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100131000210 = 23251112566669
BaseRepresentation
bin101110101000001000…
…1011100111110010010
3100120110022010211202100
41131100101130332102
53120032014001320
6113555522501230
710143224313213
oct1352021347622
9316408124670
10100131000210
113951338053a
12174a5804816
1395999b8567
144bbc60140a
1529109b4790
hex175045cf92

100131000210 has 24 divisors (see below), whose sum is σ = 260340600780. Its totient is φ = 26701600032.

The previous prime is 100131000209. The next prime is 100131000251. The reversal of 100131000210 is 12000131001.

It can be written as a sum of positive squares in 2 ways, for example, as 100083016881 + 47983329 = 316359^2 + 6927^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100131000192 and 100131000201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556283245 + ... + 556283424.

Almost surely, 2100131000210 is an apocalyptic number.

100131000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131000210 is an abundant number, since it is smaller than the sum of its proper divisors (160209600570).

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

100131000210 is a wasteful number, since it uses less digits than its factorization.

100131000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112566682 (or 1112566679 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100131000210 its reverse (12000131001), we get a palindrome (112131131211).

The spelling of 100131000210 in words is "one hundred billion, one hundred thirty-one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1112566669 2225133338 3337700007 5562833345 6675400014 10013100021 11125666690 16688500035 20026200042 33377000070 50065500105 100131000210