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202102033410041 = 17295373105955873
BaseRepresentation
bin101101111100111110001011…
…111010001110011111111001
3222111120202200012100011222012
4231330332023322032133321
5202442214431023110131
61553500220432335305
760366250535433332
oct5574761372163771
9874522605304865
10202102033410041
1159439a9a0862a6
121a80088a0a4535
1388a01a86a719b
1437c9b0d609289
15185720ea6852b
hexb7cf8be8e7f9

202102033410041 has 32 divisors (see below), whose sum is σ = 228635823152160. Its totient is φ = 177721055576064.

The previous prime is 202102033409963. The next prime is 202102033410049. The reversal of 202102033410041 is 140014330201202.

It can be written as a sum of positive squares in 16 ways, for example, as 92778114025 + 202009255296016 = 304595^2 + 14212996^2 .

It is a cyclic number.

It is not a de Polignac number, because 202102033410041 - 218 = 202102033147897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202102033409989 and 202102033410016.

It is not an unprimeable number, because it can be changed into a prime (202102033410049) 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, 51070520 + ... + 54885353.

It is an arithmetic number, because the mean of its divisors is an integer number (7144869473505).

Almost surely, 2202102033410041 is an apocalyptic number.

It is an amenable number.

202102033410041 is a deficient number, since it is larger than the sum of its proper divisors (26533789742119).

202102033410041 is a wasteful number, since it uses less digits than its factorization.

202102033410041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105956045.

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

Adding to 202102033410041 its reverse (140014330201202), we get a palindrome (342116363611243).

The spelling of 202102033410041 in words is "two hundred two trillion, one hundred two billion, thirty-three million, four hundred ten thousand, forty-one".

Divisors: 1 17 29 53 73 493 901 1241 1537 2117 3869 26129 35989 65773 112201 1907417 105955873 1801249841 3072720317 5615661269 7734778729 52236245389 95466241573 131491238393 162854176801 224308583141 409943272637 2768521005617 3813245913397 6969035634829 11888354906473 202102033410041