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30133211220 = 2233579298581
BaseRepresentation
bin11100000100000101…
…000101000001010100
32212210000221201211000
4130010011011001110
5443203100224340
621502031143300
72114505032520
oct340405050124
985700851730
1030133211220
1111863459652
125a0b674b30
132ac2b663c8
14165c002d80
15bb568dd30
hex704145054

30133211220 has 192 divisors, whose sum is σ = 107268134400. Its totient is φ = 6879375360.

The previous prime is 30133211167. The next prime is 30133211231. The reversal of 30133211220 is 2211233103.

30133211220 is a `hidden beast` number, since 301 + 332 + 1 + 12 + 20 = 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 = 30133211193 and 30133211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507330 + ... + 3515910.

It is an arithmetic number, because the mean of its divisors is an integer number (558688200).

Almost surely, 230133211220 is an apocalyptic number.

30133211220 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 30133211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53634067200).

30133211220 is an abundant number, since it is smaller than the sum of its proper divisors (77134923180).

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

30133211220 is a wasteful number, since it uses less digits than its factorization.

30133211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30133211220 its reverse (2211233103), we get a palindrome (32344444323).

The spelling of 30133211220 in words is "thirty billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twenty".