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2011220010100 = 225274915851673
BaseRepresentation
bin11101010001000110000…
…011011110010001110100
321010021022101021102022201
4131101012003132101310
5230422434310310400
64135535224434244
7265206623005540
oct35210603362164
97107271242281
102011220010100
11705a54299504
12285955618984
13117870c30bc2
146d4b4a70a20
15374b302a06a
hex1d4460de474

2011220010100 has 72 divisors (see below), whose sum is σ = 4997984983488. Its totient is φ = 688156627200.

The previous prime is 2011220010017. The next prime is 2011220010113. The reversal of 2011220010100 is 10100221102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 2582137 + ... + 3269536.

It is an arithmetic number, because the mean of its divisors is an integer number (69416458104).

Almost surely, 22011220010100 is an apocalyptic number.

2011220010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011220010100 is an abundant number, since it is smaller than the sum of its proper divisors (2986764973388).

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

2011220010100 is a wasteful number, since it uses less digits than its factorization.

2011220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852185 (or 5852178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011220010100 its reverse (10100221102), we get a palindrome (2021320231202).

The spelling of 2011220010100 in words is "two trillion, eleven billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 491 700 982 1964 2455 3437 4910 6874 9820 12275 13748 17185 24550 34370 49100 68740 85925 171850 343700 5851673 11703346 23406692 29258365 40961711 58516730 81923422 117033460 146291825 163846844 204808555 292583650 409617110 585167300 819234220 1024042775 2048085550 2873171443 4096171100 5746342886 11492685772 14365857215 20112200101 28731714430 40224400202 57463428860 71829286075 80448800404 100561000505 143658572150 201122001010 287317144300 402244002020 502805002525 1005610005050 2011220010100