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103331112138 = 23217596193827
BaseRepresentation
bin110000000111100000…
…0111010010011001010
3100212201022201101001100
41200033000322103022
53143110231042023
6115245240202230
710315432650462
oct1401700722312
9325638641040
10103331112138
113a90579aa41
1218039469376
139989996007
145003618ba2
152a4b8d5c43
hex180f03a4ca

103331112138 has 96 divisors (see below), whose sum is σ = 245026192320. Its totient is φ = 31345390080.

The previous prime is 103331112013. The next prime is 103331112139. The reversal of 103331112138 is 831211133301.

It is a happy number.

103331112138 is a `hidden beast` number, since 1 + 0 + 333 + 111 + 213 + 8 = 666.

103331112138 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103331112139) 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, 1054381 + ... + 1148207.

It is an arithmetic number, because the mean of its divisors is an integer number (2552356170).

Almost surely, 2103331112138 is an apocalyptic number.

103331112138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103331112138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122513096160).

103331112138 is an abundant number, since it is smaller than the sum of its proper divisors (141695080182).

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

103331112138 is a wasteful number, since it uses less digits than its factorization.

103331112138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93972 (or 93969 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 103331112138 its reverse (831211133301), we get a palindrome (934542245439).

The spelling of 103331112138 in words is "one hundred three billion, three hundred thirty-one million, one hundred twelve thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 59 61 102 118 122 153 177 183 306 354 366 531 549 1003 1037 1062 1098 2006 2074 3009 3111 3599 6018 6222 7198 9027 9333 10797 18054 18666 21594 32391 61183 64782 93827 122366 183549 187654 281481 367098 550647 562962 844443 1101294 1595059 1688886 3190118 4785177 5535793 5723447 9570354 11071586 11446894 14355531 16607379 17170341 28711062 33214758 34340682 49822137 51511023 94108481 97298599 99644274 103022046 188216962 194597198 282325443 291895797 337683373 564650886 583791594 675366746 846976329 875687391 1013050119 1693952658 1751374782 2026100238 3039150357 5740617341 6078300714 11481234682 17221852023 34443704046 51665556069 103331112138