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100513422100 = 225271311045431
BaseRepresentation
bin101110110011100010…
…0010001101100010100
3100121102221201212222001
41131213010101230110
53121322414001400
6114101503245044
710155546663640
oct1354704215424
9317387655861
10100513422100
113969a22a793
12175918a9784
13962acb3bc0
144c1730bc20
152934354a6a
hex1767111b14

100513422100 has 72 divisors (see below), whose sum is σ = 268448179328. Its totient is φ = 31810838400.

The previous prime is 100513422073. The next prime is 100513422127. The reversal of 100513422100 is 1224315001.

It is an interprime number because it is at equal distance from previous prime (100513422073) and next prime (100513422127).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5513616 + ... + 5531815.

Almost surely, 2100513422100 is an apocalyptic number.

100513422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100513422100 is an abundant number, since it is smaller than the sum of its proper divisors (167934757228).

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

100513422100 is a wasteful number, since it uses less digits than its factorization.

100513422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045465 (or 11045458 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 100513422100 its reverse (1224315001), we get a palindrome (101737737101).

The spelling of 100513422100 in words is "one hundred billion, five hundred thirteen million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11045431 22090862 44181724 55227155 77318017 110454310 143590603 154636034 220908620 276135775 287181206 309272068 386590085 552271550 574362412 717953015 773180170 1005134221 1104543100 1435906030 1546360340 1932950425 2010268442 2871812060 3589765075 3865900850 4020536884 5025671105 7179530150 7731801700 10051342210 14359060300 20102684420 25128355525 50256711050 100513422100