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30032133300 = 2232521389151191
BaseRepresentation
bin11011111110000011…
…011111110010110100
32212111222202102222100
4123332003133302310
5443001211231200
621444020502100
72112136630641
oct337603376264
985458672870
1030032133300
11118113a1284
1259a184a930
132aa7c360a0
14164c810dc8
15bab874d00
hex6fe0dfcb4

30032133300 has 432 divisors, whose sum is σ = 103733360640. Its totient is φ = 7223040000.

The previous prime is 30032133289. The next prime is 30032133311. The reversal of 30032133300 is 333123003.

30032133300 is a `hidden beast` number, since 300 + 32 + 1 + 3 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30032133289) and next prime (30032133311).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157236205 + ... + 157236395.

It is an arithmetic number, because the mean of its divisors is an integer number (240123520).

Almost surely, 230032133300 is an apocalyptic number.

30032133300 is a gapful number since it is divisible by the number (30) 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 30032133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866680320).

30032133300 is an abundant number, since it is smaller than the sum of its proper divisors (73701227340).

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

30032133300 is a wasteful number, since it uses less digits than its factorization.

30032133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30032133300 its reverse (333123003), we get a palindrome (30365256303).

The spelling of 30032133300 in words is "thirty billion, thirty-two million, one hundred thirty-three thousand, three hundred".