Search a number
-
+
123213220 = 225133115287
BaseRepresentation
bin1110101100000…
…01010110100100
322120211212202121
413112001112210
5223020310340
620120515324
73024203134
oct726012644
9276755677
10123213220
1163606a09
123531bb44
131c6b0640
1412514ac4
15ac3c94a
hex75815a4

123213220 has 48 divisors (see below), whose sum is σ = 287659008. Its totient is φ = 44023680.

The previous prime is 123213203. The next prime is 123213247. The reversal of 123213220 is 22312321.

It is a super-3 number, since 3×1232132203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123213194 and 123213203.

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, 417 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (5992896).

Almost surely, 2123213220 is an apocalyptic number.

123213220 is a gapful number since it is divisible by the number (10) 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 123213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143829504).

123213220 is an abundant number, since it is smaller than the sum of its proper divisors (164445788).

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

123213220 is a wasteful number, since it uses less digits than its factorization.

123213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15340 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 123213220 is about 11100.1450440974. The cubic root of 123213220 is about 497.6061842488.

Adding to 123213220 its reverse (22312321), we get a palindrome (145525541).

The spelling of 123213220 in words is "one hundred twenty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 15287 30574 61148 76435 152870 198731 305740 397462 473897 794924 947794 993655 1895588 1987310 2369485 3974620 4738970 6160661 9477940 12321322 24642644 30803305 61606610 123213220