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22000121022 = 23112176772633
BaseRepresentation
bin10100011111010011…
…110011010010111110
32002210020002221111010
4110133103303102332
5330024012333042
614035014540050
71406116641345
oct243723632276
962706087433
1022000121022
11936a549600
12431b967626
1320c7b950b9
1410c9bb2b5c
1588b65459c
hex51f4f34be

22000121022 has 96 divisors (see below), whose sum is σ = 51303956256. Its totient is φ = 6262896640.

The previous prime is 22000121021. The next prime is 22000121047. The reversal of 22000121022 is 22012100022.

It is a junction number, because it is equal to n+sod(n) for n = 22000120989 and 22000121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000121021) 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, 8354218 + ... + 8356850.

It is an arithmetic number, because the mean of its divisors is an integer number (534416211).

Almost surely, 222000121022 is an apocalyptic number.

22000121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25651978128).

22000121022 is an abundant number, since it is smaller than the sum of its proper divisors (29303835234).

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

22000121022 is a wasteful number, since it uses less digits than its factorization.

22000121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22000121022 its reverse (22012100022), we get a palindrome (44012221044).

The spelling of 22000121022 in words is "twenty-two billion, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 677 726 1122 1354 2031 2057 2633 4062 4114 5266 6171 7447 7899 11509 12342 14894 15798 22341 23018 28963 34527 44682 44761 57926 69054 81917 86889 89522 126599 134283 163834 173778 245751 253198 268566 318593 379797 491502 492371 637186 759594 955779 984742 1392589 1477113 1782541 1911558 2785178 2954226 3565082 4177767 5347623 5416081 8355534 10695246 10832162 16248243 19607951 30303197 32496486 39215902 58823853 60606394 90909591 117647706 181819182 215687461 333335167 431374922 647062383 666670334 1000005501 1294124766 2000011002 3666686837 7333373674 11000060511 22000121022