Search a number
-
+
112103232113223 = 33135313943353119
BaseRepresentation
bin11001011111010100010001…
…010101000000101001000111
3112200220222000222211100011000
4121133110101111000221013
5104143144404410110343
61034231302555144343
732420122411513011
oct3137242125005107
9480828028740130
10112103232113223
11327a079400362a
12106a64357450b3
134a7239bb488a0
141d97b7abd91b1
15ce60e056ced3
hex65f511540a47

112103232113223 has 64 divisors (see below), whose sum is σ = 183539768832000. Its totient is φ = 67198026549888.

The previous prime is 112103232113219. The next prime is 112103232113227. The reversal of 112103232113223 is 322311232301211.

112103232113223 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 323 + 2 + 11 + 322 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (112103232113219) and next prime (112103232113227).

It is not a de Polignac number, because 112103232113223 - 22 = 112103232113219 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112103232113227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19090743 + ... + 24262376.

It is an arithmetic number, because the mean of its divisors is an integer number (2867808888000).

Almost surely, 2112103232113223 is an apocalyptic number.

112103232113223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112103232113223 is a deficient number, since it is larger than the sum of its proper divisors (71436536718777).

112103232113223 is a wasteful number, since it uses less digits than its factorization.

112103232113223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43353333 (or 43353327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112103232113223 its reverse (322311232301211), we get a palindrome (434414464414434).

The spelling of 112103232113223 in words is "one hundred twelve trillion, one hundred three billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 13 27 39 53 117 139 159 351 417 477 689 1251 1431 1807 2067 3753 5421 6201 7367 16263 18603 22101 48789 66303 95771 198909 287313 861939 2585817 43353119 130059357 390178071 563590547 1170534213 1690771641 2297715307 5072314923 6026083541 6893145921 15216944769 18078250623 20679437763 29870298991 54234751869 62038313289 78339086033 89610896973 162704255607 235017258099 268832690919 319382427673 705051774297 806498072757 958147283019 2115155322891 2874441849057 4151971559749 8623325547171 12455914679247 37367744037741 112103232113223