Search a number
-
+
131103331211550 = 2352223281111712487
BaseRepresentation
bin11101110011110011011111…
…011111000101100100011110
3122012012100121120100010200010
4131303303133133011210132
5114140444110242232200
61142500012222544050
736420621523234155
oct3563633737054436
9565170546303603
10131103331211550
1138856679680815
1212854854438026
13581ccb6550049
142453613c4859c
151025472715150
hex773cdf7c591e

131103331211550 has 192 divisors, whose sum is σ = 328076225777664. Its totient is φ = 34646432486400.

The previous prime is 131103331211441. The next prime is 131103331211609. The reversal of 131103331211550 is 55112133301131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10499179407 + ... + 10499191893.

It is an arithmetic number, because the mean of its divisors is an integer number (1708730342592).

Almost surely, 2131103331211550 is an apocalyptic number.

131103331211550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103331211550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164038112888832).

131103331211550 is an abundant number, since it is smaller than the sum of its proper divisors (196972894566114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131103331211550 is a wasteful number, since it uses less digits than its factorization.

131103331211550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14123 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

Adding to 131103331211550 its reverse (55112133301131), we get a palindrome (186215464512681).

The spelling of 131103331211550 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred thirty-one million, two hundred eleven thousand, five hundred fifty".