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101131321312 = 2571117404189
BaseRepresentation
bin101111000101111100…
…1010111111111100000
3100200001000102102100001
41132023321113333200
53124104104240222
6114243055105344
710210062022240
oct1361371277740
9320030372301
10101131321312
1139986aa359a
1217724812254
1396c9008938
144c753d3b20
15296d70ae27
hex178be57fe0

101131321312 has 48 divisors (see below), whose sum is σ = 227749747680. Its totient is φ = 43303085568.

The previous prime is 101131321307. The next prime is 101131321331. The reversal of 101131321312 is 213123131101.

It is a self number, because there is not a number n which added to its sum of digits gives 101131321312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48114 + ... + 452302.

It is an arithmetic number, because the mean of its divisors is an integer number (4744786410).

Almost surely, 2101131321312 is an apocalyptic number.

It is an amenable number.

101131321312 is an abundant number, since it is smaller than the sum of its proper divisors (126618426368).

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

101131321312 is a wasteful number, since it uses less digits than its factorization.

101131321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405323 (or 405315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101131321312 its reverse (213123131101), we get a palindrome (314254452413).

The spelling of 101131321312 in words is "one hundred one billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1117 2234 4468 7819 8936 15638 17872 31276 35744 62552 125104 250208 404189 808378 1616756 2829323 3233512 5658646 6467024 11317292 12934048 22634584 45269168 90538336 451479113 902958226 1805916452 3160353791 3611832904 6320707582 7223665808 12641415164 14447331616 25282830328 50565660656 101131321312