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12103433400 = 23352107188527
BaseRepresentation
bin10110100010110101…
…11011110010111000
31011020111202010022010
423101122323302320
5144241434332100
65321002325520
7605635325562
oct132132736270
934214663263
1012103433400
115151088723
1224194b98a0
1311ab70b016
1482b664332
154ac8a2750
hex2d16bbcb8

12103433400 has 96 divisors (see below), whose sum is σ = 37871504640. Its totient is φ = 3197400960.

The previous prime is 12103433399. The next prime is 12103433411. The reversal of 12103433400 is 433430121.

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, 30064 + ... + 158463.

It is an arithmetic number, because the mean of its divisors is an integer number (394494840).

Almost surely, 212103433400 is an apocalyptic number.

12103433400 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 12103433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935752320).

12103433400 is an abundant number, since it is smaller than the sum of its proper divisors (25768071240).

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

12103433400 is a wasteful number, since it uses less digits than its factorization.

12103433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188653 (or 188644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12103433400 its reverse (433430121), we get a palindrome (12536863521).

The spelling of 12103433400 in words is "twelve billion, one hundred three million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 150 200 214 300 321 428 535 600 642 856 1070 1284 1605 2140 2568 2675 3210 4280 5350 6420 8025 10700 12840 16050 21400 32100 64200 188527 377054 565581 754108 942635 1131162 1508216 1885270 2262324 2827905 3770540 4524648 4713175 5655810 7541080 9426350 11311620 14139525 18852700 20172389 22623240 28279050 37705400 40344778 56558100 60517167 80689556 100861945 113116200 121034334 161379112 201723890 242068668 302585835 403447780 484137336 504309725 605171670 806895560 1008619450 1210343340 1512929175 2017238900 2420686680 3025858350 4034477800 6051716700 12103433400