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131103310302 = 232311097214177
BaseRepresentation
bin111101000011001011…
…1011100000111011110
3110112101211000012211100
41322012113130013132
54121444421412202
6140121130533530
712320601515316
oct1720627340736
9415354005740
10131103310302
1150667445528
12214aa2972a6
13c494644173
1464b9c2a446
153624b5041c
hex1e865dc1de

131103310302 has 48 divisors (see below), whose sum is σ = 293488970112. Its totient is φ = 42252641280.

The previous prime is 131103310301. The next prime is 131103310309. The reversal of 131103310302 is 203013301131.

It is a happy number.

131103310302 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 331 + 0 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103310301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505038 + ... + 719214.

It is an arithmetic number, because the mean of its divisors is an integer number (6114353544).

Almost surely, 2131103310302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103310302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146744485056).

131103310302 is an abundant number, since it is smaller than the sum of its proper divisors (162385659810).

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

131103310302 is a wasteful number, since it uses less digits than its factorization.

131103310302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215313 (or 215310 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131103310302 its reverse (203013301131), we get a palindrome (334116611433).

The spelling of 131103310302 in words is "one hundred thirty-one billion, one hundred three million, three hundred ten thousand, three hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1097 2194 3291 6582 9873 19746 34007 68014 102021 204042 214177 306063 428354 612126 642531 1285062 1927593 3855186 6639487 13278974 19918461 39836922 59755383 119510766 234952169 469904338 704856507 1409713014 2114569521 4229139042 7283517239 14567034478 21850551717 43701103434 65551655151 131103310302