Search a number
-
+
31032122123013 = 31115713597440509
BaseRepresentation
bin1110000111001001110101…
…00111011010001100000101
311001212122022221120002211220
413003210322213122030011
513031412241230414023
6145555543214150553
76351665625601524
oct703447247321405
9131778287502756
1031032122123013
119984715a29450
123592296ab2459
13144141663556b
14793d69a064bb
1538c33b6013e3
hex1c393a9da305

31032122123013 has 32 divisors (see below), whose sum is σ = 45428576968320. Its totient is φ = 18686137916160.

The previous prime is 31032122122979. The next prime is 31032122123039.

31032122123013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31032122123013 - 212 = 31032122118917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31032122123813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70225803 + ... + 70666311.

It is an arithmetic number, because the mean of its divisors is an integer number (1419643030260).

Almost surely, 231032122123013 is an apocalyptic number.

31032122123013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31032122123013 is a deficient number, since it is larger than the sum of its proper divisors (14396454845307).

31032122123013 is a wasteful number, since it uses less digits than its factorization.

31032122123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454277.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3103212 and 2123013, that added together give a palindrome (5226225).

The spelling of 31032122123013 in words is "thirty-one trillion, thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 11 33 157 471 1727 5181 13597 40791 149567 440509 448701 1321527 2134729 4845599 6404187 14536797 23482019 69159913 70446057 207479739 760759043 2282277129 5989600873 17968802619 65885609603 197656828809 940367337061 2821102011183 10344040707671 31032122123013