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1221105655 = 5711311011013
BaseRepresentation
bin100100011001000…
…1001011111110111
310011002201121001101
41020302021133313
510000100340110
6321100310531
742155140540
oct11062113767
93132647041
101221105655
11577311830
122a0b42447
13165ca3c33
14b82654c7
157230913a
hex48c897f7

1221105655 has 64 divisors (see below), whose sum is σ = 1906384896. Its totient is φ = 728640000.

The previous prime is 1221105649. The next prime is 1221105689. The reversal of 1221105655 is 5565011221.

It is not a de Polignac number, because 1221105655 - 23 = 1221105647 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204929 + ... + 1205941.

It is an arithmetic number, because the mean of its divisors is an integer number (29787264).

Almost surely, 21221105655 is an apocalyptic number.

1221105655 is a deficient number, since it is larger than the sum of its proper divisors (685279241).

1221105655 is a wasteful number, since it uses less digits than its factorization.

1221105655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 1221105655 is about 34944.3222140593. The cubic root of 1221105655 is about 1068.8524264658.

Adding to 1221105655 its reverse (5565011221), we get a palindrome (6786116876).

It can be divided in two parts, 122110 and 5655, that added together give a triangular number (127765 = T505).

The spelling of 1221105655 in words is "one billion, two hundred twenty-one million, one hundred five thousand, six hundred fifty-five".

Divisors: 1 5 7 11 31 35 55 77 101 155 217 341 385 505 707 1013 1085 1111 1705 2387 3131 3535 5065 5555 7091 7777 11143 11935 15655 21917 31403 34441 35455 38885 55715 78001 102313 109585 157015 172205 219821 241087 345433 390005 511565 716191 1099105 1125443 1205435 1727165 2418031 3171703 3580955 5627215 7878101 12090155 15858515 22201921 34888733 39390505 111009605 174443665 244221131 1221105655