30428352116100 has 135 divisors (see below), whose sum is σ = 98638305827061. Its totient is φ = 8114094842400.

The previous prime is 30428352116081. The next prime is 30428352116153. The reversal of 30428352116100 is 161125382403.

The square root of 30428352116100 is 5516190.

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

30428352116100 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 8 + 35 + 2 + 1 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10954206761796 + 19474145354304 = 3309714^2 + 4412952^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×30428352116100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 496426455 + ... + 496487745.

Almost surely, 2^{30428352116100} is an apocalyptic number.

30428352116100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30428352116100 is the 5516190-th square number.

It is an amenable number.

30428352116100 is an abundant number, since it is smaller than the sum of its proper divisors (68209953710961).

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

30428352116100 is an frugal number, since it uses more digits than its factorization.

30428352116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122608 (or 61301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

30428352116100 divided by its sum of digits (36) gives a square (845232003225 = 919365²).

Adding to 30428352116100 its reverse (161125382403), we get a palindrome (30589477498503).

The spelling of 30428352116100 in words is "thirty trillion, four hundred twenty-eight billion, three hundred fifty-two million, one hundred sixteen thousand, one hundred".