30138602768100 has 108 divisors (see below), whose sum is σ = 94678173216900. Its totient is φ = 8019060940800.

The previous prime is 30138602768077. The next prime is 30138602768123. The reversal of 30138602768100 is 186720683103.

30138602768100 is a `hidden beast` number, since 3 + 0 + 1 + 38 + 602 + 7 + 6 + 8 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30138602768077) and next prime (30138602768123).

It can be written as a sum of positive squares in 6 ways, for example, as 4428591954084 + 25710010814016 = 2104422^2 + 5070504^2 .

It is a super-2 number, since 2×30138602768100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36886921 + ... + 37695120.

Almost surely, 2^{30138602768100} is an apocalyptic number.

30138602768100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30138602768100 is an abundant number, since it is smaller than the sum of its proper divisors (64539570448800).

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

30138602768100 is a wasteful number, since it uses less digits than its factorization.

30138602768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74582510 (or 74582500 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30138602768100 in words is "thirty trillion, one hundred thirty-eight billion, six hundred two million, seven hundred sixty-eight thousand, one hundred".