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31332120031001 = 197333614724917
BaseRepresentation
bin1110001111111000100111…
…11000100110111100011001
311002221022200022112211220002
413013330103320212330121
513101321140211443001
6150345435514342345
76412446100002056
oct707742370467431
9132838608484802
1031332120031001
119a8a971a26a09
12362045b72a9b5
1314637b5bb0b9a
147a46a876202d
153950489ea46b
hex1c7f13e26f19

31332120031001 has 8 divisors (see below), whose sum is σ = 31357334099784. Its totient is φ = 31306915422720.

The previous prime is 31332120030989. The next prime is 31332120031007. The reversal of 31332120031001 is 10013002123313.

It can be written as a sum of positive squares in 4 ways, for example, as 778587405376 + 30553532625625 = 882376^2 + 5527525^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31332120031001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31332120031007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4268795 + ... + 8993711.

It is an arithmetic number, because the mean of its divisors is an integer number (3919666762473).

Almost surely, 231332120031001 is an apocalyptic number.

It is an amenable number.

31332120031001 is a deficient number, since it is larger than the sum of its proper divisors (25214068783).

31332120031001 is a wasteful number, since it uses less digits than its factorization.

31332120031001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730251.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31332120031001 its reverse (10013002123313), we get a palindrome (41345122154314).

The spelling of 31332120031001 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred twenty million, thirty-one thousand, one".

Divisors: 1 1973 3361 4724917 6631253 9322261241 15880446037 31332120031001