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10010141017761 = 341233997335023
BaseRepresentation
bin1001000110101010101011…
…1001100100011010100001
31022102221220221100022221210
42101222222321210122201
52303001232100032021
633142332330140333
72052131424515613
oct221525271443241
938387827308853
1010010141017761
11320a305705835
121158047b816a9
13577c4c11b351
142686c9cbcdb3
151255c03a8e76
hex91aaae646a1

10010141017761 has 32 divisors (see below), whose sum is σ = 13732836429312. Its totient is φ = 6481882967040.

The previous prime is 10010141017759. The next prime is 10010141017763. The reversal of 10010141017761 is 16771014101001.

It is an interprime number because it is at equal distance from previous prime (10010141017759) and next prime (10010141017763).

It is not a de Polignac number, because 10010141017761 - 21 = 10010141017759 is a prime.

It is a super-2 number, since 2×100101410177612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010141017763) 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, 285798696 + ... + 285833718.

It is an arithmetic number, because the mean of its divisors is an integer number (429151138416).

Almost surely, 210010141017761 is an apocalyptic number.

It is an amenable number.

10010141017761 is a deficient number, since it is larger than the sum of its proper divisors (3722695411551).

10010141017761 is a wasteful number, since it uses less digits than its factorization.

10010141017761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45273.

The product of its (nonzero) digits is 1176, while the sum is 30.

Adding to 10010141017761 its reverse (16771014101001), we get a palindrome (26781155118762).

The spelling of 10010141017761 in words is "ten trillion, ten billion, one hundred forty-one million, seventeen thousand, seven hundred sixty-one".

Divisors: 1 3 41 123 233 699 9553 9973 28659 29919 35023 105069 408893 1226679 1435943 2323709 4307829 6971127 8160359 24481077 95272069 285816207 334574719 349284379 1003724157 1047853137 14320659539 42961978617 81383260307 244149780921 3336713672587 10010141017761