540 126504425 202407080 253008850 404814160 506017700 632522125 1012035400 1265044250 2024070800 2530088500 5060177000 10120354000