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1221012105 = 35192443509
BaseRepresentation
bin100100011000111…
…0010101010001001
310011002112211201120
41020301302222021
510000034341410
6321054305453
742154301025
oct11061625211
93132484646
101221012105
11577258515
122a0ab8289
13165c70491
14b823d385
15722db570
hex48c72a89

1221012105 has 48 divisors (see below), whose sum is σ = 2070567360. Its totient is φ = 614330496.

The previous prime is 1221012083. The next prime is 1221012119. The reversal of 1221012105 is 5012101221.

It is not a de Polignac number, because 1221012105 - 25 = 1221012073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2398591 + ... + 2399099.

It is an arithmetic number, because the mean of its divisors is an integer number (43136820).

Almost surely, 21221012105 is an apocalyptic number.

1221012105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1221012105 is a deficient number, since it is larger than the sum of its proper divisors (849555255).

1221012105 is a wasteful number, since it uses less digits than its factorization.

1221012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1221012105 is about 34942.9836304801. The cubic root of 1221012105 is about 1068.8251305209.

Adding to 1221012105 its reverse (5012101221), we get a palindrome (6233113326).

The spelling of 1221012105 in words is "one billion, two hundred twenty-one million, twelve thousand, one hundred five".

Divisors: 1 3 5 15 19 57 95 285 361 443 509 1083 1329 1527 1805 2215 2545 5415 6645 7635 8417 9671 25251 29013 42085 48355 126255 145065 159923 183749 225487 479769 551247 676461 799615 918745 1127435 2398845 2756235 3382305 4284253 12852759 21421265 64263795 81400807 244202421 407004035 1221012105