10303782292152 has 224 divisors, whose sum is σ = 29135042976000. Its totient is φ = 3414602640960.

The previous prime is 10303782292123. The next prime is 10303782292207. The reversal of 10303782292152 is 25129228730301.

10303782292152 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 378 + 229 + 2 + 1 + 52 = 666.

It is a super-2 number, since 2×10303782292152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10303782292098 and 10303782292107.

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 55 ways as a sum of consecutive naturals, for example, 1278539499 + ... + 1278547557.

Almost surely, 2^{10303782292152} is an apocalyptic number.

10303782292152 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 10303782292152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567521488000).

10303782292152 is an abundant number, since it is smaller than the sum of its proper divisors (18831260683848).

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

10303782292152 is a wasteful number, since it uses less digits than its factorization.

10303782292152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10303782292152 in words is "ten trillion, three hundred three billion, seven hundred eighty-two million, two hundred ninety-two thousand, one hundred fifty-two".