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202106541 = 37137110427
BaseRepresentation
bin11000000101111…
…10011010101101
3112002022002001110
430002332122231
5403214402131
632015502233
75002606620
oct1402763255
9462262043
10202106541
11a40a16aa
1257827979
1332b44090
141cbaddb7
1512b23646
hexc0be6ad

202106541 has 32 divisors (see below), whose sum is σ = 336365568. Its totient is φ = 105094080.

The previous prime is 202106521. The next prime is 202106609. The reversal of 202106541 is 145601202.

It is not a de Polignac number, because 202106541 - 210 = 202105517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202106501) 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, 14170 + ... + 24596.

It is an arithmetic number, because the mean of its divisors is an integer number (10511424).

Almost surely, 2202106541 is an apocalyptic number.

202106541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202106541 is a deficient number, since it is larger than the sum of its proper divisors (134259027).

202106541 is a wasteful number, since it uses less digits than its factorization.

202106541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 202106541 is about 14216.4180087672. The cubic root of 202106541 is about 586.8495687392.

Adding to 202106541 its reverse (145601202), we get a palindrome (347707743).

The spelling of 202106541 in words is "two hundred two million, one hundred six thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 39 71 91 213 273 497 923 1491 2769 6461 10427 19383 31281 72989 135551 218967 406653 740317 948857 2220951 2846571 5182219 9624121 15546657 28872363 67368847 202106541