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101113133212 = 227131912575659
BaseRepresentation
bin101111000101011001…
…1111111100010011100
3100122222202012100221201
41132022303333202130
53124034430230322
6114241205205244
710206451310560
oct1361263774234
9318882170851
10101113133212
1139977800603
121771a700824
1396c530b150
144c72c1b6a0
15296bd16d27
hex178acff89c

101113133212 has 96 divisors (see below), whose sum is σ = 219813027840. Its totient is φ = 39629537280.

The previous prime is 101113133189. The next prime is 101113133237. The reversal of 101113133212 is 212331311101.

It is a self number, because there is not a number n which added to its sum of digits gives 101113133212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17864839 + ... + 17870497.

It is an arithmetic number, because the mean of its divisors is an integer number (2289719040).

Almost surely, 2101113133212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101113133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109906513920).

101113133212 is an abundant number, since it is smaller than the sum of its proper divisors (118699894628).

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

101113133212 is a wasteful number, since it uses less digits than its factorization.

101113133212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6129 counting only the distinct ones).

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

Adding to 101113133212 its reverse (212331311101), we get a palindrome (313444444313).

The spelling of 101113133212 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 191 257 364 382 514 764 1028 1337 1799 2483 2674 3341 3598 4966 5348 5659 6682 7196 9932 11318 13364 17381 22636 23387 34762 39613 46774 49087 69524 73567 79226 93548 98174 147134 158452 196348 294268 343609 514969 638131 687218 1029938 1080869 1276262 1374436 1454363 2059876 2161738 2552524 2908726 4323476 4466917 5817452 7566083 8933834 10180541 14051297 15132166 17867668 18906719 20361082 28102594 30264332 37813438 40722164 56205188 75626876 98359079 132347033 196718158 264694066 277783333 393436316 529388132 555566666 1111133332 1944483331 3611183329 3888966662 7222366658 7777933324 14444733316 25278283303 50556566606 101113133212