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202112020 = 225112979401
BaseRepresentation
bin11000000101111…
…11110000010100
3112002022100120101
430002333300110
5403220041040
632015543444
75002631605
oct1402776024
9462270511
10202112020
11a40a5830
125782ab84
1332b46716
141cbb1dac
1512b2509a
hexc0bfc14

202112020 has 96 divisors (see below), whose sum is σ = 486259200. Its totient is φ = 69888000.

The previous prime is 202112003. The next prime is 202112039. The reversal of 202112020 is 20211202.

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 = 202111988 and 202112006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503820 + ... + 504220.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2202112020 is an apocalyptic number.

202112020 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 202112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243129600).

202112020 is an abundant number, since it is smaller than the sum of its proper divisors (284147180).

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

202112020 is a wasteful number, since it uses less digits than its factorization.

202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

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

The square root of 202112020 is about 14216.6107071974. The cubic root of 202112020 is about 586.8548717504.

202112020 divided by its sum of digits (10) gives a palindrome (20211202).

Adding to 202112020 its reverse (20211202), we get a palindrome (222323222).

It can be divided in two parts, 2021 and 12020, that added together give a palindrome (14041).

The spelling of 202112020 in words is "two hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 79 110 116 145 158 220 290 316 319 395 401 580 638 790 802 869 1276 1580 1595 1604 1738 2005 2291 3190 3476 4010 4345 4411 4582 6380 8020 8690 8822 9164 11455 11629 17380 17644 22055 22910 23258 25201 31679 44110 45820 46516 50402 58145 63358 88220 100804 116290 126005 126716 127919 158395 232580 252010 255838 316790 348469 504020 511676 633580 639595 696938 918691 1279190 1393876 1742345 1837382 2558380 3484690 3674764 4593455 6969380 9186910 10105601 18373820 20211202 40422404 50528005 101056010 202112020