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130312111221 = 3231678168879
BaseRepresentation
bin111100101011100110…
…1010000010001110101
3110110100200020010201200
41321113031100101311
54113334400024341
6135510424443113
712262153445415
oct1712715202165
9413320203650
10130312111221
11502a0875996
1221309319499
13c399753126
146442b12645
1535ca465db6
hex1e57350475

130312111221 has 24 divisors (see below), whose sum is σ = 194331970560. Its totient is φ = 84058711200.

The previous prime is 130312111207. The next prime is 130312111243. The reversal of 130312111221 is 122111213031.

130312111221 is a `hidden beast` number, since 130 + 312 + 1 + 1 + 1 + 221 = 666.

It is not a de Polignac number, because 130312111221 - 26 = 130312111157 is a prime.

It is a super-2 number, since 2×1303121112212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130312111194 and 130312111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312119221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857460 + ... + 1926338.

It is an arithmetic number, because the mean of its divisors is an integer number (8097165440).

Almost surely, 2130312111221 is an apocalyptic number.

It is an amenable number.

130312111221 is a deficient number, since it is larger than the sum of its proper divisors (64019859339).

130312111221 is a wasteful number, since it uses less digits than its factorization.

130312111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75697 (or 75694 counting only the distinct ones).

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

Adding to 130312111221 its reverse (122111213031), we get a palindrome (252423324252).

The spelling of 130312111221 in words is "one hundred thirty billion, three hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 279 6781 20343 61029 68879 206637 210211 619911 630633 1891899 2135249 6405747 19217241 467068499 1401205497 4203616491 14479123469 43437370407 130312111221