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113110331132331 = 3213107197139932783
BaseRepresentation
bin11001101101111110001101…
…000110111000100110101011
3112211111020112110022022002200
4121231332031012320212223
5104311144424232213311
61040322100242231243
732552644310106531
oct3155761506704653
9484436473268080
10113110331132331
1133049905164665
1210829659055523
134b16348aa9540
141dd07d7db6151
15d123d515c556
hex66df8d1b89ab

113110331132331 has 96 divisors (see below), whose sum is σ = 178628318668800. Its totient is φ = 68554670913792.

The previous prime is 113110331132321. The next prime is 113110331132339. The reversal of 113110331132331 is 133231133011311.

113110331132331 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 0 + 331 + 1 + 323 + 3 + 1 = 666.

It is not a de Polignac number, because 113110331132331 - 231 = 113108183648683 is a prime.

It is a super-2 number, since 2×1131103311323312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113110331132295 and 113110331132304.

It is not an unprimeable number, because it can be changed into a prime (113110331132339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3450257566 + ... + 3450290348.

It is an arithmetic number, because the mean of its divisors is an integer number (1860711652800).

Almost surely, 2113110331132331 is an apocalyptic number.

113110331132331 is a deficient number, since it is larger than the sum of its proper divisors (65517987536469).

113110331132331 is a wasteful number, since it uses less digits than its factorization.

113110331132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34505 (or 34502 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 113110331132331 its reverse (133231133011311), we get a palindrome (246341464143642).

The spelling of 113110331132331 in words is "one hundred thirteen trillion, one hundred ten billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 107 117 197 321 591 963 1391 1399 1773 2561 4173 4197 7683 12519 12591 18187 21079 23049 32783 54561 63237 98349 149693 163683 189711 274027 275603 295047 426179 449079 822081 826809 1278537 1347237 1946009 2466243 2480427 3507781 3582839 3835611 5838027 6458251 10523343 10748517 17514081 19374753 29489521 31570029 32245551 45601153 45863417 58124259 83957263 88468563 136803459 137590251 251871789 265405689 383363773 410410377 412770753 596224421 691032857 755615367 1150091319 1788673263 2073098571 3450273957 4907385619 5366019789 6219295713 8983427141 9035093149 14722156857 26950281423 27105279447 44166470571 63796013047 80850844269 81315838341 117456210937 191388039141 352368632811 574164117423 966754966943 1057105898433 2900264900829 8700794702487 12567814570259 37703443710777 113110331132331