Search a number
-
+
123220233234 = 2337325979453
BaseRepresentation
bin111001011000001111…
…1111000110000010010
3102210001102121102001000
41302300133320300102
54004323334430414
6132335005122430
711621340462330
oct1626037706022
9383042542030
10123220233234
1148291677aaa
121ba6a259416
13b8093bb517
145d6ccbab50
153312a4db09
hex1cb07f8c12

123220233234 has 32 divisors (see below), whose sum is σ = 312940275840. Its totient is φ = 35205780816.

The previous prime is 123220233179. The next prime is 123220233259. The reversal of 123220233234 is 432332022321.

123220233234 is a `hidden beast` number, since 1 + 2 + 322 + 0 + 2 + 332 + 3 + 4 = 666.

It is a super-4 number, since 4×1232202332344 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123220233198 and 123220233207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162989349 + ... + 162990104.

It is an arithmetic number, because the mean of its divisors is an integer number (9779383620).

Almost surely, 2123220233234 is an apocalyptic number.

123220233234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123220233234 is an abundant number, since it is smaller than the sum of its proper divisors (189720042606).

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

123220233234 is a wasteful number, since it uses less digits than its factorization.

123220233234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325979471 (or 325979465 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 123220233234 its reverse (432332022321), we get a palindrome (555552255555).

The spelling of 123220233234 in words is "one hundred twenty-three billion, two hundred twenty million, two hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 325979453 651958906 977938359 1955876718 2281856171 2933815077 4563712342 5867630154 6845568513 8801445231 13691137026 17602890462 20536705539 41073411078 61610116617 123220233234