Search a number
-
+
10120203331220 = 2251357013728861
BaseRepresentation
bin1001001101000100101100…
…0111111110011010010100
31022211111000101000011022202
42103101023013332122110
52311302134023044340
633305053543344032
72063106033660143
oct223211307763224
938744011004282
1010120203331220
113251a54a46974
121175443752018
1358543c4c5208
1426db6b48375a
151283b2baec15
hex9344b1fe694

10120203331220 has 24 divisors (see below), whose sum is σ = 21252589307208. Its totient is φ = 4048050416000.

The previous prime is 10120203331141. The next prime is 10120203331237. The reversal of 10120203331220 is 2213330202101.

10120203331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2597712274564 + 7522491056656 = 1611742^2 + 2742716^2 .

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 = 10120203331192 and 10120203331201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849590 + ... + 4578450.

It is an arithmetic number, because the mean of its divisors is an integer number (885524554467).

Almost surely, 210120203331220 is an apocalyptic number.

10120203331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120203331220 is an abundant number, since it is smaller than the sum of its proper divisors (11132385975988).

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

10120203331220 is a wasteful number, since it uses less digits than its factorization.

10120203331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864571 (or 3864569 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10120203331220 its reverse (2213330202101), we get a palindrome (12333533533321).

The spelling of 10120203331220 in words is "ten trillion, one hundred twenty billion, two hundred three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 135701 271402 542804 678505 1357010 2714020 3728861 7457722 14915444 18644305 37288610 74577220 506010166561 1012020333122 2024040666244 2530050832805 5060101665610 10120203331220