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131022013221 = 321153233107171
BaseRepresentation
bin111101000000110000…
…1010100001100100101
3110112012011000220012100
41322001201110030211
54121313113410341
6140105104242313
712315563510511
oct1720141241445
9415164026170
10131022013221
1150625568860
1221487010399
13c48084b598
1464ad107141
15361c9423b6
hex1e81854325

131022013221 has 48 divisors (see below), whose sum is σ = 211259161152. Its totient is φ = 77573932800.

The previous prime is 131022013193. The next prime is 131022013231. The reversal of 131022013221 is 122310220131.

131022013221 is a `hidden beast` number, since 1 + 310 + 220 + 132 + 2 + 1 = 666.

It is not a de Polignac number, because 131022013221 - 217 = 131021882149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131022013194 and 131022013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022013231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168966 + ... + 1276136.

It is an arithmetic number, because the mean of its divisors is an integer number (4401232524).

Almost surely, 2131022013221 is an apocalyptic number.

131022013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131022013221 is a deficient number, since it is larger than the sum of its proper divisors (80237147931).

131022013221 is a wasteful number, since it uses less digits than its factorization.

131022013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107474 (or 107471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131022013221 its reverse (122310220131), we get a palindrome (253332233352).

The spelling of 131022013221 in words is "one hundred thirty-one billion, twenty-two million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 159 233 477 583 699 1749 2097 2563 5247 7689 12349 23067 37047 107171 111141 135839 321513 407517 964539 1178881 1222551 3536643 5680063 10609929 17040189 24970843 51120567 62480693 74912529 187442079 224737587 274679273 562326237 824037819 1323454679 2472113457 3970364037 11911092111 14558001469 43674004407 131022013221