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21022322322012 = 223111967181124769
BaseRepresentation
bin1001100011110101001000…
…00011011110101001011100
32202102201021210021101021220
410301322210003132221130
510223412204003301022
6112413304353253340
74266545513255634
oct461724403365134
982381253241256
1021022322322012
116775575999940
122436325264250
13b9652011662b
145296b31896c4
15266c8b19885c
hex131ea40dea5c

21022322322012 has 96 divisors (see below), whose sum is σ = 56329043500800. Its totient is φ = 6034978252800.

The previous prime is 21022322321951. The next prime is 21022322322017.

21022322322012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022322322017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168427564 + ... + 168552332.

It is an arithmetic number, because the mean of its divisors is an integer number (586760869800).

Almost surely, 221022322322012 is an apocalyptic number.

21022322322012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21022322322012 is an abundant number, since it is smaller than the sum of its proper divisors (35306721178788).

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

21022322322012 is a wasteful number, since it uses less digits than its factorization.

21022322322012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191987 (or 191985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2102232 and 2322012, that added together give a palindrome (4424244).

The spelling of 21022322322012 in words is "twenty-one trillion, twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 67181 124769 134362 201543 249538 268724 374307 403086 499076 738991 748614 806172 1276439 1372459 1477982 1497228 2216973 2370611 2552878 2744918 2955964 3829317 4117377 4433946 4741222 5105756 5489836 7111833 7658634 8234754 8867892 9482444 14040829 14223666 15317268 16469508 26076721 28081658 28447332 42122487 52153442 56163316 78230163 84244974 104306884 156460326 168489948 312920652 8382106189 16764212378 25146318567 33528424756 50292637134 92203168079 100585274268 159260017591 184406336158 276609504237 318520035182 368812672316 477780052773 553219008474 637040070364 955560105546 1106438016948 1751860193501 1911120211092 3503720387002 5255580580503 7007440774004 10511161161006 21022322322012