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31031244213013 = 112910110715159611
BaseRepresentation
bin1110000111001000001100…
…10010011100101100010101
311001212120001202121122201201
413003210012102130230111
513031403442004304023
6145555320133352501
76351635105515252
oct703440622345425
9131776052548651
1031031244213013
1199843054146a0
123592090a98731
1314413067a46a5
14793cc519a429
1538c2d94d9bad
hex1c390649cb15

31031244213013 has 64 divisors (see below), whose sum is σ = 35933846538240. Its totient is φ = 26538372000000.

The previous prime is 31031244213007. The next prime is 31031244213019.

31031244213013 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31031244213007) and next prime (31031244213019).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31031244213013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031244213019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520532578 + ... + 520592188.

It is an arithmetic number, because the mean of its divisors is an integer number (561466352160).

Almost surely, 231031244213013 is an apocalyptic number.

It is an amenable number.

31031244213013 is a deficient number, since it is larger than the sum of its proper divisors (4902602325227).

31031244213013 is a wasteful number, since it uses less digits than its factorization.

31031244213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60010.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3103124 and 4213013, that added together give a palindrome (7316137).

The spelling of 31031244213013 in words is "thirty-one trillion, thirty-one billion, two hundred forty-four million, two hundred thirteen thousand, thirteen".

Divisors: 1 11 29 101 107 151 319 1111 1177 1661 2929 3103 4379 10807 15251 16157 32219 34133 48169 59611 118877 167761 177727 313403 442279 468553 655721 1631857 1728719 3447433 4865069 5154083 6020711 6378377 9001261 17950427 19015909 47323853 66227821 70162147 99013871 174600619 184972933 261036569 520562383 644216077 909127361 963134927 1920606809 2034702263 2871402259 7086376847 10000400971 10594484197 18682266233 26364693469 27930912883 97276627627 205504928563 290011628159 307240041713 1070042903897 2821022201183 31031244213013