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10010022011022 = 231119101263300511
BaseRepresentation
bin1001000110101010001111…
…0011100110000010001110
31022102221121122102011101210
42101222203303212002032
52303001011113323042
633142312435315250
72052125451132315
oct221524363460216
938387548364353
1010010022011022
11320a254512260
12115801414bb26
13577c30581567
142686b818127c
151255b4beca9c
hex91aa3ce608e

10010022011022 has 128 divisors (see below), whose sum is σ = 23305498951680. Its totient is φ = 2834410320000.

The previous prime is 10010022010957. The next prime is 10010022011023. The reversal of 10010022011022 is 22011022001001.

It is a super-2 number, since 2×100100220110222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010022010989 and 10010022011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010022011023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33159747 + ... + 33460257.

It is an arithmetic number, because the mean of its divisors is an integer number (182074210560).

Almost surely, 210010022011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010022011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652749475840).

10010022011022 is an abundant number, since it is smaller than the sum of its proper divisors (13295476940658).

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

10010022011022 is a wasteful number, since it uses less digits than its factorization.

10010022011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300910.

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

Adding to 10010022011022 its reverse (22011022001001), we get a palindrome (32021044012023).

It can be divided in two parts, 100100 and 22011022, that added together give a palindrome (22111122).

The spelling of 10010022011022 in words is "ten trillion, ten billion, twenty-two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 263 303 418 526 606 627 789 1111 1254 1578 1919 2222 2893 3333 3838 4997 5757 5786 6666 8679 9994 11514 14991 17358 21109 26563 29982 42218 53126 54967 63327 79689 109934 126654 159378 164901 292193 300511 329802 504697 584386 601022 876579 901533 1009394 1514091 1753158 1803066 3028182 3305621 5551667 5709709 6611242 9916863 11103334 11419418 16655001 17129127 19833726 30351611 33310002 34258254 60703222 62806799 79034393 91054833 125613598 158068786 182109666 188420397 237103179 333867721 376840794 474206358 576680609 667735442 869378323 1001603163 1153361218 1501653467 1730041827 1738756646 2003206326 2608134969 3003306934 3460083654 4504960401 5216269938 6343486699 7982473693 9009920802 12686973398 15964947386 16518188137 19030460097 23947421079 33036376274 38060920194 47894842158 49554564411 87807210623 99109128822 151667000167 175614421246 263421631869 303334000334 455001000501 526843263738 910002001002 1668337001837 3336674003674 5005011005511 10010022011022