Search a number
-
+
101113013331 = 321110770913463
BaseRepresentation
bin101111000101011001…
…1100010010001010011
3100122222201222021111200
41132022303202101103
53124034412411311
6114241202442243
710206450301221
oct1361263422123
9318881867450
10101113013331
1139977729530
121771a663383
1396c5298705
144c72bc9b11
15296bce1556
hex178ace2453

101113013331 has 48 divisors (see below), whose sum is σ = 161057445120. Its totient is φ = 60617770560.

The previous prime is 101113013311. The next prime is 101113013371. The reversal of 101113013331 is 133310311101.

It is not a de Polignac number, because 101113013331 - 213 = 101113005139 is a prime.

It is a super-2 number, since 2×1011130133312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101113013311) 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, 7503706 + ... + 7517168.

It is an arithmetic number, because the mean of its divisors is an integer number (3355363440).

Almost surely, 2101113013331 is an apocalyptic number.

101113013331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101113013331 is a deficient number, since it is larger than the sum of its proper divisors (59944431789).

101113013331 is a wasteful number, since it uses less digits than its factorization.

101113013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101113013331 its reverse (133310311101), we get a palindrome (234423324432).

The spelling of 101113013331 in words is "one hundred one billion, one hundred thirteen million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 107 321 709 963 1177 2127 3531 6381 7799 10593 13463 23397 40389 70191 75863 121167 148093 227589 444279 682767 834493 1332837 1440541 2503479 4321623 7510437 9545267 12964869 15845951 28635801 47537853 85907403 104997937 142613559 314993811 944981433 1021343569 3064030707 9192092121 11234779259 33704337777 101113013331