Search a number
-
+
123023401242 = 23724182312401
BaseRepresentation
bin111001010010011000…
…1000010000100011010
3102202112201020022022020
41302210301002010122
54003422442314432
6132303254235310
711613430441200
oct1624461020432
9382481208266
10123023401242
11481a0559235
121ba14355b36
13b7a76a31a1
145d50ac1070
15330061d22c
hex1ca4c4211a

123023401242 has 96 divisors (see below), whose sum is σ = 293578556544. Its totient is φ = 34247808000.

The previous prime is 123023401229. The next prime is 123023401243. The reversal of 123023401242 is 242104320321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123023401243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9914242 + ... + 9926642.

It is an arithmetic number, because the mean of its divisors is an integer number (3058109964).

Almost surely, 2123023401242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123023401242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146789278272).

123023401242 is an abundant number, since it is smaller than the sum of its proper divisors (170555155302).

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

123023401242 is a wasteful number, since it uses less digits than its factorization.

123023401242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123023401242 its reverse (242104320321), we get a palindrome (365127721563).

The spelling of 123023401242 in words is "one hundred twenty-three billion, twenty-three million, four hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 823 861 1646 1722 2009 2469 4018 4938 5761 6027 11522 12054 12401 17283 24802 33743 34566 37203 40327 67486 74406 80654 86807 101229 120981 173614 202458 236201 241962 260421 472402 508441 520842 607649 708603 1016882 1215298 1417206 1525323 1653407 1822947 3050646 3306814 3559087 3645894 4960221 7118174 9920442 10206023 10677261 20412046 21354522 24913609 30618069 49827218 61236138 71442161 74740827 142884322 149481654 214326483 418446943 428652966 500095127 836893886 1000190254 1255340829 1500285381 2510681658 2929128601 3000570762 5858257202 8787385803 17574771606 20503900207 41007800414 61511700621 123023401242