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21202321122 = 23219378871889
BaseRepresentation
bin10011101111110000…
…011011111011100010
32000201121220111202200
4103233300123323202
5321410243233442
613423515154030
71350261520203
oct235760337342
960647814680
1021202321122
118aa0180744
124138745916
131ccb802758
141051c5b5aa
158415b434c
hex4efc1bee2

21202321122 has 96 divisors (see below), whose sum is σ = 49745404800. Its totient is φ = 6503721984.

The previous prime is 21202321099. The next prime is 21202321123. The reversal of 21202321122 is 22112320212.

21202321122 is a `hidden beast` number, since 21 + 202 + 321 + 122 = 666.

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 = 21202321095 and 21202321104.

It is not an unprimeable number, because it can be changed into a prime (21202321123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11223154 + ... + 11225042.

It is an arithmetic number, because the mean of its divisors is an integer number (518181300).

Almost surely, 221202321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872702400).

21202321122 is an abundant number, since it is smaller than the sum of its proper divisors (28543083678).

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

21202321122 is a wasteful number, since it uses less digits than its factorization.

21202321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21202321122 its reverse (22112320212), we get a palindrome (43314641334).

The spelling of 21202321122 in words is "twenty-one billion, two hundred two million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 887 1406 1774 1889 2109 2661 3778 4218 5322 5667 6327 7983 11334 12654 15966 16853 17001 32819 33706 34002 35891 50559 65638 69893 71782 98457 101118 107673 139786 151677 196914 209679 215346 295371 303354 323019 419358 590742 623561 629037 646038 1247122 1258074 1327967 1675543 1870683 2655934 3351086 3741366 3983901 5026629 5612049 7967802 10053258 11224098 11951703 15079887 23903406 30159774 31835317 61995091 63670634 95505951 123990182 185985273 191011902 286517853 371970546 557955819 573035706 1115911638 1177906729 2355813458 3533720187 7067440374 10601160561 21202321122