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102020121320 = 23513196192541
BaseRepresentation
bin101111100000011011…
…1111000001011101000
3100202022221212010201212
41133000313320023220
53132414122340240
6114511205132252
710241103503015
oct1370067701350
9322287763655
10102020121320
113a2a2776157
12179323ba088
13980b1b04c0
144d1b47670c
1529c1774165
hex17c0df82e8

102020121320 has 32 divisors (see below), whose sum is σ = 247202602920. Its totient is φ = 37668967680.

The previous prime is 102020121317. The next prime is 102020121331. The reversal of 102020121320 is 23121020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55727156356 + 46292964964 = 236066^2 + 215158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102020121295 and 102020121304.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 98095751 + ... + 98096790.

Almost surely, 2102020121320 is an apocalyptic number.

102020121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020121320 is an abundant number, since it is smaller than the sum of its proper divisors (145182481600).

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

102020121320 is a wasteful number, since it uses less digits than its factorization.

102020121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196192565 (or 196192561 counting only the distinct ones).

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

Adding to 102020121320 its reverse (23121020201), we get a palindrome (125141141521).

The spelling of 102020121320 in words is "one hundred two billion, twenty million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 196192541 392385082 784770164 980962705 1569540328 1961925410 2550503033 3923850820 5101006066 7847701640 10202012132 12752515165 20404024264 25505030330 51010060660 102020121320