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103073202432 = 283423216119
BaseRepresentation
bin101111111111110100…
…1000100000100000000
3100212001100102012110000
41133333221010010000
53142043214434212
6115203504240000
710306151523234
oct1377751040400
9325040365400
10103073202432
113a793154622
1217b87010000
139948414315
144dbb2805c4
152a33e3d1dc
hex17ffa44100

103073202432 has 180 divisors, whose sum is σ = 320709977280. Its totient is φ = 32863767552.

The previous prime is 103073202431. The next prime is 103073202437. The reversal of 103073202432 is 234202370301.

103073202432 is a `hidden beast` number, since 1 + 0 + 307 + 320 + 2 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103073202396 and 103073202405.

It is not an unprimeable number, because it can be changed into a prime (103073202431) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 368869 + ... + 584987.

It is an arithmetic number, because the mean of its divisors is an integer number (1781722096).

Almost surely, 2103073202432 is an apocalyptic number.

103073202432 is a gapful number since it is divisible by the number (12) 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 103073202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160354988640).

103073202432 is an abundant number, since it is smaller than the sum of its proper divisors (217636774848).

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

103073202432 is an equidigital number, since it uses as much as digits as its factorization.

103073202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216170 (or 216147 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 103073202432 its reverse (234202370301), we get a palindrome (337275572733).

The spelling of 103073202432 in words is "one hundred three billion, seventy-three million, two hundred two thousand, four hundred thirty-two".