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100220110020 = 22325556778389
BaseRepresentation
bin101110101010110010…
…1011000010011000100
3100120200111211002102200
41131111211120103010
53120222322010040
6114012424434500
710145355610452
oct1352545302304
9316614732380
10100220110020
1139559704008
121750b618a30
1395b22b8264
144bca3999d2
152918717630
hex17559584c4

100220110020 has 36 divisors (see below), whose sum is σ = 304001000940. Its totient is φ = 26725362624.

The previous prime is 100220109971. The next prime is 100220110061. The reversal of 100220110020 is 20011022001.

It can be written as a sum of positive squares in 2 ways, for example, as 70000459776 + 30219650244 = 264576^2 + 173838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220109984 and 100220110011.

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 11 ways as a sum of consecutive naturals, for example, 278389015 + ... + 278389374.

Almost surely, 2100220110020 is an apocalyptic number.

100220110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220110020 is an abundant number, since it is smaller than the sum of its proper divisors (203780890920).

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

100220110020 is a wasteful number, since it uses less digits than its factorization.

100220110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556778404 (or 556778399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220110020 its reverse (20011022001), we get a palindrome (120231132021).

The spelling of 100220110020 in words is "one hundred billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 556778389 1113556778 1670335167 2227113556 2783891945 3340670334 5011005501 5567783890 6681340668 8351675835 10022011002 11135567780 16703351670 20044022004 25055027505 33406703340 50110055010 100220110020