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110010100020 = 223512714437021
BaseRepresentation
bin110011001110100011…
…1001110100100110100
3101111221210102002222220
41212131013032210310
53300300041200040
6122312110122340
710643103264402
oct1463507164464
9344853362886
10110010100020
1142722919437
12193a21b03b0
13a4b2625152
145478692472
152cdce402d0
hex199d1ce934

110010100020 has 48 divisors (see below), whose sum is σ = 310453721088. Its totient is φ = 29105032320.

The previous prime is 110010100019. The next prime is 110010100033. The reversal of 110010100020 is 20001010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 110010099981 and 110010100008.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7210891 + ... + 7226130.

It is an arithmetic number, because the mean of its divisors is an integer number (6467785856).

Almost surely, 2110010100020 is an apocalyptic number.

110010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010100020 is an abundant number, since it is smaller than the sum of its proper divisors (200443621068).

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

110010100020 is a wasteful number, since it uses less digits than its factorization.

110010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437160 (or 14437158 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110010100020 its reverse (20001010011), we get a palindrome (130011110031).

Subtracting from 110010100020 its reverse (20001010011), we obtain a palindrome (90009090009).

The spelling of 110010100020 in words is "one hundred ten billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 14437021 28874042 43311063 57748084 72185105 86622126 144370210 173244252 216555315 288740420 433110630 866221260 1833501667 3667003334 5500505001 7334006668 9167508335 11001010002 18335016670 22002020004 27502525005 36670033340 55005050010 110010100020