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10102101220 = 225505105061
BaseRepresentation
bin10010110100010000…
…11101010011100100
3222002000212220200001
421122020131103210
5131142114214340
64350231031044
7505224305101
oct113210352344
928060786601
1010102101220
114314411192
121b5b20b484
13c4cbb84b3
146bb93daa8
153e1d2a29a
hex25a21d4e4

10102101220 has 12 divisors (see below), whose sum is σ = 21214412604. Its totient is φ = 4040840480.

The previous prime is 10102101209. The next prime is 10102101257. The reversal of 10102101220 is 2210120101.

It can be written as a sum of positive squares in 2 ways, for example, as 6833006244 + 3269094976 = 82662^2 + 57176^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102101197 and 10102101206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252552511 + ... + 252552550.

It is an arithmetic number, because the mean of its divisors is an integer number (1767867717).

Almost surely, 210102101220 is an apocalyptic number.

10102101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102101220 is an abundant number, since it is smaller than the sum of its proper divisors (11112311384).

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

10102101220 is a wasteful number, since it uses less digits than its factorization.

10102101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505105070 (or 505105068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102101220 its reverse (2210120101), we get a palindrome (12312221321).

The spelling of 10102101220 in words is "ten billion, one hundred two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 505105061 1010210122 2020420244 2525525305 5051050610 10102101220