Search a number
-
+
103113020120 = 235112199107057
BaseRepresentation
bin110000000001000000…
…0111101001011011000
3100212011010100011001012
41200002000331023120
53142133413120440
6115211445513052
710310144131625
oct1400200751330
9325133304035
10103113020120
113a803680200
1217b98412788
139953745b96
144dc268734c
152a376a5e65
hex180203d2d8

103113020120 has 96 divisors (see below), whose sum is σ = 256296852000. Its totient is φ = 37306874880.

The previous prime is 103113020099. The next prime is 103113020191. The reversal of 103113020120 is 21020311301.

It is a junction number, because it is equal to n+sod(n) for n = 103113020095 and 103113020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909632 + ... + 1016688.

It is an arithmetic number, because the mean of its divisors is an integer number (2669758875).

Almost surely, 2103113020120 is an apocalyptic number.

103113020120 is a gapful number since it is divisible by the number (10) 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 103113020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128148426000).

103113020120 is an abundant number, since it is smaller than the sum of its proper divisors (153183831880).

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

103113020120 is a wasteful number, since it uses less digits than its factorization.

103113020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107289 (or 107274 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103113020120 its reverse (21020311301), we get a palindrome (124133331421).

The spelling of 103113020120 in words is "one hundred three billion, one hundred thirteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 199 220 242 398 440 484 605 796 968 995 1210 1592 1990 2189 2420 3980 4378 4840 7960 8756 10945 17512 21890 24079 43780 48158 87560 96316 107057 120395 192632 214114 240790 428228 481580 535285 856456 963160 1070570 1177627 2141140 2355254 4282280 4710508 5888135 9421016 11776270 12953897 21304343 23552540 25907794 42608686 47105080 51815588 64769485 85217372 103631176 106521715 129538970 170434744 213043430 234347773 259077940 426086860 468695546 518155880 852173720 937391092 1171738865 1874782184 2343477730 2577825503 4686955460 5155651006 9373910920 10311302012 12889127515 20622604024 25778255030 51556510060 103113020120