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30383301312 = 2633713289167
BaseRepresentation
bin11100010010111111…
…000110001011000000
32220102110112121221000
4130102333012023000
5444211111120222
621542523332000
72123632541250
oct342277061300
986373477830
1030383301312
1111981643a81
125a7b381000
132b3290ab00
141683303960
15bcc5de9ac
hex712fc62c0

30383301312 has 672 divisors, whose sum is σ = 112449254400. Its totient is φ = 7875698688.

The previous prime is 30383301307. The next prime is 30383301343. The reversal of 30383301312 is 21310338303.

30383301312 is a `hidden beast` number, since 303 + 8 + 330 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181935853 + ... + 181936019.

It is an arithmetic number, because the mean of its divisors is an integer number (167335200).

Almost surely, 230383301312 is an apocalyptic number.

30383301312 is a gapful number since it is divisible by the number (32) 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 30383301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56224627200).

30383301312 is an abundant number, since it is smaller than the sum of its proper divisors (82065953088).

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

30383301312 is a wasteful number, since it uses less digits than its factorization.

30383301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30383301312 its reverse (21310338303), we get a palindrome (51693639615).

The spelling of 30383301312 in words is "thirty billion, three hundred eighty-three million, three hundred one thousand, three hundred twelve".