Search a number
-
+
123013300323220 = 225291993106418413
BaseRepresentation
bin11011111110000101000100…
…000100011000001110010100
3121010112221211101221201212021
4123332011010010120032110
5112110422214340320340
61113343310252302524
734624263154262626
oct3376050404301624
9533487741851767
10123013300323220
113621771409a64a
1211968975471a44
1353841486104c8
142253c3854ac16
15e34cd1870e4a
hex6fe144118394

123013300323220 has 48 divisors (see below), whose sum is σ = 267369880070160. Its totient is φ = 47484746781696.

The previous prime is 123013300323167. The next prime is 123013300323229. The reversal of 123013300323220 is 22323003310321.

It can be written as a sum of positive squares in 8 ways, for example, as 96786943236 + 122916513379984 = 311106^2 + 11086772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013300323229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52053267 + ... + 54365146.

It is an arithmetic number, because the mean of its divisors is an integer number (5570205834795).

Almost surely, 2123013300323220 is an apocalyptic number.

123013300323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013300323220 is an abundant number, since it is smaller than the sum of its proper divisors (144356579746940).

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

123013300323220 is a wasteful number, since it uses less digits than its factorization.

123013300323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106420444 (or 106420442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 123013300323220 its reverse (22323003310321), we get a palindrome (145336303633541).

The spelling of 123013300323220 in words is "one hundred twenty-three trillion, thirteen billion, three hundred million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1993 3986 7972 9965 19930 39860 57797 115594 231188 288985 577970 1155940 106418413 212836826 425673652 532092065 1064184130 2128368260 3086133977 6172267954 12344535908 15430669885 30861339770 61722679540 212091897109 424183794218 848367588436 1060459485545 2120918971090 4241837942180 6150665016161 12301330032322 24602660064644 30753325080805 61506650161610 123013300323220