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100013300030 = 25731316092837
BaseRepresentation
bin101110100100101000…
…0011101100100111110
3100120011002200001110102
41131021100131210332
53114311401100110
6113540120041102
710140265011050
oct1351120354476
9316132601412
10100013300030
113946299a666
1217472303192
13957b4b8397
144baab238d0
1529054b55a5
hex174941d93e

100013300030 has 64 divisors (see below), whose sum is σ = 206600042880. Its totient is φ = 34147436544.

The previous prime is 100013299951. The next prime is 100013300033. The reversal of 100013300030 is 30003310001.

It is a junction number, because it is equal to n+sod(n) for n = 100013299984 and 100013300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013300033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35251772 + ... + 35254608.

It is an arithmetic number, because the mean of its divisors is an integer number (3228125670).

Almost surely, 2100013300030 is an apocalyptic number.

100013300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013300030 is an abundant number, since it is smaller than the sum of its proper divisors (106586742850).

100013300030 is a wasteful number, since it uses less digits than its factorization.

100013300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773.

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 100013300030 its reverse (30003310001), we get a palindrome (130016610031).

The spelling of 100013300030 in words is "one hundred billion, thirteen million, three hundred thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 313 626 1565 1609 2191 2837 3130 3218 4382 5674 8045 10955 11263 14185 16090 19859 21910 22526 28370 39718 56315 99295 112630 198590 503617 887981 1007234 1775962 2518085 3525319 4439905 4564733 5036170 6215867 7050638 8879810 9129466 12431734 17626595 22823665 31079335 31953131 35253190 45647330 62158670 63906262 159765655 319531310 1428761429 2857522858 7143807145 10001330003 14287614290 20002660006 50006650015 100013300030