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21122112200 = 2352791916417
BaseRepresentation
bin10011101010111110…
…011101101011001000
32000112000222110210212
4103222332131223020
5321224230042300
613411532100252
71345265664020
oct235276355310
960460873725
1021122112200
118a59977582
124115904688
131cb7ccb257
14104533ca80
1583951d935
hex4eaf9dac8

21122112200 has 96 divisors (see below), whose sum is σ = 56188963200. Its totient is φ = 7233546240.

The previous prime is 21122112191. The next prime is 21122112203. The reversal of 21122112200 is 221122112.

It is a super-2 number, since 2×211221122002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21122112203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278392 + ... + 1294808.

It is an arithmetic number, because the mean of its divisors is an integer number (585301700).

Almost surely, 221122112200 is an apocalyptic number.

21122112200 is a gapful number since it is divisible by the number (20) 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 21122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094481600).

21122112200 is an abundant number, since it is smaller than the sum of its proper divisors (35066851000).

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

21122112200 is a wasteful number, since it uses less digits than its factorization.

21122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122112200 its reverse (221122112), we get a palindrome (21343234312).

The spelling of 21122112200 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 919 1400 1838 3676 4595 6433 7352 9190 12866 16417 18380 22975 25732 32165 32834 36760 45950 51464 64330 65668 82085 91900 114919 128660 131336 160825 164170 183800 229838 257320 321650 328340 410425 459676 574595 643300 656680 820850 919352 1149190 1286600 1641700 2298380 2872975 3283400 4596760 5745950 11491900 15087223 22983800 30174446 60348892 75436115 105610561 120697784 150872230 211221122 301744460 377180575 422442244 528052805 603488920 754361150 844884488 1056105610 1508722300 2112211220 2640264025 3017444600 4224422440 5280528050 10561056100 21122112200