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21300111130032 = 24337193111192027
BaseRepresentation
bin1001101011111010100011…
…00011101011110110110000
32210102021022100220221122000
410311331101203223312300
510242440111422130112
6113145045211414000
74325611416212460
oct465752143536660
983367270827560
1021300111130032
116872365492929
122480130154300
13bb679041a997
14538d06493ba0
1526e0e890d7dc
hex135f518ebdb0

21300111130032 has 320 divisors, whose sum is σ = 73787486822400. Its totient is φ = 5746900389120.

The previous prime is 21300111130007. The next prime is 21300111130099. The reversal of 21300111130032 is 23003111100312.

21300111130032 is a `hidden beast` number, since 21 + 300 + 1 + 1 + 11 + 300 + 32 = 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 = 21300111129987 and 21300111130014.

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, 17272803 + ... + 18464829.

It is an arithmetic number, because the mean of its divisors is an integer number (230585896320).

Almost surely, 221300111130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300111130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36893743411200).

21300111130032 is an abundant number, since it is smaller than the sum of its proper divisors (52487375692368).

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

21300111130032 is a wasteful number, since it uses less digits than its factorization.

21300111130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192381 (or 1192369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21300111130032 its reverse (23003111100312), we get a palindrome (44303222230344).

The spelling of 21300111130032 in words is "twenty-one trillion, three hundred billion, one hundred eleven million, one hundred thirty thousand, thirty-two".