Search a number
-
+
12312223331000 = 235319961870469
BaseRepresentation
bin1011001100101010100110…
…1100101011001010111000
31121121001000000100200102112
42303022221230223022320
53103210413133043000
642104053551351452
72410346241360365
oct263125154531270
947531000320375
1012312223331000
113a1764810064a
12146a236822588
136b4064a18918
14307cb427546c
15165408767235
hexb32a9b2b2b8

12312223331000 has 64 divisors (see below), whose sum is σ = 28955379960000. Its totient is φ = 4900141065600.

The previous prime is 12312223330993. The next prime is 12312223331017. The reversal of 12312223331000 is 13332221321.

12312223331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123122233310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30736235 + ... + 31134234.

It is an arithmetic number, because the mean of its divisors is an integer number (452427811875).

Almost surely, 212312223331000 is an apocalyptic number.

12312223331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312223331000 is an abundant number, since it is smaller than the sum of its proper divisors (16643156629000).

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

12312223331000 is a wasteful number, since it uses less digits than its factorization.

12312223331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61870689 (or 61870675 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12312223331000 its reverse (13332221321), we get a palindrome (12325555552321).

The spelling of 12312223331000 in words is "twelve trillion, three hundred twelve billion, two hundred twenty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 7960 9950 19900 24875 39800 49750 99500 199000 61870469 123740938 247481876 309352345 494963752 618704690 1237409380 1546761725 2474818760 3093523450 6187046900 7733808625 12312223331 12374093800 15467617250 24624446662 30935234500 49248893324 61561116655 61870469000 98497786648 123122233310 246244466620 307805583275 492488933240 615611166550 1231222333100 1539027916375 2462444666200 3078055832750 6156111665500 12312223331000