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22121021013 = 37133111532267
BaseRepresentation
bin10100100110100000…
…111111111001010101
32010002122121022002120
4110212200333321111
5330300440133023
614055014130153
71412115401430
oct244640777125
963078538076
1022121021013
119421815553
124354350959
132116c45860
1410dbc84817
158970868e3
hex52683fe55

22121021013 has 64 divisors (see below), whose sum is σ = 37521211392. Its totient is φ = 11277066240.

The previous prime is 22121021003. The next prime is 22121021047. The reversal of 22121021013 is 31012012122.

It is not a de Polignac number, because 22121021013 - 29 = 22121020501 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121020983 and 22121021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9756706 + ... + 9758972.

It is an arithmetic number, because the mean of its divisors is an integer number (586268928).

Almost surely, 222121021013 is an apocalyptic number.

It is an amenable number.

22121021013 is a deficient number, since it is larger than the sum of its proper divisors (15400190379).

22121021013 is a wasteful number, since it uses less digits than its factorization.

22121021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22121021013 its reverse (31012012122), we get a palindrome (53133033135).

The spelling of 22121021013 in words is "twenty-two billion, one hundred twenty-one million, twenty-one thousand, thirteen".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1153 1209 2267 2821 3459 6801 8071 8463 14989 15869 24213 29471 35743 44967 47607 70277 88413 104923 107229 206297 210831 250201 314769 464659 491939 618891 750603 913601 1393977 1475817 2613851 2740803 3252613 6395207 7841553 9757839 18296957 19185621 33980063 54890871 81029381 101940189 237860441 243088143 567205667 713581323 1053381953 1701617001 3160145859 7373673671 22121021013