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20020210120 = 2353792914561
BaseRepresentation
bin10010101001010011…
…000010100111001000
31220200020120001022201
4102221103002213020
5312000133210440
613110330325544
71306055656351
oct225123024710
956606501281
1020020210120
1185439831a9
123a688898b4
131b709328a1
14d7cc66d28
157c290e19a
hex4a94c29c8

20020210120 has 64 divisors (see below), whose sum is σ = 46315897200. Its totient is φ = 7782727680.

The previous prime is 20020209973. The next prime is 20020210127. The reversal of 20020210120 is 2101202002.

It can be written as a sum of positive squares in 8 ways, for example, as 11203375716 + 8816834404 = 105846^2 + 93898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20020210097 and 20020210106.

It is not an unprimeable number, because it can be changed into a prime (20020210127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367640 + ... + 1382200.

Almost surely, 220020210120 is an apocalyptic number.

20020210120 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 20020210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23157948600).

20020210120 is an abundant number, since it is smaller than the sum of its proper divisors (26295687080).

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

20020210120 is a wasteful number, since it uses less digits than its factorization.

20020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15538 (or 15534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020210120 its reverse (2101202002), we get a palindrome (22121412122).

The spelling of 20020210120 in words is "twenty billion, twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 929 1480 1858 3716 4645 7432 9290 14561 18580 29122 34373 37160 58244 68746 72805 116488 137492 145610 171865 274984 291220 343730 538757 582440 687460 1077514 1374920 2155028 2693785 4310056 5387570 10775140 13527169 21550280 27054338 54108676 67635845 108217352 135271690 270543380 500505253 541086760 1001010506 2002021012 2502526265 4004042024 5005052530 10010105060 20020210120