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103123221030 = 23259719935927
BaseRepresentation
bin110000000001010011…
…1110111101000100110
3100212011211112102001200
41200002213313220212
53142144021033110
6115212452303330
710310326626114
oct1400247675046
9325154472050
10103123221030
113a809408305
1217b9b911b46
1399558a801b
144dc3b80ab4
152a3851d6c0
hex18029f7a26

103123221030 has 96 divisors (see below), whose sum is σ = 271066146624. Its totient is φ = 27197779968.

The previous prime is 103123221013. The next prime is 103123221067. The reversal of 103123221030 is 30122321301.

103123221030 is a `hidden beast` number, since 1 + 0 + 312 + 322 + 1 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103123220994 and 103123221012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17395927 + ... + 17401853.

It is an arithmetic number, because the mean of its divisors is an integer number (2823605694).

Almost surely, 2103123221030 is an apocalyptic number.

103123221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103123221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135533073312).

103123221030 is an abundant number, since it is smaller than the sum of its proper divisors (167942925594).

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

103123221030 is a wasteful number, since it uses less digits than its factorization.

103123221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103123221030 its reverse (30122321301), we get a palindrome (133245542331).

The spelling of 103123221030 in words is "one hundred three billion, one hundred twenty-three million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 1993 2910 3986 4365 5927 5979 8730 9965 11854 11958 17781 17937 19930 29635 29895 35562 35874 53343 59270 59790 88905 89685 106686 177810 179370 193321 266715 386642 533430 574919 579963 966605 1149838 1159926 1724757 1739889 1933210 2874595 2899815 3449514 3479778 5174271 5749190 5799630 8623785 8699445 10348542 11812511 17247570 17398890 23625022 25871355 35437533 51742710 59062555 70875066 106312599 118125110 177187665 212625198 354375330 531562995 1063125990 1145813567 2291627134 3437440701 5729067835 6874881402 10312322103 11458135670 17187203505 20624644206 34374407010 51561610515 103123221030