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202111380 = 223251122841
BaseRepresentation
bin11000000101111…
…11100110010100
3112002022022200200
430002333212110
5403220031010
632015540500
75002630002
oct1402774624
9462268620
10202111380
11a40a52a9
125782a730
1332b46343
141cbb1a72
1512b24cc0
hexc0bf994

202111380 has 36 divisors (see below), whose sum is σ = 613071732. Its totient is φ = 53896320.

The previous prime is 202111363. The next prime is 202111381. The reversal of 202111380 is 83111202.

202111380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35856144 + 166255236 = 5988^2 + 12894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561241 + ... + 561600.

Almost surely, 2202111380 is an apocalyptic number.

202111380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111380 is an abundant number, since it is smaller than the sum of its proper divisors (410960352).

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

202111380 is a wasteful number, since it uses less digits than its factorization.

202111380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122856 (or 1122851 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 202111380 is about 14216.5881982985. The cubic root of 202111380 is about 586.8542523126.

Adding to 202111380 its reverse (83111202), we get a palindrome (285222582).

The spelling of 202111380 in words is "two hundred two million, one hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1122841 2245682 3368523 4491364 5614205 6737046 10105569 11228410 13474092 16842615 20211138 22456820 33685230 40422276 50527845 67370460 101055690 202111380