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1122020010001 = 11312822112911
BaseRepresentation
bin10000010100111101100…
…110101010100000010001
310222021010111121011202201
4100110331212222200101
5121340344110310001
62215240542443201
7144030462503302
oct20247546524021
93867114534681
101122020010001
113a2934054470
12161556293501
1381a62b150a7
143c43db767a9
151e2bdc33501
hex1053d9aa811

1122020010001 has 24 divisors (see below), whose sum is σ = 1265031921024. Its totient is φ = 986917860000.

The previous prime is 1122020009977. The next prime is 1122020010019. The reversal of 1122020010001 is 1000100202211.

It is not a de Polignac number, because 1122020010001 - 29 = 1122020009489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122020010001.

It is not an unprimeable number, because it can be changed into a prime (1122020010301) 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 23 ways as a sum of consecutive naturals, for example, 86897736 + ... + 86910646.

It is an arithmetic number, because the mean of its divisors is an integer number (52709663376).

Almost surely, 21122020010001 is an apocalyptic number.

1122020010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122020010001 is a deficient number, since it is larger than the sum of its proper divisors (143011911023).

1122020010001 is a wasteful number, since it uses less digits than its factorization.

1122020010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21205 (or 21174 counting only the distinct ones).

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

Adding to 1122020010001 its reverse (1000100202211), we get a palindrome (2122120212212).

The spelling of 1122020010001 in words is "one trillion, one hundred twenty-two billion, twenty million, ten thousand, one".

Divisors: 1 11 31 341 961 8221 10571 12911 90431 142021 254851 400241 2803361 4402651 7900381 12407471 86904191 106141331 136482181 1167554641 3290381261 36194193871 102001819091 1122020010001