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202241041331 = 7179911714939
BaseRepresentation
bin1011110001011010000…
…0010110001110110011
3201100000112012101021012
42330112200112032303
511303142201310311
6232524103221135
720416502326130
oct2742640261663
9640015171235
10202241041331
117885188277a
12332421477ab
13160c06c0334
149b079a3587
1553da09b78b
hex2f168163b3

202241041331 has 16 divisors (see below), whose sum is σ = 244975749120. Its totient is φ = 162987707520.

The previous prime is 202241041309. The next prime is 202241041357. The reversal of 202241041331 is 133140142202.

202241041331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202241041331 - 218 = 202240779187 is a prime.

It is a super-2 number, since 2×2022410413312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202241041297 and 202241041306.

It is not an unprimeable number, because it can be changed into a prime (202241041361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739541 + ... + 975398.

It is an arithmetic number, because the mean of its divisors is an integer number (15310984320).

Almost surely, 2202241041331 is an apocalyptic number.

202241041331 is a deficient number, since it is larger than the sum of its proper divisors (42734707789).

202241041331 is a wasteful number, since it uses less digits than its factorization.

202241041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715954.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 202241041331 its reverse (133140142202), we get a palindrome (335381183533).

The spelling of 202241041331 in words is "two hundred two billion, two hundred forty-one million, forty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 119 991 6937 16847 117929 1714939 12004573 29153963 204077741 1699504549 11896531843 28891577333 202241041331