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1022213001114 = 23497169738333
BaseRepresentation
bin11101110000000001010…
…01001000111110011010
310121201111210002210120000
432320000221020332122
5113221443012013424
62101333112113430
7133565251101144
oct16700051107632
93551453083500
101022213001114
11364577654458
12146141095876
13755182a7696
14376925d1c94
151b8cb91b3c9
hexee00a48f9a

1022213001114 has 80 divisors (see below), whose sum is σ = 2315551929768. Its totient is φ = 337017397248.

The previous prime is 1022213001077. The next prime is 1022213001119. The reversal of 1022213001114 is 4111003122201.

It can be written as a sum of positive squares in 4 ways, for example, as 1021241619225 + 971381889 = 1010565^2 + 31167^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022213001119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26647492 + ... + 26685824.

Almost surely, 21022213001114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022213001114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157775964884).

1022213001114 is an abundant number, since it is smaller than the sum of its proper divisors (1293338928654).

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

1022213001114 is a wasteful number, since it uses less digits than its factorization.

1022213001114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40141 (or 40132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1022213001114 its reverse (4111003122201), we get a palindrome (5133216123315).

The spelling of 1022213001114 in words is "one trillion, twenty-two billion, two hundred thirteen million, one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1697 1746 2619 3394 5091 5238 7857 10182 15273 15714 30546 38333 45819 76666 91638 114999 137457 164609 229998 274914 329218 344997 493827 689994 987654 1034991 1481481 2069982 2962962 3104973 3718301 4444443 6209946 7436602 8888886 11154903 13333329 22309806 26666658 33464709 65051101 66929418 100394127 130102202 195153303 200788254 301182381 390306606 585459909 602364762 1170919818 1756379727 3512759454 5269139181 6309956797 10538278362 12619913594 18929870391 37859740782 56789611173 113579222346 170368833519 340737667038 511106500557 1022213001114