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101211110020 = 22511344783677
BaseRepresentation
bin101111001000010100…
…1101111101010000100
3100200020120120002212101
41132100221233222010
53124240021010040
6114255025201444
710212051145336
oct1362051575204
9320216502771
10101211110020
1139a1803aa79
1217747490284
13970c6c3aa7
144c81c43456
15297571c09a
hex1790a6fa84

101211110020 has 24 divisors (see below), whose sum is σ = 214424250264. Its totient is φ = 40126173696.

The previous prime is 101211110009. The next prime is 101211110023. The reversal of 101211110020 is 20011112101.

It can be written as a sum of positive squares in 4 ways, for example, as 989479936 + 100221630084 = 31456^2 + 316578^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101211109979 and 101211110006.

It is not an unprimeable number, because it can be changed into a prime (101211110023) 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, 22389579 + ... + 22394098.

It is an arithmetic number, because the mean of its divisors is an integer number (8934343761).

Almost surely, 2101211110020 is an apocalyptic number.

101211110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211110020 is an abundant number, since it is smaller than the sum of its proper divisors (113213140244).

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

101211110020 is a wasteful number, since it uses less digits than its factorization.

101211110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44783799 (or 44783797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101211110020 its reverse (20011112101), we get a palindrome (121222222121).

The spelling of 101211110020 in words is "one hundred one billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 44783677 89567354 179134708 223918385 447836770 895673540 5060555501 10121111002 20242222004 25302777505 50605555010 101211110020