Search a number
-
+
21122110002 = 2371014979281
BaseRepresentation
bin10011101010111110…
…011101001000110010
32000112000222100210110
4103222332131020302
5321224230010002
613411532042150
71345265654430
oct235276351062
960460870713
1021122110002
118a59975964
124115903356
131cb7cca256
14104533bd50
1583951ce6c
hex4eaf9d232

21122110002 has 32 divisors (see below), whose sum is σ = 48757129344. Its totient is φ = 5975136000.

The previous prime is 21122110001. The next prime is 21122110013. The reversal of 21122110002 is 20001122112.

It is a super-3 number, since 3×211221100023 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 21122110002.

It is not an unprimeable number, because it can be changed into a prime (21122110001) 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 15 ways as a sum of consecutive naturals, for example, 2485399 + ... + 2493882.

It is an arithmetic number, because the mean of its divisors is an integer number (1523660292).

Almost surely, 221122110002 is an apocalyptic number.

21122110002 is an abundant number, since it is smaller than the sum of its proper divisors (27635019342).

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

21122110002 is a wasteful number, since it uses less digits than its factorization.

21122110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979394.

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

Adding to 21122110002 its reverse (20001122112), we get a palindrome (41123232114).

The spelling of 21122110002 in words is "twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242 4979281 9958562 14937843 29875686 34854967 69709934 104564901 209129802 502907381 1005814762 1508722143 3017444286 3520351667 7040703334 10561055001 21122110002