Search a number
-
+
3123201144 = 233731599693
BaseRepresentation
bin1011101000101000…
…0100010001111000
322001122212001112110
42322022010101320
522344014414034
61233525012320
7140252525460
oct27212042170
98048761473
103123201144
111362a69278
12731b540a0
133aa08c51b
14218b16ba0
151342ccde9
hexba284478

3123201144 has 64 divisors (see below), whose sum is σ = 9211299840. Its totient is φ = 863556480.

The previous prime is 3123201127. The next prime is 3123201173. The reversal of 3123201144 is 4411023213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3123201144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 294639 + ... + 305054.

It is an arithmetic number, because the mean of its divisors is an integer number (143926560).

Almost surely, 23123201144 is an apocalyptic number.

It is an amenable number.

3123201144 is an abundant number, since it is smaller than the sum of its proper divisors (6088098696).

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

3123201144 is a wasteful number, since it uses less digits than its factorization.

3123201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599740 (or 599736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3123201144 is about 55885.6076642278. The cubic root of 3123201144 is about 1461.7282879634.

Adding to 3123201144 its reverse (4411023213), we get a palindrome (7534224357).

The spelling of 3123201144 in words is "three billion, one hundred twenty-three million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 599693 1199386 1799079 2398772 3598158 4197851 4797544 7196316 8395702 12593553 14392632 16791404 18590483 25187106 33582808 37180966 50374212 55771449 74361932 100748424 111542898 130133381 148723864 223085796 260266762 390400143 446171592 520533524 780800286 1041067048 1561600572 3123201144