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13220022024 = 23321133749531
BaseRepresentation
bin11000100111111100…
…11000011100001000
31021010022210200221100
430103332120130020
5204033311201044
610023450541400
7645414222156
oct142376303410
937108720840
1013220022024
1156743a3240
12268b437860
131328b49451
148d5a803d6
15525913869
hex313f98708

13220022024 has 96 divisors (see below), whose sum is σ = 39175849440. Its totient is φ = 3994099200.

The previous prime is 13220022017. The next prime is 13220022047. The reversal of 13220022024 is 42022002231.

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 = 13220021988 and 13220022006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242139 + ... + 291669.

It is an arithmetic number, because the mean of its divisors is an integer number (408081765).

Almost surely, 213220022024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220022024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587924720).

13220022024 is an abundant number, since it is smaller than the sum of its proper divisors (25955827416).

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

13220022024 is a wasteful number, since it uses less digits than its factorization.

13220022024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49891 (or 49884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13220022024 its reverse (42022002231), we get a palindrome (55242024255).

The spelling of 13220022024 in words is "thirteen billion, two hundred twenty million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 337 396 674 792 1011 1348 2022 2696 3033 3707 4044 6066 7414 8088 11121 12132 14828 22242 24264 29656 33363 44484 49531 66726 88968 99062 133452 148593 198124 266904 297186 396248 445779 544841 594372 891558 1089682 1188744 1634523 1783116 2179364 3269046 3566232 4358728 4903569 6538092 9807138 13076184 16691947 19614276 33383894 39228552 50075841 66767788 100151682 133535576 150227523 183611417 200303364 300455046 367222834 400606728 550834251 600910092 734445668 1101668502 1201820184 1468891336 1652502753 2203337004 3305005506 4406674008 6610011012 13220022024