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103121203432 = 231323379113749
BaseRepresentation
bin110000000001010000…
…0001011000011101000
3100212011200201220102211
41200002200023003220
53142143012002212
6115212341134504
710310303523652
oct1400240130350
9325150656384
10103121203432
113a80825a475
1217b9b0ba434
13995534c890
144dc37b76d2
152a382709a7
hex180280b0e8

103121203432 has 64 divisors (see below), whose sum is σ = 217854000000. Its totient is φ = 45404561664.

The previous prime is 103121203411. The next prime is 103121203439. The reversal of 103121203432 is 234302121301.

103121203432 is digitally balanced in base 3, 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 (103121203439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849694 + ... + 963442.

It is an arithmetic number, because the mean of its divisors is an integer number (3403968750).

Almost surely, 2103121203432 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 103121203432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927000000).

103121203432 is an abundant number, since it is smaller than the sum of its proper divisors (114732796568).

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

103121203432 is a wasteful number, since it uses less digits than its factorization.

103121203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114170 (or 114166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103121203432 its reverse (234302121301), we get a palindrome (337423324733).

The spelling of 103121203432 in words is "one hundred three billion, one hundred twenty-one million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 379 598 758 1196 1516 2392 3032 4927 8717 9854 17434 19708 34868 39416 69736 113321 113749 226642 227498 453284 454996 906568 909992 1478737 2616227 2957474 5232454 5914948 10464908 11829896 20929816 34010951 43110871 68021902 86221742 136043804 172443484 272087608 344886968 560441323 991550033 1120882646 1983100066 2241765292 3966200132 4483530584 7932400264 12890150429 25780300858 51560601716 103121203432