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2013312024 = 23345415743
BaseRepresentation
bin111100000000000…
…1011010000011000
312012022101211220000
41320000023100120
513110401441044
6531440133000
7100614604233
oct17000132030
95168354800
102013312024
1194350a139
12482307160
132611585b9
1415156241a
15bbb41d69
hex7800b418

2013312024 has 80 divisors (see below), whose sum is σ = 5650545120. Its totient is φ = 669746880.

The previous prime is 2013312017. The next prime is 2013312053. The reversal of 2013312024 is 4202133102.

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 = 2013311988 and 2013312006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347697 + ... + 353439.

It is an arithmetic number, because the mean of its divisors is an integer number (70631814).

Almost surely, 22013312024 is an apocalyptic number.

2013312024 is a gapful number since it is divisible by the number (24) 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 2013312024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825272560).

2013312024 is an abundant number, since it is smaller than the sum of its proper divisors (3637233096).

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

2013312024 is a wasteful number, since it uses less digits than its factorization.

2013312024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6289 counting only the distinct ones).

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

The square root of 2013312024 is about 44869.9456652223. The cubic root of 2013312024 is about 1262.7102206421.

Adding to 2013312024 its reverse (4202133102), we get a palindrome (6215445126).

The spelling of 2013312024 in words is "two billion, thirteen million, three hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 541 648 1082 1623 2164 3246 4328 4869 5743 6492 9738 11486 12984 14607 17229 19476 22972 29214 34458 38952 43821 45944 51687 58428 68916 87642 103374 116856 137832 155061 175284 206748 310122 350568 413496 465183 620244 930366 1240488 1860732 3106963 3721464 6213926 9320889 12427852 18641778 24855704 27962667 37283556 55925334 74567112 83888001 111850668 167776002 223701336 251664003 335552004 503328006 671104008 1006656012 2013312024