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101111220020 = 2257877641813
BaseRepresentation
bin101111000101010110…
…0101100011100110100
3100122222121121011112202
41132022230230130310
53124033433020040
6114241100204032
710206426122006
oct1361254543464
9318877534482
10101111220020
1139976714158
1217719b39618
1396c4abb395
144c72880376
15296ba8a015
hex178ab2c734

101111220020 has 24 divisors (see below), whose sum is σ = 212360849064. Its totient is φ = 40439290496.

The previous prime is 101111220013. The next prime is 101111220031. The reversal of 101111220020 is 20022111101.

It can be written as a sum of positive squares in 4 ways, for example, as 724901776 + 100386318244 = 26924^2 + 316838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101111219983 and 101111220010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 163367 + ... + 478446.

It is an arithmetic number, because the mean of its divisors is an integer number (8848368711).

Almost surely, 2101111220020 is an apocalyptic number.

101111220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111220020 is an abundant number, since it is smaller than the sum of its proper divisors (111249629044).

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

101111220020 is a wasteful number, since it uses less digits than its factorization.

101111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649699 (or 649697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101111220020 its reverse (20022111101), we get a palindrome (121133331121).

The spelling of 101111220020 in words is "one hundred one billion, one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 7877 15754 31508 39385 78770 157540 641813 1283626 2567252 3209065 6418130 12836260 5055561001 10111122002 20222244004 25277805005 50555610010 101111220020