Search a number
-
+
101322032022020 = 2255066101601101
BaseRepresentation
bin10111000010011011011111…
…101110100000001000000100
3111021202021212121210122221102
4113002123133232200020010
5101240030010144201040
6555254410545035232
730225163260002165
oct2702333756401004
9437667777718842
10101322032022020
112a314483686627
12b444a7b625b18
13446c81b8c47b4
141b040264b576c
15baa942a4b515
hex5c26dfba0204

101322032022020 has 12 divisors (see below), whose sum is σ = 212776267246284. Its totient is φ = 40528812808800.

The previous prime is 101322032022007. The next prime is 101322032022031. The reversal of 101322032022020 is 20220230223101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26653491940804 + 74668540081216 = 5162702^2 + 8641096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5066101601101 = 101322032022020 / (1 + 0 + 1 + 3 + 2 + 2 + 0 + 3 + 2 + 0 + 2 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 101322032021983 and 101322032022001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2533050800531 + ... + 2533050800570.

It is an arithmetic number, because the mean of its divisors is an integer number (17731355603857).

Almost surely, 2101322032022020 is an apocalyptic number.

101322032022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322032022020 is an abundant number, since it is smaller than the sum of its proper divisors (111454235224264).

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

101322032022020 is a wasteful number, since it uses less digits than its factorization.

101322032022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066101601110 (or 5066101601108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101322032022020 its reverse (20220230223101), we get a palindrome (121542262245121).

The spelling of 101322032022020 in words is "one hundred one trillion, three hundred twenty-two billion, thirty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 5066101601101 10132203202202 20264406404404 25330508005505 50661016011010 101322032022020