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101001020022012 = 223114145834072097
BaseRepresentation
bin10110111101110000100001…
…111010111001110011111100
3111020121121021202002102220210
4112331300201322321303330
5101214300042111201022
6554451121131512420
730163040301012345
oct2675604172716374
9436547252072823
10101001020022012
112a200323790770
12b3b28112b8710
13444848083c0b6
141ad26928d90cc
15ba240586ea0c
hex5bdc21eb9cfc

101001020022012 has 96 divisors (see below), whose sum is σ = 263421608937984. Its totient is φ = 29853350195200.

The previous prime is 101001020021989. The next prime is 101001020022017. The reversal of 101001020022012 is 210220020100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001020022017) 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, 22767148 + ... + 26839244.

It is an arithmetic number, because the mean of its divisors is an integer number (2743975093104).

Almost surely, 2101001020022012 is an apocalyptic number.

101001020022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001020022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131710804468992).

101001020022012 is an abundant number, since it is smaller than the sum of its proper divisors (162420588915972).

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

101001020022012 is a wasteful number, since it uses less digits than its factorization.

101001020022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076739 (or 4076737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101001020022012 its reverse (210220020100101), we get a palindrome (311221040122113).

The spelling of 101001020022012 in words is "one hundred one trillion, one billion, twenty million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 4583 5412 9166 13749 18332 27498 50413 54996 100826 151239 187903 201652 302478 375806 563709 604956 751612 1127418 2066933 2254836 4072097 4133866 6200799 8144194 8267732 12216291 12401598 16288388 24432582 24803196 44793067 48865164 89586134 134379201 166955977 179172268 268758402 333911954 500867931 537516804 667823908 1001735862 1836515747 2003471724 3673031494 5509547241 7346062988 11019094482 18662420551 22038188964 37324841102 55987261653 74649682204 111974523306 205286626061 223949046612 410573252122 615859878183 765159242591 821146504244 1231719756366 1530318485182 2295477727773 2463439512732 3060636970364 4590955455546 8416751668501 9181910911092 16833503337002 25250255005503 33667006674004 50500510011006 101001020022012