Search a number
-
+
221020100212095 = 345545728642499
BaseRepresentation
bin110010010000010001000000…
…100011111011010101111111
31001222120022111210121120010000
4302100101000203323111333
5212432143131123241340
62102023122103245343
764361114060150052
oct6220210043732577
91058508453546100
10221020100212095
1164473109651108
1220957214449853
13964314bc02272
143c81603a18a99
151a843900eed30
hexc904408fb57f

221020100212095 has 20 divisors (see below), whose sum is σ = 396198994455000. Its totient is φ = 117877386779568.

The previous prime is 221020100212019. The next prime is 221020100212099. The reversal of 221020100212095 is 590212001020122.

It is a happy number.

It is not a de Polignac number, because 221020100212095 - 229 = 221019563341183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020100212099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272864320845 + ... + 272864321654.

It is an arithmetic number, because the mean of its divisors is an integer number (19809949722750).

Almost surely, 2221020100212095 is an apocalyptic number.

221020100212095 is a deficient number, since it is larger than the sum of its proper divisors (175178894242905).

221020100212095 is an equidigital number, since it uses as much as digits as its factorization.

221020100212095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545728642516 (or 545728642507 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 221020100212095 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, two hundred twelve thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 545728642499 1637185927497 2728643212495 4911557782491 8185929637485 14734673347473 24557788912455 44204020042419 73673366737365 221020100212095