10213456260150 has 144 divisors (see below), whose sum is σ = 32237382144240. Its totient is φ = 2285528659200.

The previous prime is 10213456260131. The next prime is 10213456260167. The reversal of 10213456260150 is 5106265431201.

10213456260150 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 45 + 6 + 2 + 601 + 5 + 0 = 666.

It is a super-3 number, since 3×10213456260150³ (a number of 40 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 79294285 + ... + 79422984.

It is an arithmetic number, because the mean of its divisors is an integer number (223870709335).

Almost surely, 2^{10213456260150} is an apocalyptic number.

10213456260150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213456260150 is an abundant number, since it is smaller than the sum of its proper divisors (22023925884090).

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

10213456260150 is a wasteful number, since it uses less digits than its factorization.

10213456260150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158717311 (or 158717303 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10213456260150 in words is "ten trillion, two hundred thirteen billion, four hundred fifty-six million, two hundred sixty thousand, one hundred fifty".