Search a number
-
+
123020313012 = 22328938395853
BaseRepresentation
bin111001010010010010…
…1010000000110110100
3102202112111102102001100
41302210211100012310
54003421200004022
6132303104130100
711613362256462
oct1624445200664
9382474372040
10123020313012
1148199839a83
121ba13306930
13b7a6b6162c
145d50519832
15330020d1ac
hex1ca49501b4

123020313012 has 36 divisors (see below), whose sum is σ = 314462044260. Its totient is φ = 40546019712.

The previous prime is 123020312971. The next prime is 123020313037. The reversal of 123020313012 is 210313020321.

It can be written as a sum of positive squares in 2 ways, for example, as 75402963216 + 47617349796 = 274596^2 + 218214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19194723 + ... + 19201130.

It is an arithmetic number, because the mean of its divisors is an integer number (8735056785).

Almost surely, 2123020313012 is an apocalyptic number.

123020313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123020313012 is an abundant number, since it is smaller than the sum of its proper divisors (191441731248).

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

123020313012 is a wasteful number, since it uses less digits than its factorization.

123020313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38395952 (or 38395947 counting only the distinct ones).

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

Adding to 123020313012 its reverse (210313020321), we get a palindrome (333333333333).

The spelling of 123020313012 in words is "one hundred twenty-three billion, twenty million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 38395853 76791706 115187559 153583412 230375118 345562677 460750236 691125354 1382250708 3417230917 6834461834 10251692751 13668923668 20503385502 30755078253 41006771004 61510156506 123020313012