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3024117522001 = 823221132
BaseRepresentation
bin101100000000011011011…
…100110101111001010001
3101201002202221122100000201
4230000123130311321101
5344021343041201001
610233132125415201
7431325310545232
oct54003334657121
911632687570021
103024117522001
11a66580558a44
1240a116a0a501
1318c233296294
14a6521da5089
15539e6beb501
hex2c01b735e51

3024117522001 has 9 divisors (see below), whose sum is σ = 3029230107099. Its totient is φ = 3019013559936.

The previous prime is 3024117521977. The next prime is 3024117522031. The reversal of 3024117522001 is 1002257114203.

The square root of 3024117522001 is 1738999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2861715025 + 3021255806976 = 53495^2 + 1738176^2 .

It is not a de Polignac number, because 3024117522001 - 227 = 3023983304273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3024117522031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1431195121 + ... + 1431197233.

It is an arithmetic number, because the mean of its divisors is an integer number (336581123011).

Almost surely, 23024117522001 is an apocalyptic number.

3024117522001 is the 1738999-th square number.

3024117522001 is the 869500-th centered octagonal number.

It is an amenable number.

3024117522001 is a deficient number, since it is larger than the sum of its proper divisors (5112585098).

3024117522001 is an frugal number, since it uses more digits than its factorization.

3024117522001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 3024117522001 in words is "three trillion, twenty-four billion, one hundred seventeen million, five hundred twenty-two thousand, one".

Divisors: 1 823 2113 677329 1738999 4464769 1431196177 3674504887 3024117522001