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24240221214101 = 415361677270121
BaseRepresentation
bin1011000001011110111011…
…10001100101010110010101
310011211100020200202021021122
411200233131301211112111
511134122433112322401
6123315445350253325
75051204164453634
oct540573561452625
9104740220667248
1024240221214101
1177a6246a30312
122875b01057245
13106aac62550b9
145db33939151b
152c08253e721b
hex160bddc65595

24240221214101 has 32 divisors (see below), whose sum is σ = 25752796153056. Its totient is φ = 22788619776000.

The previous prime is 24240221214067. The next prime is 24240221214113. The reversal of 24240221214101 is 10141212204242.

It can be written as a sum of positive squares in 16 ways, for example, as 7625059345201 + 16615161868900 = 2761351^2 + 4076170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-24240221214101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24240221214191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89603321 + ... + 89873441.

It is an arithmetic number, because the mean of its divisors is an integer number (804774879783).

Almost surely, 224240221214101 is an apocalyptic number.

It is an amenable number.

24240221214101 is a deficient number, since it is larger than the sum of its proper divisors (1512574938955).

24240221214101 is a wasteful number, since it uses less digits than its factorization.

24240221214101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270953.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 24240221214101 its reverse (10141212204242), we get a palindrome (34381433418343).

The spelling of 24240221214101 in words is "twenty-four trillion, two hundred forty billion, two hundred twenty-one million, two hundred fourteen thousand, one hundred one".

Divisors: 1 41 53 61 677 2173 2501 3233 27757 35881 41297 132553 270121 1471121 1693177 2188741 11074961 14316413 16477381 89738381 182871917 586972933 675572621 873301193 7497748597 9692211601 11155186937 35805348913 397380675641 457362664417 591224907661 24240221214101