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112241120331 = 31723121071259
BaseRepresentation
bin110100010001000010…
…1111001010001001011
3101201201021110200111210
41220202011321101023
53314332211322311
6123321324424203
711052303531654
oct1504205712113
9351637420453
10112241120331
1143668205a7a
12199053a8063
13a7798c8002
14560aac652b
152dbdc383a6
hex1a2217944b

112241120331 has 72 divisors (see below), whose sum is σ = 165936496320. Its totient is φ = 67463420160.

The previous prime is 112241120317. The next prime is 112241120333. The reversal of 112241120331 is 133021142211.

It is not a de Polignac number, because 112241120331 - 29 = 112241119819 is a prime.

It is a super-2 number, since 2×1122411203312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112241120298 and 112241120307.

It is not an unprimeable number, because it can be changed into a prime (112241120333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89150380 + ... + 89151638.

It is an arithmetic number, because the mean of its divisors is an integer number (2304673560).

Almost surely, 2112241120331 is an apocalyptic number.

112241120331 is a deficient number, since it is larger than the sum of its proper divisors (53695375989).

112241120331 is a wasteful number, since it uses less digits than its factorization.

112241120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112241120331 its reverse (133021142211), we get a palindrome (245262262542).

The spelling of 112241120331 in words is "one hundred twelve billion, two hundred forty-one million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 17 31 51 93 107 289 321 527 867 961 1259 1581 1819 2883 3317 3777 5457 8959 9951 16337 21403 26877 30923 39029 49011 56389 64209 92769 102827 117087 134713 169167 277729 308481 363851 404139 663493 833187 958613 1091553 1209899 1748059 1990479 2290121 2875839 3629697 4176103 5244177 6870363 11279381 12528309 20568283 29717003 33838143 38932057 61704849 70993751 89151009 116796171 129459193 212981253 349660811 388377579 1048982433 1206893767 2200806281 3620681301 6602418843 37413706777 112241120331