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100031103330130 = 2572204145108837
BaseRepresentation
bin10110101111101001001110…
…011000010110011101010010
3111010011212202120201102001201
4112233221032120112131102
5101102402144423031010
6552425353211021414
730033002664114100
oct2657511630263522
9433155676642051
10100031103330130
1129966a5302a495
12b27684613a86a
1343a7b7ac866bb
141a9b7619c4c70
15b8708a1db23a
hex5afa4e616752

100031103330130 has 24 divisors (see below), whose sum is σ = 209452881667788. Its totient is φ = 34296378284448.

The previous prime is 100031103330079. The next prime is 100031103330131. The reversal of 100031103330130 is 31033301130001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99382097469249 + 649005860881 = 9969057^2 + 805609^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100031103330098 and 100031103330107.

It is not an unprimeable number, because it can be changed into a prime (100031103330131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102072553929 + ... + 102072554908.

Almost surely, 2100031103330130 is an apocalyptic number.

100031103330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100031103330130 is an abundant number, since it is smaller than the sum of its proper divisors (109421778337658).

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

100031103330130 is a wasteful number, since it uses less digits than its factorization.

100031103330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204145108858 (or 204145108851 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100031103330130 its reverse (31033301130001), we get a palindrome (131064404460131).

The spelling of 100031103330130 in words is "one hundred trillion, thirty-one billion, one hundred three million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 204145108837 408290217674 1020725544185 1429015761859 2041451088370 2858031523718 7145078809295 10003110333013 14290157618590 20006220666026 50015551665065 100031103330130