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101020220020 = 2255051011001
BaseRepresentation
bin101111000010101000…
…1100011101001110100
3100122202021100220000101
41132011101203221310
53123342134020040
6114224045523444
710204242462616
oct1360521435164
9318667326011
10101020220020
113992a30a545
12176b3573584
1396abca9225
144c64752db6
152963ab209a
hex1785463a74

101020220020 has 12 divisors (see below), whose sum is σ = 212142462084. Its totient is φ = 40408088000.

The previous prime is 101020219991. The next prime is 101020220023. The reversal of 101020220020 is 20022020101.

It can be written as a sum of positive squares in 2 ways, for example, as 24093869284 + 76926350736 = 155222^2 + 277356^2 .

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 = 101020219979 and 101020220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020220023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525505481 + ... + 2525505520.

It is an arithmetic number, because the mean of its divisors is an integer number (17678538507).

Almost surely, 2101020220020 is an apocalyptic number.

101020220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020220020 is an abundant number, since it is smaller than the sum of its proper divisors (111122242064).

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

101020220020 is a wasteful number, since it uses less digits than its factorization.

101020220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051011010 (or 5051011008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101020220020 its reverse (20022020101), we get a palindrome (121042240121).

The spelling of 101020220020 in words is "one hundred one billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 5051011001 10102022002 20204044004 25255055005 50510110010 101020220020