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1012022012022 = 237592903140683
BaseRepresentation
bin11101011101000010011…
…01100110100001110110
310120202012112221220122120
432232201031212201312
5113040110113341042
62052525543540410
7133054564111530
oct16564115464166
93522175856576
101012022012022
1136021805151a
1214417815a706
1374582b69518
1436da6d54850
151b4d1dd3dec
hexeba1366876

1012022012022 has 64 divisors (see below), whose sum is σ = 2353226895360. Its totient is φ = 284148378144.

The previous prime is 1012022011997. The next prime is 1012022012041. The reversal of 1012022012022 is 2202102202101.

It is a super-2 number, since 2×10120220120222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012022011992 and 1012022012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7123293 + ... + 7263975.

It is an arithmetic number, because the mean of its divisors is an integer number (36769170240).

Almost surely, 21012022012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012022012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176613447680).

1012022012022 is an abundant number, since it is smaller than the sum of its proper divisors (1341204883338).

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

1012022012022 is a wasteful number, since it uses less digits than its factorization.

1012022012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143657.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1012022012022 its reverse (2202102202101), we get a palindrome (3214124214123).

The spelling of 1012022012022 in words is "one trillion, twelve billion, twenty-two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 2903 5806 8709 17418 20321 40642 60963 121926 140683 171277 281366 342554 422049 513831 844098 984781 1027662 1198939 1969562 2397878 2954343 3596817 5908686 7193634 8300297 16600594 24900891 49801782 58102079 116204158 174306237 348612474 408402749 816805498 1225208247 2450416494 2858819243 5717638486 8576457729 17152915458 24095762191 48191524382 72287286573 144574573146 168670335337 337340670674 506011006011 1012022012022