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1100002022120 = 235229120087557
BaseRepresentation
bin10000000000011101001…
…110101101001011101000
310220011022000212111120002
4100000131032231023220
5121010301004201440
62201200044522132
7142321034625641
oct20003516551350
93804260774502
101100002022120
11394565512271
12159230550348
137c9643357b1
143b3518726c8
151d930c50115
hex1001d3ad2e8

1100002022120 has 32 divisors (see below), whose sum is σ = 2485812450600. Its totient is φ = 438079404288.

The previous prime is 1100002022099. The next prime is 1100002022129. The reversal of 1100002022120 is 212202000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 771716568676 + 328285453444 = 878474^2 + 572962^2 .

It is not an unprimeable number, because it can be changed into a prime (1100002022129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60034619 + ... + 60052938.

Almost surely, 21100002022120 is an apocalyptic number.

1100002022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100002022120 is an abundant number, since it is smaller than the sum of its proper divisors (1385810428480).

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

1100002022120 is a wasteful number, since it uses less digits than its factorization.

1100002022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120087797 (or 120087793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1100002022120 its reverse (212202000011), we get a palindrome (1312204022131).

The spelling of 1100002022120 in words is "one trillion, one hundred billion, two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 120087557 240175114 480350228 600437785 960700456 1200875570 2401751140 4803502280 27500050553 55000101106 110000202212 137500252765 220000404424 275000505530 550001011060 1100002022120