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20213300140 = 22511317433989
BaseRepresentation
bin10010110100110011…
…100111101110101100
31221011200220001000221
4102310303213232230
5312344101101030
613141425101124
71313622134125
oct226463475654
957150801027
1020213300140
118632976630
123b014877a4
131ba193a937
14d9a76b04c
157d4850e7a
hex4b4ce7bac

20213300140 has 96 divisors (see below), whose sum is σ = 47876935680. Its totient is φ = 7101830400.

The previous prime is 20213300111. The next prime is 20213300143. The reversal of 20213300140 is 4100331202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20213300143) 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, 5065266 + ... + 5069254.

It is an arithmetic number, because the mean of its divisors is an integer number (498718080).

Almost surely, 220213300140 is an apocalyptic number.

20213300140 is a gapful number since it is divisible by the number (20) 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 20213300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938467840).

20213300140 is an abundant number, since it is smaller than the sum of its proper divisors (27663635540).

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

20213300140 is a wasteful number, since it uses less digits than its factorization.

20213300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

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

Adding to 20213300140 its reverse (4100331202), we get a palindrome (24313631342).

The spelling of 20213300140 in words is "twenty billion, two hundred thirteen million, three hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 743 1364 1486 1705 2972 3410 3715 3989 6820 7430 7978 8173 14860 15956 16346 19945 23033 32692 39890 40865 43879 46066 79780 81730 87758 92132 115165 123659 163460 175516 219395 230330 247318 253363 438790 460660 494636 506726 618295 877580 1013452 1236590 1266815 1360249 2473180 2533630 2720498 2963827 5067260 5440996 5927654 6801245 11855308 13602490 14819135 27204980 29638270 32602097 59276540 65204194 91878637 130408388 163010485 183757274 326020970 367514548 459393185 652041940 918786370 1010665007 1837572740 2021330014 4042660028 5053325035 10106650070 20213300140