Search a number
-
+
131114102201132 = 22853183123838807
BaseRepresentation
bin11101110011111101100001…
…011111001001101100101100
3122012020101102012212002200012
4131303331201133021230230
5114141133140130414012
61142504553110352352
736421452452155151
oct3563754137115454
9565211365762605
10131114102201132
11388601a66116a6
121285695b65b6b8
135821011ba396b
142453d56544228
1510258a3119622
hex773f617c9b2c

131114102201132 has 48 divisors (see below), whose sum is σ = 229966691469312. Its totient is φ = 65409543541440.

The previous prime is 131114102201077. The next prime is 131114102201143. The reversal of 131114102201132 is 231102201411131.

It is a junction number, because it is equal to n+sod(n) for n = 131114102201098 and 131114102201107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14887483073 + ... + 14887491879.

It is an arithmetic number, because the mean of its divisors is an integer number (4790972738944).

Almost surely, 2131114102201132 is an apocalyptic number.

It is an amenable number.

131114102201132 is a deficient number, since it is larger than the sum of its proper divisors (98852589268180).

131114102201132 is a wasteful number, since it uses less digits than its factorization.

131114102201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 131114102201132 its reverse (231102201411131), we get a palindrome (362216303612263).

The spelling of 131114102201132 in words is "one hundred thirty-one trillion, one hundred fourteen billion, one hundred two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 853 1706 1831 2383 3412 3662 4766 7324 8807 9532 17614 35228 1561843 2032699 3123686 4065398 4363273 6247372 7512371 8130796 8726546 15024742 16125617 17453092 20987081 30049484 32251234 41974162 64502468 83948324 3721871869 7443743738 13755151301 14887487476 17901980093 27510302602 35803960186 38427345311 55020605204 71607920372 76854690622 153709381244 32778525550283 65557051100566 131114102201132