Search a number
-
+
1123102121211 = 327473121121531
BaseRepresentation
bin10000010101111110000…
…110100101110011111011
310222100220220210010021200
4100111332012211303323
5121400103120334321
62215540200105243
7144066342342420
oct20257606456373
93870826703250
101123102121211
113a3339960654
121617b8765223
1381ba6071595
143c503779d47
151e333c33d26
hex1057e1a5cfb

1123102121211 has 48 divisors (see below), whose sum is σ = 1894079136768. Its totient is φ = 627911481600.

The previous prime is 1123102121153. The next prime is 1123102121231. The reversal of 1123102121211 is 1121212013211.

It is a happy number.

1123102121211 is a `hidden beast` number, since 11 + 231 + 0 + 212 + 1 + 211 = 666.

It is not a de Polignac number, because 1123102121211 - 229 = 1122565250299 is a prime.

It is a super-2 number, since 2×11231021212112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123102121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9180516 + ... + 9302046.

It is an arithmetic number, because the mean of its divisors is an integer number (39459982016).

Almost surely, 21123102121211 is an apocalyptic number.

1123102121211 is a deficient number, since it is larger than the sum of its proper divisors (770977015557).

1123102121211 is a wasteful number, since it uses less digits than its factorization.

1123102121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124712 (or 124709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1123102121211 its reverse (1121212013211), we get a palindrome (2244314134422).

The spelling of 1123102121211 in words is "one trillion, one hundred twenty-three billion, one hundred two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 3121 9363 21847 28089 65541 121531 146687 196623 364593 440061 850717 1026809 1093779 1320183 2552151 3080427 5711957 7656453 9241281 17135871 39983699 51407613 119951097 359853291 379298251 1137894753 2655087757 3413684259 7965263271 17827017797 23895789813 53481053391 124789124579 160443160173 374367373737 1123102121211