Search a number
-
+
202111320 = 23353154331
BaseRepresentation
bin11000000101111…
…11100101011000
3112002022022121110
430002333211120
5403220030240
632015540320
75002626555
oct1402774530
9462268543
10202111320
11a40a5254
125782a6a0
1332b462c8
141cbb1a2c
1512b24c80
hexc0bf958

202111320 has 64 divisors (see below), whose sum is σ = 625904640. Its totient is φ = 52156800.

The previous prime is 202111277. The next prime is 202111321. The reversal of 202111320 is 23111202.

202111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 202111296 and 202111305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111321) 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, 23446 + ... + 30885.

It is an arithmetic number, because the mean of its divisors is an integer number (9779760).

Almost surely, 2202111320 is an apocalyptic number.

202111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111320 is an abundant number, since it is smaller than the sum of its proper divisors (423793320).

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

202111320 is a wasteful number, since it uses less digits than its factorization.

202111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54376 (or 54372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 202111320 is about 14216.5860880874. The cubic root of 202111320 is about 586.8541942402.

Adding to 202111320 its reverse (23111202), we get a palindrome (225222522).

The spelling of 202111320 in words is "two hundred two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 54331 108662 162993 217324 271655 325986 434648 543310 651972 814965 1086620 1303944 1629930 1684261 2173240 3259860 3368522 5052783 6519720 6737044 8421305 10105566 13474088 16842610 20211132 25263915 33685220 40422264 50527830 67370440 101055660 202111320