Search a number
-
+
31002132020101 = 112910139684707
BaseRepresentation
bin1110000110010001111110…
…00100001111101110000101
311001202202220212220000201121
413003020333010033232011
513030414331244120401
6145534103254153541
76346554506123254
oct703107704175605
9131682825800647
1031002132020101
119972a26335230
1235885073528b1
13143b647327238
14792722a1679b
1538b6837ceca1
hex1c323f10fb85

31002132020101 has 8 divisors (see below), whose sum is σ = 33820627366944. Its totient is φ = 28183656624720.

The previous prime is 31002132020099. The next prime is 31002132020113. The reversal of 31002132020101 is 10102023120013.

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

It is a cyclic number.

It is not a de Polignac number, because 31002132020101 - 21 = 31002132020099 is a prime.

It is a super-2 number, since 2×310021320201012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002132020131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1641211 + ... + 8043496.

It is an arithmetic number, because the mean of its divisors is an integer number (4227578420868).

Almost surely, 231002132020101 is an apocalyptic number.

It is an amenable number.

31002132020101 is a deficient number, since it is larger than the sum of its proper divisors (2818495346843).

31002132020101 is a wasteful number, since it uses less digits than its factorization.

31002132020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975731.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31002132020101 its reverse (10102023120013), we get a palindrome (41104155140114).

The spelling of 31002132020101 in words is "thirty-one trillion, two billion, one hundred thirty-two million, twenty thousand, one hundred one".

Divisors: 1 11 291013 3201143 9684707 106531777 2818375638191 31002132020101