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1100211210020 = 2251331481134417
BaseRepresentation
bin10000000000101001101…
…100101100011100100100
310220011211121111100102002
4100000221230230130210
5121011213032210040
62201232520304432
7142326154661126
oct20005154543444
93804747440362
101100211210020
1139466260022a
1215928a612118
137c998788b10
143b371567216
151d9442c1a15
hex10029b2c724

1100211210020 has 48 divisors (see below), whose sum is σ = 2488267515888. Its totient is φ = 406215905280.

The previous prime is 1100211210019. The next prime is 1100211210031. The reversal of 1100211210020 is 200121120011.

It can be written as a sum of positive squares in 8 ways, for example, as 107462018596 + 992749191424 = 327814^2 + 996368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100211209983 and 1100211210010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8117852 + ... + 8252268.

It is an arithmetic number, because the mean of its divisors is an integer number (51838906581).

Almost surely, 21100211210020 is an apocalyptic number.

1100211210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100211210020 is an abundant number, since it is smaller than the sum of its proper divisors (1388056305868).

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

1100211210020 is a wasteful number, since it uses less digits than its factorization.

1100211210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165920 (or 165918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100211210020 its reverse (200121120011), we get a palindrome (1300332330031).

Subtracting from 1100211210020 its reverse (200121120011), we obtain a palindrome (900090090009).

The spelling of 1100211210020 in words is "one trillion, one hundred billion, two hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 31481 62962 125924 134417 157405 268834 314810 409253 537668 629620 672085 818506 1344170 1637012 1747421 2046265 2688340 3494842 4092530 6989684 8185060 8737105 17474210 34948420 4231581577 8463163154 16926326308 21157907885 42315815770 55010560501 84631631540 110021121002 220042242004 275052802505 550105605010 1100211210020