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30132331020 = 223351117298399
BaseRepresentation
bin11100000100000001…
…101110001000001100
32212202222022000102000
4130010001232020030
5443202334043040
621502000232300
72114464405401
oct340401561014
985688260360
1030132331020
1111862a08310
125a0b30b690
132ac291888c
14165bc542a8
15bb5568130
hex70406e20c

30132331020 has 192 divisors, whose sum is σ = 108283392000. Its totient is φ = 6875089920.

The previous prime is 30132330971. The next prime is 30132331079. The reversal of 30132331020 is 2013323103.

30132331020 is a `hidden beast` number, since 30 + 1 + 323 + 310 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30132330984 and 30132331002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48220 + ... + 250179.

It is an arithmetic number, because the mean of its divisors is an integer number (563976000).

Almost surely, 230132331020 is an apocalyptic number.

30132331020 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 30132331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54141696000).

30132331020 is an abundant number, since it is smaller than the sum of its proper divisors (78151060980).

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

30132331020 is a wasteful number, since it uses less digits than its factorization.

30132331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298445 (or 298437 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30132331020 its reverse (2013323103), we get a palindrome (32145654123).

The spelling of 30132331020 in words is "thirty billion, one hundred thirty-two million, three hundred thirty-one thousand, twenty".