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10220001320 = 2351092344037
BaseRepresentation
bin10011000010010100…
…01101100000101000
3222101020201212012102
421201022031200220
5131412310020240
64410042032532
7511155402134
oct114112154050
928336655172
1010220001320
114374a19291
121b927a8748
13c6b458679
146cd4703c4
153ec368815
hex26128d828

10220001320 has 32 divisors (see below), whose sum is σ = 23205976200. Its totient is φ = 4050494208.

The previous prime is 10220001301. The next prime is 10220001329. The reversal of 10220001320 is 2310002201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7707786436 + 2512214884 = 87794^2 + 50122^2 .

It is not an unprimeable number, because it can be changed into a prime (10220001329) 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, 1167659 + ... + 1176378.

Almost surely, 210220001320 is an apocalyptic number.

10220001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220001320 is an abundant number, since it is smaller than the sum of its proper divisors (12985974880).

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

10220001320 is a wasteful number, since it uses less digits than its factorization.

10220001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344157 (or 2344153 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10220001320 its reverse (2310002201), we get a palindrome (12530003521).

The spelling of 10220001320 in words is "ten billion, two hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 2344037 4688074 9376148 11720185 18752296 23440370 46880740 93761480 255500033 511000066 1022000132 1277500165 2044000264 2555000330 5110000660 10220001320