Search a number
-
+
21223131120 = 2432529476571
BaseRepresentation
bin10011110000111111…
…110100011111110000
32000210002001202201100
4103300333310133300
5321431110143440
613425541204400
71350633431562
oct236077643760
960702052640
1021223131120
1190009a4594
124143700700
132002c0a769
141054917332
15843325230
hex4f0ff47f0

21223131120 has 60 divisors (see below), whose sum is σ = 71274351096. Its totient is φ = 5659501440.

The previous prime is 21223131089. The next prime is 21223131187. The reversal of 21223131120 is 2113132212.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 21223131093 and 21223131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14737566 + ... + 14739005.

Almost surely, 221223131120 is an apocalyptic number.

21223131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223131120 is an abundant number, since it is smaller than the sum of its proper divisors (50051219976).

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

21223131120 is a wasteful number, since it uses less digits than its factorization.

21223131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29476590 (or 29476581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21223131120 its reverse (2113132212), we get a palindrome (23336263332).

The spelling of 21223131120 in words is "twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 29476571 58953142 88429713 117906284 147382855 176859426 235812568 265289139 294765710 353718852 442148565 471625136 530578278 589531420 707437704 884297130 1061156556 1179062840 1326445695 1414875408 1768594260 2122313112 2358125680 2652891390 3537188520 4244626224 5305782780 7074377040 10611565560 21223131120