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20433000114 = 233715479743
BaseRepresentation
bin10011000001111001…
…101101011010110010
31221202000021221202000
4103001321231122302
5313321322000424
613215314034430
71322230430622
oct230171553262
957660257660
1020433000114
11873599445a
123b62b78a16
131c08301917
14dbb9da882
157e8c9c3c9
hex4c1e6d6b2

20433000114 has 64 divisors (see below), whose sum is σ = 46135111680. Its totient is φ = 6702106320.

The previous prime is 20433000113. The next prime is 20433000167. The reversal of 20433000114 is 41100033402.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20433000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092327 + ... + 2102069.

It is an arithmetic number, because the mean of its divisors is an integer number (720861120).

Almost surely, 220433000114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23067555840).

20433000114 is an abundant number, since it is smaller than the sum of its proper divisors (25702111566).

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

20433000114 is a wasteful number, since it uses less digits than its factorization.

20433000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20433000114 its reverse (41100033402), we get a palindrome (61533033516).

The spelling of 20433000114 in words is "twenty billion, four hundred thirty-three million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 547 639 1094 1278 1641 1917 3282 3834 4923 9743 9846 14769 19486 29229 29538 38837 58458 77674 87687 116511 175374 233022 263061 349533 526122 691753 699066 1048599 1383506 2075259 2097198 4150518 5329421 6225777 10658842 12451554 15988263 18677331 31976526 37354662 47964789 95929578 143894367 287788734 378388891 756777782 1135166673 2270333346 3405500019 6811000038 10216500057 20433000114