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100112233130010 = 232510111013446989
BaseRepresentation
bin10110110000110100110010…
…000101111110100000011010
3111010110122011122202021010200
4112300310302011332200122
5101110214323140130020
6552530531444123030
730041604315044643
oct2660646205764032
9433418148667120
10100112233130010
11299983a5754982
12b28a508396476
1343b270a1a404a
141aa165a8186ca
15b8923797a590
hex5b0d3217e81a

100112233130010 has 48 divisors (see below), whose sum is σ = 262868952757320. Its totient is φ = 26432272771200.

The previous prime is 100112233129973. The next prime is 100112233130071. The reversal of 100112233130010 is 10031332211001.

100112233130010 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 22 + 331 + 300 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99818142755409 + 294090374601 = 9990903^2 + 542301^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506714405 + ... + 5506732584.

Almost surely, 2100112233130010 is an apocalyptic number.

100112233130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112233130010 is an abundant number, since it is smaller than the sum of its proper divisors (162756719627310).

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

100112233130010 is a wasteful number, since it uses less digits than its factorization.

100112233130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013447103 (or 11013447100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100112233130010 its reverse (10031332211001), we get a palindrome (110143565341011).

The spelling of 100112233130010 in words is "one hundred trillion, one hundred twelve billion, two hundred thirty-three million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 11013446989 22026893978 33040340967 55067234945 66080681934 99121022901 110134469890 165201704835 198242045802 330403409670 495605114505 991210229010 1112358145889 2224716291778 3337074437667 5561790729445 6674148875334 10011223313001 11123581458890 16685372188335 20022446626002 33370744376670 50056116565005 100112233130010