30522310090000 has 225 divisors, whose sum is σ = 74773164538281. Its totient is φ = 12065944800000.

The previous prime is 30522310089967. The next prime is 30522310090003. The reversal of 30522310090000 is 9001322503.

It is a happy number.

The square root of 30522310090000 is 5524700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6587045442576 + 23935264647424 = 2566524^2 + 4892368^2 .

It is a super-2 number, since 2×30522310090000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30522310090003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55799469727 + ... + 55799470273.

Almost surely, 2^{30522310090000} is an apocalyptic number.

30522310090000 is the 5524700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30522310090000

30522310090000 is an abundant number, since it is smaller than the sum of its proper divisors (44250854448281).

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

30522310090000 is an frugal number, since it uses more digits than its factorization.

30522310090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Multiplying 30522310090000 by its sum of digits (25), we get a square (763057752250000 = 27623500²).

30522310090000 divided by its sum of digits (25) gives a square (1220892403600 = 1104940²).

The spelling of 30522310090000 in words is "thirty trillion, five hundred twenty-two billion, three hundred ten million, ninety thousand".