[go: up one dir, main page]

Search a number
-
+
123311056 = 24113197233
BaseRepresentation
bin1110101100110…
…01001111010000
322121000211222011
413112121033100
5223031423211
620122552304
73025061311
oct726311720
9277024864
10123311056
1163673470
1235368694
131c71602b
141253c608
15ac5b921
hex75993d0

123311056 has 80 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 53452800.

The previous prime is 123311053. The next prime is 123311099. The reversal of 123311056 is 650113321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311051) 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, 529116 + ... + 529348.

Almost surely, 2123311056 is an apocalyptic number.

123311056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123311056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

123311056 is an abundant number, since it is smaller than the sum of its proper divisors (149671472).

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

123311056 is a wasteful number, since it uses less digits than its factorization.

123311056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 123311056 is about 11104.5511390601. The cubic root of 123311056 is about 497.7378555060.

Adding to 123311056 its reverse (650113321), we get a palindrome (773424377).

The spelling of 123311056 in words is "one hundred twenty-three million, three hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 97 124 176 194 233 248 341 388 466 496 682 776 932 1067 1364 1552 1864 2134 2563 2728 3007 3728 4268 5126 5456 6014 7223 8536 10252 12028 14446 17072 20504 22601 24056 28892 33077 41008 45202 48112 57784 66154 79453 90404 115568 132308 158906 180808 248611 264616 317812 361616 497222 529232 635624 700631 994444 1271248 1401262 1988888 2802524 3977776 5605048 7706941 11210096 15413882 30827764 61655528 123311056