Search a number
-
+
202211132112 = 243211416151043
BaseRepresentation
bin1011110001010010111…
…0010000001011010000
3201022221102220211112100
42330110232100023100
511303112022211422
6232521114200400
720415660156213
oct2742456201320
9638842824470
10202211132112
1178836a04510
1233234123100
13160b744a782
149b03a1977a
1553d763e7ac
hex2f14b902d0

202211132112 has 240 divisors, whose sum is σ = 642794233536. Its totient is φ = 58800384000.

The previous prime is 202211132083. The next prime is 202211132113. The reversal of 202211132112 is 211231112202.

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 (202211132113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3936063 + ... + 3987105.

Almost surely, 2202211132112 is an apocalyptic number.

202211132112 is a gapful number since it is divisible by the number (22) 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 202211132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321397116768).

202211132112 is an abundant number, since it is smaller than the sum of its proper divisors (440583101424).

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

202211132112 is a wasteful number, since it uses less digits than its factorization.

202211132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51170 (or 51161 counting only the distinct ones).

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

Adding to 202211132112 its reverse (211231112202), we get a palindrome (413442244314).

The spelling of 202211132112 in words is "two hundred two billion, two hundred eleven million, one hundred thirty-two thousand, one hundred twelve".