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12231432010 = 2574113132533
BaseRepresentation
bin10110110010000110…
…01101011101001010
31011120102121010101101
423121003031131022
5200022221311020
65341414012014
7612051312430
oct133103153512
934512533341
1012231432010
1152073629a6
12245434700a
1311cc0a5845
14840662d50
154b8c3800a
hex2d90cd74a

12231432010 has 64 divisors (see below), whose sum is σ = 25973063424. Its totient is φ = 4059993600.

The previous prime is 12231431981. The next prime is 12231432023. The reversal of 12231432010 is 1023413221.

It is a happy number.

12231432010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359704 + ... + 392236.

It is an arithmetic number, because the mean of its divisors is an integer number (405829116).

Almost surely, 212231432010 is an apocalyptic number.

12231432010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12231432010 is an abundant number, since it is smaller than the sum of its proper divisors (13741631414).

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

12231432010 is a wasteful number, since it uses less digits than its factorization.

12231432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12231432010 its reverse (1023413221), we get a palindrome (13254845231).

The spelling of 12231432010 in words is "twelve billion, two hundred thirty-one million, four hundred thirty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 131 205 262 287 410 574 655 917 1310 1435 1834 2870 4585 5371 9170 10742 26855 32533 37597 53710 65066 75194 162665 187985 227731 325330 375970 455462 1138655 1333853 2277310 2667706 4261823 6669265 8523646 9336971 13338530 18673942 21309115 29832761 42618230 46684855 59665522 93369710 149163805 174734743 298327610 349469486 873673715 1223143201 1747347430 2446286402 6115716005 12231432010