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101113011132 = 223719313202409
BaseRepresentation
bin101111000101011001…
…1100001101110111100
3100122222201222011111020
41132022303201232330
53124034412324012
6114241202424140
710206450261630
oct1361263415674
9318881864436
10101113011132
1139977727911
121771a662050
1396c5297703
144c72bc8dc0
15296bce0a8c
hex178ace1bbc

101113011132 has 96 divisors (see below), whose sum is σ = 284734195200. Its totient is φ = 27281359872.

The previous prime is 101113011127. The next prime is 101113011149. The reversal of 101113011132 is 231110311101.

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, 398344 + ... + 600752.

It is an arithmetic number, because the mean of its divisors is an integer number (2965981200).

Almost surely, 2101113011132 is an apocalyptic number.

101113011132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101113011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142367097600).

101113011132 is an abundant number, since it is smaller than the sum of its proper divisors (183621184068).

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

101113011132 is a wasteful number, since it uses less digits than its factorization.

101113011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202755 (or 202753 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101113011132 its reverse (231110311101), we get a palindrome (332223322233).

The spelling of 101113011132 in words is "one hundred one billion, one hundred thirteen million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 313 399 532 626 798 939 1252 1596 1878 2191 3756 4382 5947 6573 8764 11894 13146 17841 23788 26292 35682 41629 71364 83258 124887 166516 202409 249774 404818 499548 607227 809636 1214454 1416863 2428908 2833726 3845771 4250589 5667452 7691542 8501178 11537313 15383084 17002356 23074626 26920397 46149252 53840794 63354017 80761191 107681588 126708034 161522382 190062051 253416068 323044764 380124102 443478119 760248204 886956238 1203726323 1330434357 1773912476 2407452646 2660868714 3611178969 4814905292 5321737428 7222357938 8426084261 14444715876 16852168522 25278252783 33704337044 50556505566 101113011132