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21121323201 = 32113717932213
BaseRepresentation
bin10011101010111011…
…011101000011000001
32000111222111101111200
4103222323131003001
5321224024320301
613411503131413
71345256166516
oct235273350301
960458441450
1021121323201
118a59488810
1241155a3b69
131cb7ab30a4
1410451b530d
15839414c86
hex4eaedd0c1

21121323201 has 48 divisors (see below), whose sum is σ = 34373626560. Its totient is φ = 12384869760.

The previous prime is 21121323151. The next prime is 21121323227. The reversal of 21121323201 is 10232312112.

21121323201 is a `hidden beast` number, since 21 + 121 + 323 + 201 = 666.

It is not a de Polignac number, because 21121323201 - 29 = 21121322689 is a prime.

It is a super-2 number, since 2×211213232012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121323401) 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, 639571 + ... + 671783.

It is an arithmetic number, because the mean of its divisors is an integer number (716117220).

Almost surely, 221121323201 is an apocalyptic number.

It is an amenable number.

21121323201 is a deficient number, since it is larger than the sum of its proper divisors (13252303359).

21121323201 is a wasteful number, since it uses less digits than its factorization.

21121323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32446 (or 32443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21121323201 its reverse (10232312112), we get a palindrome (31353635313).

The spelling of 21121323201 in words is "twenty-one billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 11 33 37 99 111 179 333 407 537 1221 1611 1969 3663 5907 6623 17721 19869 32213 59607 72853 96639 218559 289917 354343 655677 1063029 1191881 3189087 3575643 5766127 10726929 13110691 17298381 39332073 51895143 63427397 117996219 190282191 213346699 570846573 640040097 1920120291 2346813689 7040441067 21121323201