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12231434100 = 22352371101931
BaseRepresentation
bin10110110010000110…
…01101111101110100
31011120102121020020210
423121003031331310
5200022221342400
65341414025420
7612051321504
oct133103157564
934512536223
1012231434100
115207364526
122454348270
1311cc0a6792
14840663a04
154b8c38950
hex2d90cdf74

12231434100 has 72 divisors (see below), whose sum is σ = 36346125088. Its totient is φ = 3173558400.

The previous prime is 12231434077. The next prime is 12231434177. The reversal of 12231434100 is 143413221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539866 + ... + 562065.

Almost surely, 212231434100 is an apocalyptic number.

12231434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12231434100 is an abundant number, since it is smaller than the sum of its proper divisors (24114690988).

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

12231434100 is a wasteful number, since it uses less digits than its factorization.

12231434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101985 (or 1101978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12231434100 its reverse (143413221), we get a palindrome (12374847321).

The spelling of 12231434100 in words is "twelve billion, two hundred thirty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1101931 2203862 3305793 4407724 5509655 6611586 11019310 13223172 16528965 22038620 27548275 33057930 40771447 55096550 66115860 81542894 82644825 110193100 122314341 163085788 165289650 203857235 244628682 330579300 407714470 489257364 611571705 815428940 1019286175 1223143410 2038572350 2446286820 3057858525 4077144700 6115717050 12231434100