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100031221010 = 2572204145349
BaseRepresentation
bin101110100101001010…
…0110100110100010010
3100120012100101112102102
41131022110310310102
53114330443033020
6113542000120402
710140603230600
oct1351224646422
9316170345372
10100031221010
113947201a996
1217478306102
139582121406
144bad26a870
152906d55475
hex174a534d12

100031221010 has 24 divisors (see below), whose sum is σ = 209453129100. Its totient is φ = 34296418464.

The previous prime is 100031220979. The next prime is 100031221051. The reversal of 100031221010 is 10122130001.

It can be written as a sum of positive squares in 2 ways, for example, as 96853531369 + 3177689641 = 311213^2 + 56371^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100031220982 and 100031221000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102072185 + ... + 102073164.

Almost surely, 2100031221010 is an apocalyptic number.

100031221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100031221010 is an abundant number, since it is smaller than the sum of its proper divisors (109421908090).

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

100031221010 is a wasteful number, since it uses less digits than its factorization.

100031221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204145370 (or 204145363 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100031221010 its reverse (10122130001), we get a palindrome (110153351011).

The spelling of 100031221010 in words is "one hundred billion, thirty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 204145349 408290698 1020726745 1429017443 2041453490 2858034886 7145087215 10003122101 14290174430 20006244202 50015610505 100031221010