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214001303020 = 22550921021739
BaseRepresentation
bin1100011101001101111…
…0001011110111101100
3202110101010012120110221
43013103132023313230
512001233313144040
6242151050341124
721314103030301
oct3072336136754
9673333176427
10214001303020
118283717a40a
123558472a7a4
1317245c9616b
14a5018170a8
15587776374a
hex31d378bdec

214001303020 has 24 divisors (see below), whose sum is σ = 450285670800. Its totient is φ = 85432343232.

The previous prime is 214001302981. The next prime is 214001303029. The reversal of 214001303020 is 20303100412.

It is a happy number.

It is a super-2 number, since 2×2140013030202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214001302985 and 214001303003.

It is not an unprimeable number, because it can be changed into a prime (214001303029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10500690 + ... + 10521049.

It is an arithmetic number, because the mean of its divisors is an integer number (18761902950).

Almost surely, 2214001303020 is an apocalyptic number.

214001303020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214001303020 is an abundant number, since it is smaller than the sum of its proper divisors (236284367780).

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

214001303020 is a wasteful number, since it uses less digits than its factorization.

214001303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022257 (or 21022255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 214001303020 its reverse (20303100412), we get a palindrome (234304403432).

The spelling of 214001303020 in words is "two hundred fourteen billion, one million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 5090 10180 21021739 42043478 84086956 105108695 210217390 420434780 10700065151 21400130302 42800260604 53500325755 107000651510 214001303020