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141022022313033 = 3259669262600573
BaseRepresentation
bin100000000100001000111111…
…100010111010010001001001
3200111022120111012112101021200
4200010020333202322101021
5121441001100203004113
61215532342300054413
741463335114435301
oct4004107742722111
9614276435471250
10141022022313033
1140a30116182944
1213997019b34409
13608c4203413a4
1426b7706442601
15114848e2dc873
hex80423f8ba449

141022022313033 has 12 divisors (see below), whose sum is σ = 203701891257540. Its totient is φ = 94013105580576.

The previous prime is 141022022313023. The next prime is 141022022313037. The reversal of 141022022313033 is 330313220220141.

141022022313033 is a `hidden beast` number, since 1 + 4 + 102 + 20 + 2 + 231 + 303 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62399698825104 + 78622323487929 = 7899348^2 + 8866923^2 .

It is not a de Polignac number, because 141022022313033 - 213 = 141022022304841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141022022312988 and 141022022313006.

It is not an unprimeable number, because it can be changed into a prime (141022022313037) 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 11 ways as a sum of consecutive naturals, for example, 130763266 + ... + 131837307.

It is an arithmetic number, because the mean of its divisors is an integer number (16975157604795).

Almost surely, 2141022022313033 is an apocalyptic number.

It is an amenable number.

141022022313033 is a deficient number, since it is larger than the sum of its proper divisors (62679868944507).

141022022313033 is a wasteful number, since it uses less digits than its factorization.

141022022313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262660248 (or 262660245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 141022022313033 its reverse (330313220220141), we get a palindrome (471335242533174).

The spelling of 141022022313033 in words is "one hundred forty-one trillion, twenty-two billion, twenty-two million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 59669 179007 537021 262600573 787801719 2363405157 15669113590337 47007340771011 141022022313033