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20020201120 = 2558910331361
BaseRepresentation
bin10010101001010011…
…000000011010100000
31220200020112120222101
4102221103000122200
5312000132413440
613110330220144
71306055621203
oct225123003240
956606476871
1020020201120
118543977467
123a68884654
131b7092b76a
14d7cc6393a
157c290b69a
hex4a94c06a0

20020201120 has 96 divisors (see below), whose sum is σ = 47910638160. Its totient is φ = 7904624640.

The previous prime is 20020201099. The next prime is 20020201183. The reversal of 20020201120 is 2110202002.

It can be written as a sum of positive squares in 8 ways, for example, as 7671657744 + 12348543376 = 87588^2 + 111124^2 .

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 = 20020201097 and 20020201106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14709240 + ... + 14710600.

Almost surely, 220020201120 is an apocalyptic number.

20020201120 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 20020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955319080).

20020201120 is an abundant number, since it is smaller than the sum of its proper divisors (27890437040).

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

20020201120 is a wasteful number, since it uses less digits than its factorization.

20020201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

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

Adding to 20020201120 its reverse (2110202002), we get a palindrome (22130403122).

The spelling of 20020201120 in words is "twenty billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1033 1361 1424 1780 2066 2722 2848 3560 4132 5165 5444 6805 7120 8264 10330 10888 13610 14240 16528 20660 21776 27220 33056 41320 43552 54440 82640 91937 108880 121129 165280 183874 217760 242258 367748 459685 484516 605645 735496 919370 969032 1211290 1405913 1470992 1838740 1938064 2422580 2811826 2941984 3677480 3876128 4845160 5623652 7029565 7354960 9690320 11247304 14059130 14709920 19380640 22494608 28118260 44989216 56236520 112473040 125126257 224946080 250252514 500505028 625631285 1001010056 1251262570 2002020112 2502525140 4004040224 5005050280 10010100560 20020201120