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101141040040 = 23510132496077
BaseRepresentation
bin101111000110001111…
…0011100101110101000
3100200001200201011220221
41132030132130232220
53124114101240130
6114244043255424
710210240440565
oct1361436345650
9320050634827
10101141040040
11399915313a7
1217727b1a574
1396cb02c471
144c7680386c
15296e4ca87a
hex178c79cba8

101141040040 has 32 divisors (see below), whose sum is σ = 227792078280. Its totient is φ = 40416462592.

The previous prime is 101141040019. The next prime is 101141040041. The reversal of 101141040040 is 40040141101.

It can be written as a sum of positive squares in 4 ways, for example, as 46724280964 + 54416759076 = 216158^2 + 233274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101141039996 and 101141040023.

It is not an unprimeable number, because it can be changed into a prime (101141040041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207519 + ... + 1288558.

Almost surely, 2101141040040 is an apocalyptic number.

101141040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141040040 is an abundant number, since it is smaller than the sum of its proper divisors (126651038240).

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

101141040040 is a wasteful number, since it uses less digits than its factorization.

101141040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497101 (or 2497097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101141040040 its reverse (40040141101), we get a palindrome (141181181141).

It can be divided in two parts, 101 and 141040040, that added together give a palindrome (141040141).

The spelling of 101141040040 in words is "one hundred one billion, one hundred forty-one million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1013 2026 4052 5065 8104 10130 20260 40520 2496077 4992154 9984308 12480385 19968616 24960770 49921540 99843080 2528526001 5057052002 10114104004 12642630005 20228208008 25285260010 50570520020 101141040040