Search a number
-
+
101120001020020 = 2255056000051001
BaseRepresentation
bin10110111111011111010101…
…101111011001000001110100
3111021000222101201211101110201
4112333133111233121001310
5101223222230230120040
6555021515343330244
730204451614552433
oct2677372557310164
9437028351741421
10101120001020020
112a24682a423584
12b4118978b0984
1344567628951b8
141ad833c78911a
15ba556b13da9a
hex5bf7d5bd9074

101120001020020 has 12 divisors (see below), whose sum is σ = 212352002142084. Its totient is φ = 40448000408000.

The previous prime is 101120001019987. The next prime is 101120001020021. The reversal of 101120001020020 is 20020100021101.

It can be written as a sum of positive squares in 2 ways, for example, as 41406084779536 + 59713916240484 = 6434756^2 + 7727478^2 .

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 = 101120001019979 and 101120001020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120001020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2528000025481 + ... + 2528000025520.

It is an arithmetic number, because the mean of its divisors is an integer number (17696000178507).

Almost surely, 2101120001020020 is an apocalyptic number.

101120001020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001020020 is an abundant number, since it is smaller than the sum of its proper divisors (111232001122064).

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

101120001020020 is a wasteful number, since it uses less digits than its factorization.

101120001020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056000051010 (or 5056000051008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101120001020020 its reverse (20020100021101), we get a palindrome (121140101041121).

The spelling of 101120001020020 in words is "one hundred one trillion, one hundred twenty billion, one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 5056000051001 10112000102002 20224000204004 25280000255005 50560000510010 101120001020020