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10120321220 = 2251363337117
BaseRepresentation
bin10010110110011011…
…11101100011000100
3222010022011120210212
421123031331203010
5131211300234340
64352121334552
7505535211452
oct113315754304
928108146725
1010120321220
114323726139
121b65337458
13c538c7669
146c01239d2
153e3728a65
hex25b37d8c4

10120321220 has 24 divisors (see below), whose sum is σ = 21254806104. Its totient is φ = 4047722496.

The previous prime is 10120321219. The next prime is 10120321229. The reversal of 10120321220 is 2212302101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2083557316 + 8036763904 = 45646^2 + 89648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10120321195 and 10120321204.

It is not an unprimeable number, because it can be changed into a prime (10120321229) 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, 254102 + ... + 291218.

It is an arithmetic number, because the mean of its divisors is an integer number (885616921).

Almost surely, 210120321220 is an apocalyptic number.

10120321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120321220 is an abundant number, since it is smaller than the sum of its proper divisors (11134484884).

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

10120321220 is a wasteful number, since it uses less digits than its factorization.

10120321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50759 (or 50757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10120321220 its reverse (2212302101), we get a palindrome (12332623321).

The spelling of 10120321220 in words is "ten billion, one hundred twenty million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 13633 27266 37117 54532 68165 74234 136330 148468 185585 272660 371170 742340 506016061 1012032122 2024064244 2530080305 5060160610 10120321220