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131220322101 = 32114132328239
BaseRepresentation
bin111101000110101010…
…1110011011100110101
3110112200222012000211200
41322031111303130311
54122214400301401
6140140510523113
712323522222511
oct1721525633465
9415628160750
10131220322101
11507174a61a0
1221521506499
13c4b2962c0b
1464cb5a9141
153630065686
hex1e8d573735

131220322101 has 24 divisors (see below), whose sum is σ = 211814628480. Its totient is φ = 77587771200.

The previous prime is 131220322061. The next prime is 131220322133. The reversal of 131220322101 is 101223022131.

131220322101 is a `hidden beast` number, since 1 + 312 + 20 + 322 + 10 + 1 = 666.

It is not a de Polignac number, because 131220322101 - 217 = 131220191029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220322151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16160061 + ... + 16168178.

It is an arithmetic number, because the mean of its divisors is an integer number (8825609520).

Almost surely, 2131220322101 is an apocalyptic number.

131220322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131220322101 is a deficient number, since it is larger than the sum of its proper divisors (80594306379).

131220322101 is a wasteful number, since it uses less digits than its factorization.

131220322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32328297 (or 32328294 counting only the distinct ones).

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

Adding to 131220322101 its reverse (101223022131), we get a palindrome (232443344232).

The spelling of 131220322101 in words is "one hundred thirty-one billion, two hundred twenty million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 32328239 96984717 290954151 355610629 1066831887 1325457799 3200495661 3976373397 11929120191 14580035789 43740107367 131220322101