Search a number
-
+
202101431 = 733183229
BaseRepresentation
bin11000000101111…
…01001010110111
3112002021211001012
430002331022313
5403214221211
632015422435
75002556000
oct1402751267
9462254035
10202101431
11a4098884
1257824a1b
1332b4195c
141cbac1a7
1512b21d8b
hexc0bd2b7

202101431 has 32 divisors (see below), whose sum is σ = 247296000. Its totient is φ = 164898720.

The previous prime is 202101421. The next prime is 202101439. The reversal of 202101431 is 134101202.

It is a de Polignac number, because none of the positive numbers 2k-202101431 is a prime.

It is a super-2 number, since 2×2021014312 = 81689976824495522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101439) 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, 882425 + ... + 882653.

It is an arithmetic number, because the mean of its divisors is an integer number (7728000).

Almost surely, 2202101431 is an apocalyptic number.

202101431 is a deficient number, since it is larger than the sum of its proper divisors (45194569).

202101431 is an equidigital number, since it uses as much as digits as its factorization.

202101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 202101431 is about 14216.2382858476. The cubic root of 202101431 is about 586.8446227892.

Adding to 202101431 its reverse (134101202), we get a palindrome (336202633).

The spelling of 202101431 in words is "two hundred two million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 7 31 49 83 217 229 343 581 1519 1603 2573 4067 7099 10633 11221 18011 19007 28469 49693 78547 126077 133049 347851 589217 882539 931343 2434957 4124519 6519401 28871633 202101431