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990120212001 = 3413457908353
BaseRepresentation
bin11100110100001111100…
…00110111011000100001
310111122200011212012020000
432122013300313120201
5112210231233241001
62034504400210213
7131351046640254
oct16320760673041
93448604765200
10990120212001
113519a9057a48
1213ba85309969
13724a247a93b
1435cca25709b
151ab4e201a86
hexe687c37621

990120212001 has 20 divisors (see below), whose sum is σ = 1479180003972. Its totient is φ = 660030363648.

The previous prime is 990120211933. The next prime is 990120212017. The reversal of 990120212001 is 100212021099.

990120212001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 989674790976 + 445421025 = 994824^2 + 21105^2 .

It is not a de Polignac number, because 990120212001 - 221 = 990118114849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (990120212201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 635841 + ... + 1544193.

Almost surely, 2990120212001 is an apocalyptic number.

It is an amenable number.

990120212001 is a deficient number, since it is larger than the sum of its proper divisors (489059791971).

990120212001 is a wasteful number, since it uses less digits than its factorization.

990120212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921822 (or 921813 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 990120212001 in words is "nine hundred ninety billion, one hundred twenty million, two hundred twelve thousand, one".

Divisors: 1 3 9 27 81 13457 40371 121113 363339 908353 1090017 2725059 8175177 24525531 73576593 12223706321 36671118963 110013356889 330040070667 990120212001