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3123124242 = 2374115112011
BaseRepresentation
bin1011101000100111…
…0001100000010010
322001122201011001020
42322021301200102
522344004433432
61233523220310
7140252055330
oct27211614022
98048634036
103123124242
111362a16517
12731b17696
133aa063514
14218ad6b50
151342b522c
hexba271812

3123124242 has 64 divisors (see below), whose sum is σ = 7361722368. Its totient is φ = 864720000.

The previous prime is 3123124241. The next prime is 3123124267. The reversal of 3123124242 is 2424213213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3123124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254017 + ... + 266027.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 23123124242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123124242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680861184).

3123124242 is an abundant number, since it is smaller than the sum of its proper divisors (4238598126).

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

3123124242 is a wasteful number, since it uses less digits than its factorization.

3123124242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215.

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

The square root of 3123124242 is about 55884.9196295387. The cubic root of 3123124242 is about 1461.7162905771.

Adding to 3123124242 its reverse (2424213213), we get a palindrome (5547337455).

The spelling of 3123124242 in words is "three billion, one hundred twenty-three million, one hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 151 246 287 302 453 574 861 906 1057 1722 2114 3171 6191 6342 12011 12382 18573 24022 36033 37146 43337 72066 84077 86674 130011 168154 252231 260022 492451 504462 984902 1477353 1813661 2954706 3447157 3627322 5440983 6894314 10341471 10881966 12695627 20682942 25391254 38086881 74360101 76173762 148720202 223080303 446160606 520520707 1041041414 1561562121 3123124242