Search a number
-
+
131012222311201 = 71112742973117827
BaseRepresentation
bin11101110010011110101000…
…111110001101101100100001
3122011212122110000212110020111
4131302132220332031230201
5114133001012402424301
61142350103431011321
736411215000325040
oct3562365076155441
9564778400773214
10131012222311201
1138820a76016460
121283b068209b41
135814526a81c1a
14244d04d972557
151022dddd45551
hex7727a8f8db21

131012222311201 has 32 divisors (see below), whose sum is σ = 164664419254272. Its totient is φ = 101260004549760.

The previous prime is 131012222311163. The next prime is 131012222311213. The reversal of 131012222311201 is 102113222210131.

It is a happy number.

It is not a de Polignac number, because 131012222311201 - 211 = 131012222309153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131012222311301) 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, 40461450 + ... + 43579276.

It is an arithmetic number, because the mean of its divisors is an integer number (5145763101696).

Almost surely, 2131012222311201 is an apocalyptic number.

131012222311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131012222311201 is a deficient number, since it is larger than the sum of its proper divisors (33652196943071).

131012222311201 is a wasteful number, since it uses less digits than its factorization.

131012222311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122269.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131012222311201 its reverse (102113222210131), we get a palindrome (233125444521332).

The spelling of 131012222311201 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-two million, three hundred eleven thousand, two hundred one".

Divisors: 1 7 11 77 127 889 1397 4297 9779 30079 47267 330869 545719 3117827 3820033 6002909 21824789 34296097 42020363 240072679 395964029 2771748203 4355604319 13397302619 30489230233 93781118333 147370328809 1031592301663 1701457432613 11910202028291 18716031758743 131012222311201