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131111201221119 = 347236738993687
BaseRepresentation
bin11101110011111010110100…
…100100110010100111111111
3122012020002221001011001020000
4131303322310210302213333
5114141111220003033434
61142503353200325343
736421320535223400
oct3563726444624777
9565202831131200
10131111201221119
1138859a48033459
1212856290013853
13582096bb7bb42
142453b5d1559a7
1510257835d4b99
hex773eb49329ff

131111201221119 has 60 divisors (see below), whose sum is σ = 227896258583664. Its totient is φ = 74900280401856.

The previous prime is 131111201221081. The next prime is 131111201221129. The reversal of 131111201221119 is 911122102111131.

131111201221119 is a `hidden beast` number, since 1 + 311 + 1 + 12 + 0 + 1 + 221 + 119 = 666.

It is not a de Polignac number, because 131111201221119 - 217 = 131111201090047 is a prime.

It is a super-2 number, since 2×1311112012211192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131111201221092 and 131111201221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111201221129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10081294 + ... + 19074980.

Almost surely, 2131111201221119 is an apocalyptic number.

131111201221119 is a deficient number, since it is larger than the sum of its proper divisors (96785057362545).

131111201221119 is an equidigital number, since it uses as much as digits as its factorization.

131111201221119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997386 (or 8997370 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

The spelling of 131111201221119 in words is "one hundred thirty-one trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3673 3969 11019 25711 33057 77133 99171 179977 231399 297513 539931 694197 1619793 2082591 4859379 8993687 14578137 26981061 62955809 80943183 188867427 242829549 440690663 566602281 728488647 1322071989 1699806843 3966215967 5099420529 11898647901 33033812351 35695943703 99101437053 231236686457 297304311159 693710059371 891912933477 1618656805199 2081130178113 2675738800431 4855970415597 6243390534339 14567911246791 18730171603017 43703733740373 131111201221119