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1001122012220 = 2251115877286613
BaseRepresentation
bin11101001000101111000…
…01011001110000111100
310112201001220200112220012
432210113201121300330
5112400244213342340
62043524211042352
7132220510461461
oct16442741316074
93481056615805
101001122012220
11356634305320
121420358a03b8
13735368857b5
1436651475668
151b094ee9565
hexe917859c3c

1001122012220 has 48 divisors (see below), whose sum is σ = 2293631974368. Its totient is φ = 364020168960.

The previous prime is 1001122012217. The next prime is 1001122012259. The reversal of 1001122012220 is 222102211001.

1001122012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001122012195 and 1001122012204.

It is a congruent number.

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, 3349634 + ... + 3636246.

It is an arithmetic number, because the mean of its divisors is an integer number (47783999466).

Almost surely, 21001122012220 is an apocalyptic number.

1001122012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122012220 is an abundant number, since it is smaller than the sum of its proper divisors (1292509962148).

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

1001122012220 is a wasteful number, since it uses less digits than its factorization.

1001122012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302510 (or 302508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001122012220 its reverse (222102211001), we get a palindrome (1223224223221).

The spelling of 1001122012220 in words is "one trillion, one billion, one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 15877 31754 63508 79385 158770 174647 286613 317540 349294 573226 698588 873235 1146452 1433065 1746470 2866130 3152743 3492940 5732260 6305486 12610972 15763715 31527430 63054860 4550554601 9101109202 18202218404 22752773005 45505546010 50056100611 91011092020 100112201222 200224402444 250280503055 500561006110 1001122012220