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1022010314022 = 2321779201121023
BaseRepresentation
bin11101101111101001000…
…11111100110100100110
310121200222122201020010200
432313310203330310212
5113221034120022042
62101301031531330
7133560240222525
oct16676443746446
93550878636120
101022010314022
113644831a6665
121460a5229b46
13754b52bc2a9
14376737104bc
151b8b8c30c4c
hexedf48fcd26

1022010314022 has 96 divisors (see below), whose sum is σ = 2375584174080. Its totient is φ = 316399599360.

The previous prime is 1022010314021. The next prime is 1022010314027. The reversal of 1022010314022 is 2204130102201.

It is a happy number.

1022010314022 is a `hidden beast` number, since 1 + 0 + 220 + 10 + 31 + 402 + 2 = 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 = 1022010313986 and 1022010314004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010314021) 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, 48603403 + ... + 48624425.

It is an arithmetic number, because the mean of its divisors is an integer number (24745668480).

Almost surely, 21022010314022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022010314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187792087040).

1022010314022 is an abundant number, since it is smaller than the sum of its proper divisors (1353573860058).

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

1022010314022 is a wasteful number, since it uses less digits than its factorization.

1022010314022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23138 (or 23135 counting only the distinct ones).

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

Adding to 1022010314022 its reverse (2204130102201), we get a palindrome (3226140416223).

The spelling of 1022010314022 in words is "one trillion, twenty-two billion, ten million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 474 711 1343 1422 2011 2686 4022 4029 6033 8058 12066 12087 18099 21023 24174 34187 36198 42046 63069 68374 102561 126138 158869 189207 205122 307683 317738 357391 378414 476607 615366 714782 953214 1072173 1429821 1660817 2144346 2700773 2859642 3216519 3321634 4982451 5401546 6433038 8102319 9964902 14947353 16204638 24306957 28233889 29894706 42277253 48613914 56467778 84554506 84701667 126831759 169403334 253663518 254105001 380495277 508210002 718713301 760990554 1437426602 2156139903 3339902987 4312279806 6468419709 6679805974 10019708961 12936839418 20039417922 30059126883 56778350779 60118253766 113556701558 170335052337 340670104674 511005157011 1022010314022