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20422232221041 = 327246308916601
BaseRepresentation
bin1001010010010111010111…
…11001011010010101110001
32200022100100110212201111200
410221023223321122111301
510134044212422033131
6111233502144001413
74205312644464600
oct451135371322561
980270313781450
1020422232221041
116564024756132
122359b70300269
13b51a67900251
14508626d6da37
1525636847e2e6
hex1292ebe5a571

20422232221041 has 18 divisors (see below), whose sum is σ = 34314907202082. Its totient is φ = 11669846983200.

The previous prime is 20422232221009. The next prime is 20422232221073. The reversal of 20422232221041 is 14012223222402.

20422232221041 is a `hidden beast` number, since 2 + 0 + 422 + 2 + 3 + 22 + 210 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20422232221009) and next prime (20422232221073).

It can be written as a sum of positive squares in only one way, i.e., 19536179000625 + 886053220416 = 4419975^2 + 941304^2 .

It is not a de Polignac number, because 20422232221041 - 25 = 20422232221009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20422232220996 and 20422232221014.

It is not an unprimeable number, because it can be changed into a prime (20422232221841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23154457860 + ... + 23154458741.

It is an arithmetic number, because the mean of its divisors is an integer number (1906383733449).

Almost surely, 220422232221041 is an apocalyptic number.

20422232221041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20422232221041 is a deficient number, since it is larger than the sum of its proper divisors (13892674981041).

20422232221041 is a wasteful number, since it uses less digits than its factorization.

20422232221041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46308916621 (or 46308916611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20422232221041 its reverse (14012223222402), we get a palindrome (34434455443443).

The spelling of 20422232221041 in words is "twenty trillion, four hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-one thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 46308916601 138926749803 324162416207 416780249409 972487248621 2269136913449 2917461745863 6807410740347 20422232221041