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21121342242 = 237111315312297
BaseRepresentation
bin10011101010111011…
…100001101100100010
32000111222112100121220
4103222323201230202
5321224030422432
613411503355510
71345256306160
oct235273415442
960458470556
1021121342242
118a594a1050
1241155b2b96
131cb7abb960
1410451bc230
1583941a72c
hex4eaee1b22

21121342242 has 128 divisors (see below), whose sum is σ = 56779204608. Its totient is φ = 5058547200.

The previous prime is 21121342217. The next prime is 21121342243. The reversal of 21121342242 is 24224312112.

It is a super-2 number, since 2×211213422422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121342243) 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, 9194038 + ... + 9196334.

It is an arithmetic number, because the mean of its divisors is an integer number (443587536).

Almost surely, 221121342242 is an apocalyptic number.

21121342242 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 21121342242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28389602304).

21121342242 is an abundant number, since it is smaller than the sum of its proper divisors (35657862366).

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

21121342242 is a wasteful number, since it uses less digits than its factorization.

21121342242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864.

The product of its digits is 1536, while the sum is 24.

Adding to 21121342242 its reverse (24224312112), we get a palindrome (45345654354).

It can be divided in two parts, 21121 and 342242, that added together give a palindrome (363363).

The spelling of 21121342242 in words is "twenty-one billion, one hundred twenty-one million, three hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1531 2002 2297 3003 3062 4593 4594 6006 6891 9186 10717 13782 16079 16841 19903 21434 25267 29861 32151 32158 33682 39806 48237 50523 50534 59709 59722 64302 75801 89583 96474 101046 117887 119418 139321 151602 176869 179166 209027 218933 235774 278642 328471 353661 353738 417963 418054 437866 530607 627081 656799 656942 707322 835926 985413 1061214 1254162 1313598 1532531 1970826 2299297 3065062 3516707 4597593 4598594 6897891 7033414 9195186 10550121 13795782 21100242 24616949 38683777 45717191 49233898 73850847 77367554 91434382 116051331 137151573 147701694 232102662 270786439 274303146 320020337 502889101 541572878 640040674 812359317 960061011 1005778202 1508667303 1624718634 1920122022 3017334606 3520223707 7040447414 10560671121 21121342242