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141010010022132 = 22328764334469189
BaseRepresentation
bin100000000011111101110011…
…100011101010000011110100
3200111021102111001021202222200
4200003331303203222003310
5121440302000031202012
61215523034311024500
741462431333601106
oct4003756343520364
9614242431252880
10141010010022132
1140a260115969a9
121399482706b130
13608b257795354
1426b6cc6d45576
151147ed99403dc
hex803f738ea0f4

141010010022132 has 36 divisors (see below), whose sum is σ = 356442456229860. Its totient is φ = 47003272526592.

The previous prime is 141010010022127. The next prime is 141010010022157. The reversal of 141010010022132 is 231220010010141.

141010010022132 is a `hidden beast` number, since 1 + 410 + 1 + 0 + 0 + 1 + 0 + 0 + 221 + 32 = 666.

141010010022132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87781983593616 + 53228026428516 = 9369204^2 + 7295754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29316994 + ... + 33786182.

Almost surely, 2141010010022132 is an apocalyptic number.

141010010022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141010010022132 is an abundant number, since it is smaller than the sum of its proper divisors (215432446207728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141010010022132 is a wasteful number, since it uses less digits than its factorization.

141010010022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345632 (or 5345627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 141010010022132 its reverse (231220010010141), we get a palindrome (372230020032273).

The spelling of 141010010022132 in words is "one hundred forty-one trillion, ten billion, ten million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 876433 1752866 2629299 3505732 4469189 5258598 7887897 8938378 10517196 13407567 15775794 17876756 26815134 31551588 40222701 53630268 80445402 160890804 3916944722837 7833889445674 11750834168511 15667778891348 23501668337022 35252502505533 47003336674044 70505005011066 141010010022132