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21202121112 = 2334364132051
BaseRepresentation
bin10011101111101111…
…101011000110011000
32000201121112100101220
4103233233223012120
5321410220333422
613423511012040
71350260025114
oct235757530630
960647470356
1021202121112
118aa0054447
12413866a020
131ccb7626c3
141051c08744
15841574e5c
hex4efbeb198

21202121112 has 64 divisors (see below), whose sum is σ = 54324293760. Its totient is φ = 6892032000.

The previous prime is 21202121111. The next prime is 21202121173. The reversal of 21202121112 is 21112120212.

It is a super-2 number, since 2×212021211122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21202121091 and 21202121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645487 + ... + 677537.

It is an arithmetic number, because the mean of its divisors is an integer number (848817090).

Almost surely, 221202121112 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 21202121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27162146880).

21202121112 is an abundant number, since it is smaller than the sum of its proper divisors (33122172648).

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

21202121112 is a wasteful number, since it uses less digits than its factorization.

21202121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 32740 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21202121112 its reverse (21112120212), we get a palindrome (42314241324).

The spelling of 21202121112 in words is "twenty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 641 1032 1282 1923 2564 3846 5128 7692 15384 27563 32051 55126 64102 82689 96153 110252 128204 165378 192306 220504 256408 330756 384612 661512 769224 1378193 2756386 4134579 5512772 8269158 11025544 16538316 20544691 33076632 41089382 61634073 82178764 123268146 164357528 246536292 493072584 883421713 1766843426 2650265139 3533686852 5300530278 7067373704 10601060556 21202121112