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22054121340201 = 3234071030369809
BaseRepresentation
bin1010000001110111000000…
…00100010111110100101001
32220002100112122011022011100
411000323200010113310221
510342313320030341301
6114523305023152013
74434233454231546
oct500734004276451
986070478138140
1022054121340201
117033111601855
1225822a0745609
13c3c9053b2462
145635d4939bcd
15283a2944b286
hex140ee0117d29

22054121340201 has 24 divisors (see below), whose sum is σ = 31868852520960. Its totient is φ = 14696794958976.

The previous prime is 22054121340157. The next prime is 22054121340221. The reversal of 22054121340201 is 10204312145022.

22054121340201 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 41 + 213 + 402 + 0 + 1 = 666.

It is not a de Polignac number, because 22054121340201 - 26 = 22054121340137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22054121340221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315885985 + ... + 315955793.

It is an arithmetic number, because the mean of its divisors is an integer number (1327868855040).

Almost surely, 222054121340201 is an apocalyptic number.

It is an amenable number.

22054121340201 is a deficient number, since it is larger than the sum of its proper divisors (9814731180759).

22054121340201 is a wasteful number, since it uses less digits than its factorization.

22054121340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83525 (or 83522 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22054121340201 its reverse (10204312145022), we get a palindrome (32258433485223).

The spelling of 22054121340201 in words is "twenty-two trillion, fifty-four billion, one hundred twenty-one million, three hundred forty thousand, two hundred one".

Divisors: 1 3 9 3407 10221 10303 30663 30909 69809 92727 209427 628281 35102321 105306963 237839263 315920889 713517789 719242127 2140553367 2157726381 6473179143 2450457926689 7351373780067 22054121340201