[go: up one dir, main page]

Search a number
-
+
123341022 = 23372831153
BaseRepresentation
bin1110101101000…
…00100011011110
322121002101002000
413112200203132
5223033403042
620123343130
73025244550
oct726404336
9277071060
10123341022
1163693a32
1235381aa6
131c72686c
14125494d0
15ac6574c
hex75a08de

123341022 has 64 divisors (see below), whose sum is σ = 314626560. Its totient is φ = 35085312.

The previous prime is 123340999. The next prime is 123341039. The reversal of 123341022 is 220143321.

123341022 is a `hidden beast` number, since 1 + 233 + 410 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123340986 and 123341004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106398 + ... + 107550.

It is an arithmetic number, because the mean of its divisors is an integer number (4916040).

Almost surely, 2123341022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123341022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157313280).

123341022 is an abundant number, since it is smaller than the sum of its proper divisors (191285538).

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

123341022 is a wasteful number, since it uses less digits than its factorization.

123341022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123341022 is about 11105.9003237018. The cubic root of 123341022 is about 497.7781709085.

Adding to 123341022 its reverse (220143321), we get a palindrome (343484343).

The spelling of 123341022 in words is "one hundred twenty-three million, three hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 283 378 566 849 1153 1698 1981 2306 2547 3459 3962 5094 5943 6918 7641 8071 10377 11886 15282 16142 17829 20754 24213 31131 35658 48426 53487 62262 72639 106974 145278 217917 326299 435834 652598 978897 1957794 2284093 2936691 4568186 5873382 6852279 8810073 13704558 17620146 20556837 41113674 61670511 123341022