Search a number
-
+
13112323122200 = 2352179625758537
BaseRepresentation
bin1011111011001111001101…
…0111001010010000011000
31201102112012100021100012112
42332303303113022100120
53204313014204402300
643515415034531452
72522222406365021
oct276636327122030
951375170240175
1013112323122200
1141a59a5623a05
12157930a596b88
13741643564a33
143348d5975c48
1517b1356bbe35
hexbecf35ca418

13112323122200 has 96 divisors (see below), whose sum is σ = 30661888294800. Its totient is φ = 5214705315840.

The previous prime is 13112323122179. The next prime is 13112323122277. The reversal of 13112323122200 is 222132321131.

It is a super-2 number, since 2×131123231222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223971332 + ... + 224029868.

Almost surely, 213112323122200 is an apocalyptic number.

13112323122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112323122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330944147400).

13112323122200 is an abundant number, since it is smaller than the sum of its proper divisors (17549565172600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112323122200 is a wasteful number, since it uses less digits than its factorization.

13112323122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64989 (or 64980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13112323122200 its reverse (222132321131), we get a palindrome (13334455443331).

The spelling of 13112323122200 in words is "thirteen trillion, one hundred twelve billion, three hundred twenty-three million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 4475 6257 7160 8950 12514 17900 25028 31285 35800 50056 58537 62570 117074 125140 156425 234148 250280 292685 312850 468296 585370 625700 1120003 1170740 1251400 1463425 2240006 2341480 2926850 4480012 5600015 5853700 8960024 10478123 11200030 11707400 20956246 22400060 28000075 41912492 44800120 52390615 56000150 83824984 104781230 112000300 209562460 224000600 261953075 366266009 419124920 523906150 732532018 1047812300 1465064036 1831330045 2095624600 2930128072 3662660090 7325320180 9156650225 14650640360 18313300450 36626600900 65561615611 73253201800 131123231222 262246462444 327808078055 524492924888 655616156110 1311232312220 1639040390275 2622464624440 3278080780550 6556161561100 13112323122200