Search a number
-
+
20202012120 = 23355310330839
BaseRepresentation
bin10010110100001000…
…100011110111011000
31221010220122112210010
4102310020203313120
5312333203341440
613140343121520
71313424161343
oct226410436730
957126575703
1020202012120
118627566794
123ab97432a0
131b9c4b7a34
14d9906d45a
157d3871580
hex4b4223dd8

20202012120 has 128 divisors (see below), whose sum is σ = 62351078400. Its totient is φ = 5234072064.

The previous prime is 20202012113. The next prime is 20202012121. The reversal of 20202012120 is 2121020202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20202012096 and 20202012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202012121) 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, 639661 + ... + 670499.

It is an arithmetic number, because the mean of its divisors is an integer number (487117800).

Almost surely, 220202012120 is an apocalyptic number.

20202012120 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 20202012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31175539200).

20202012120 is an abundant number, since it is smaller than the sum of its proper divisors (42149066280).

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

20202012120 is a wasteful number, since it uses less digits than its factorization.

20202012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31009 (or 31005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20202012120 its reverse (2121020202), we get a palindrome (22323032322).

The spelling of 20202012120 in words is "twenty billion, two hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 103 106 120 159 206 212 265 309 318 412 424 515 530 618 636 795 824 1030 1060 1236 1272 1545 1590 2060 2120 2472 3090 3180 4120 5459 6180 6360 10918 12360 16377 21836 27295 30839 32754 43672 54590 61678 65508 81885 92517 109180 123356 131016 154195 163770 185034 218360 246712 308390 327540 370068 462585 616780 655080 740136 925170 1233560 1634467 1850340 3176417 3268934 3700680 4903401 6352834 6537868 8172335 9529251 9806802 12705668 13075736 15882085 16344670 19058502 19613604 24517005 25411336 31764170 32689340 38117004 39227208 47646255 49034010 63528340 65378680 76234008 95292510 98068020 127056680 168350101 190585020 196136040 336700202 381170040 505050303 673400404 841750505 1010100606 1346800808 1683501010 2020201212 2525251515 3367002020 4040402424 5050503030 6734004040 10101006060 20202012120