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21022331022 = 23271132714637
BaseRepresentation
bin10011100101000001…
…110101000010001110
32000021002020001202200
4103211001311002032
5321023204043042
613354005302330
71342644602550
oct234501650216
960232201680
1021022331022
118a086154a0
1240a84049a6
131ca0433234
141035da74d0
158308adc4c
hex4e507508e

21022331022 has 96 divisors (see below), whose sum is σ = 56817206784. Its totient is φ = 5457499200.

The previous prime is 21022331009. The next prime is 21022331023. The reversal of 21022331022 is 22013322012.

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 = 21022330986 and 21022331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022331023) 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, 4531288 + ... + 4535924.

It is an arithmetic number, because the mean of its divisors is an integer number (591845904).

Almost surely, 221022331022 is an apocalyptic number.

21022331022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28408603392).

21022331022 is an abundant number, since it is smaller than the sum of its proper divisors (35794875762).

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

21022331022 is a wasteful number, since it uses less digits than its factorization.

21022331022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21022331022 its reverse (22013322012), we get a palindrome (43035653034).

The spelling of 21022331022 in words is "twenty-one billion, twenty-two million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3271 4637 6542 9274 9813 13911 19626 22897 27822 29439 32459 35981 41733 45794 51007 58878 64918 68691 71962 83466 97377 102014 107943 137382 153021 194754 206073 215886 251867 292131 306042 323829 357049 412146 459063 503734 584262 647658 714098 755601 918126 1071147 1511202 2142294 2266803 3213441 4533606 6426882 15167627 30335254 45502881 91005762 106173389 136508643 166843897 212346778 273017286 318520167 333687794 500531691 637040334 955560501 1001063382 1167907279 1501595073 1911121002 2335814558 3003190146 3503721837 7007443674 10511165511 21022331022