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12103132032 = 273210506191
BaseRepresentation
bin10110100010110011…
…10010001110000000
31011020111011210220100
423101121302032000
5144241400211112
65320552042400
7605632632135
oct132131621600
934214153810
1012103132032
1151509a2262
122419393400
1311ab633ab4
1482b5c658c
154ac8432dc
hex2d1672380

12103132032 has 48 divisors (see below), whose sum is σ = 34828026480. Its totient is φ = 4034376960.

The previous prime is 12103132007. The next prime is 12103132207. The reversal of 12103132032 is 23023130121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12103131996 and 12103132014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5251944 + ... + 5254247.

It is an arithmetic number, because the mean of its divisors is an integer number (725583885).

Almost surely, 212103132032 is an apocalyptic number.

12103132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12103132032 is an abundant number, since it is smaller than the sum of its proper divisors (22724894448).

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

12103132032 is a wasteful number, since it uses less digits than its factorization.

12103132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506211 (or 10506196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12103132032 its reverse (23023130121), we get a palindrome (35126262153).

The spelling of 12103132032 in words is "twelve billion, one hundred three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10506191 21012382 31518573 42024764 63037146 84049528 94555719 126074292 168099056 189111438 252148584 336198112 378222876 504297168 672396224 756445752 1008594336 1344792448 1512891504 2017188672 3025783008 4034377344 6051566016 12103132032