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21122114232 = 2338311878933
BaseRepresentation
bin10011101010111110…
…011110001010111000
32000112000222120121010
4103222332132022320
5321224230123412
613411532113520
71345266002652
oct235276361270
960460876533
1021122114232
118a5997905a
1241159058a0
131cb7ccc15b
14104533d6d2
1583951e33c
hex4eaf9e2b8

21122114232 has 64 divisors (see below), whose sum is σ = 53492503680. Its totient is φ = 6949238912.

The previous prime is 21122114191. The next prime is 21122114269. The reversal of 21122114232 is 23241122112.

It is a happy number.

It is a super-2 number, since 2×211221142322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21122114199 and 21122114208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2360038 + ... + 2368970.

It is an arithmetic number, because the mean of its divisors is an integer number (835820370).

Almost surely, 221122114232 is an apocalyptic number.

It is an amenable number.

21122114232 is an abundant number, since it is smaller than the sum of its proper divisors (32370389448).

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

21122114232 is a wasteful number, since it uses less digits than its factorization.

21122114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10208 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 21122114232 its reverse (23241122112), we get a palindrome (44363236344).

The spelling of 21122114232 in words is "twenty-one billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1187 1992 2374 3561 4748 7122 8933 9496 14244 17866 26799 28488 35732 53598 71464 98521 107196 197042 214392 295563 394084 591126 741439 788168 1182252 1482878 2224317 2364504 2965756 4448634 5931512 8897268 10603471 17794536 21206942 31810413 42413884 63620826 84827768 127241652 254483304 880088093 1760176186 2640264279 3520352372 5280528558 7040704744 10561057116 21122114232