Search a number
-
+
21202220112 = 2433739730071
BaseRepresentation
bin10011101111110000…
…000011010001010000
32000201121201101012120
4103233300003101100
5321410232020422
613423513054240
71350260616543
oct235760032120
960647641176
1021202220112
118aa0111867
1241386b7380
131ccb798798
141051c3285a
1584159445c
hex4efc03450

21202220112 has 80 divisors (see below), whose sum is σ = 56396307072. Its totient is φ = 6858846720.

The previous prime is 21202220077. The next prime is 21202220183. The reversal of 21202220112 is 21102220212.

It is a super-3 number, since 3×212022201123 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21202220091 and 21202220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690037 + ... + 720107.

Almost surely, 221202220112 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 21202220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28198153536).

21202220112 is an abundant number, since it is smaller than the sum of its proper divisors (35194086960).

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

21202220112 is a wasteful number, since it uses less digits than its factorization.

21202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30516 (or 30510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21202220112 its reverse (21102220212), we get a palindrome (42304440324).

The spelling of 21202220112 in words is "twenty-one billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 397 444 592 794 888 1191 1588 1776 2382 3176 4764 6352 9528 14689 19056 29378 30071 44067 58756 60142 88134 90213 117512 120284 176268 180426 235024 240568 352536 360852 481136 705072 721704 1112627 1443408 2225254 3337881 4450508 6675762 8901016 11938187 13351524 17802032 23876374 26703048 35814561 47752748 53406096 71629122 95505496 143258244 191010992 286516488 441712919 573032976 883425838 1325138757 1766851676 2650277514 3533703352 5300555028 7067406704 10601110056 21202220112