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113013021141 = 321729121720929
BaseRepresentation
bin110100101000000011…
…0011101100111010101
3101210201001221022100200
41221100012131213111
53322422313134031
6123530101131113
711110365554436
oct1512006354725
9353631838320
10113013021141
1143a239a4529
1219a9b9b9a99
13a8707c0157
14568141948d
152e168ae8e6
hex1a5019d9d5

113013021141 has 48 divisors (see below), whose sum is σ = 178959034800. Its totient is φ = 68405428224.

The previous prime is 113013021139. The next prime is 113013021151. The reversal of 113013021141 is 141120310311.

It is a happy number.

113013021141 is a `hidden beast` number, since 11 + 301 + 302 + 11 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1152874116 + 111860147025 = 33954^2 + 334455^2 .

It is not a de Polignac number, because 113013021141 - 21 = 113013021139 is a prime.

It is a super-2 number, since 2×1130130211412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013021151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5389365 + ... + 5410293.

It is an arithmetic number, because the mean of its divisors is an integer number (3728313225).

Almost surely, 2113013021141 is an apocalyptic number.

It is an amenable number.

113013021141 is a deficient number, since it is larger than the sum of its proper divisors (65946013659).

113013021141 is a wasteful number, since it uses less digits than its factorization.

113013021141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22198 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113013021141 its reverse (141120310311), we get a palindrome (254133331452).

The spelling of 113013021141 in words is "one hundred thirteen billion, thirteen million, twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1217 1479 3651 4437 10953 20689 20929 35293 62067 62787 105879 186201 188361 317637 355793 599981 606941 1067379 1799943 1820823 3202137 5399829 5462469 10317997 25470593 30953991 76411779 92861973 229235337 433000081 738647197 1299000243 2215941591 3897000729 6647824773 12557002349 37671007047 113013021141