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1221320110131 = 34117191906439
BaseRepresentation
bin10001110001011100010…
…110011111000000110011
311022202102220020220220000
4101301130112133000303
5130002230422011011
62333022224321043
7154144310435352
oct21613426370063
94282386226800
101221320110131
11430a603a9420
12178849773183
138b22961bba4
144317dc87999
1521b817ba356
hex11c5c59f033

1221320110131 has 40 divisors (see below), whose sum is σ = 1993068633600. Its totient is φ = 739164141360.

The previous prime is 1221320110069. The next prime is 1221320110193. The reversal of 1221320110131 is 1310110231221.

1221320110131 is a `hidden beast` number, since 1 + 221 + 320 + 110 + 13 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1221320110069) and next prime (1221320110193).

It is not a de Polignac number, because 1221320110131 - 217 = 1221319979059 is a prime.

It is a super-2 number, since 2×12213201101312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221320110631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312591 + ... + 1593848.

It is an arithmetic number, because the mean of its divisors is an integer number (49826715840).

Almost surely, 21221320110131 is an apocalyptic number.

1221320110131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221320110131 is a deficient number, since it is larger than the sum of its proper divisors (771748523469).

1221320110131 is a wasteful number, since it uses less digits than its factorization.

1221320110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907181 (or 1907172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1221320110131 its reverse (1310110231221), we get a palindrome (2531430341352).

The spelling of 1221320110131 in words is "one trillion, two hundred twenty-one billion, three hundred twenty million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 297 719 891 2157 6471 7909 19413 23727 58239 71181 213543 640629 1906439 5719317 17157951 20970829 51473853 62912487 154421559 188737461 566212383 1370729641 1698637149 4112188923 12336566769 15078026051 37009700307 45234078153 111029100921 135702234459 407106703377 1221320110131