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1100242420431 = 37115239299803
BaseRepresentation
bin10000000000101011100…
…011110000001011001111
310220011220210020000001020
4100000223203300023033
5121011244024423211
62201235553245223
7142330014160440
oct20005343601317
93804823200036
101100242420431
11394679188060
12159298b63813
137c9a2095a0b
143b37576d2c7
151d946dd9306
hex1002b8f02cf

1100242420431 has 64 divisors (see below), whose sum is σ = 1834631147520. Its totient is φ = 569789475840.

The previous prime is 1100242420427. The next prime is 1100242420481. The reversal of 1100242420431 is 1340242420011.

It is not a de Polignac number, because 1100242420431 - 22 = 1100242420427 is a prime.

It is a super-2 number, since 2×11002424204312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100242420481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112230376 + ... + 112240178.

It is an arithmetic number, because the mean of its divisors is an integer number (28666111680).

Almost surely, 21100242420431 is an apocalyptic number.

1100242420431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100242420431 is a deficient number, since it is larger than the sum of its proper divisors (734388727089).

1100242420431 is a wasteful number, since it uses less digits than its factorization.

1100242420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1100242420431 its reverse (1340242420011), we get a palindrome (2440484840442).

The spelling of 1100242420431 in words is "one trillion, one hundred billion, two hundred forty-two million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 523 929 1569 2787 3661 5753 6503 9803 10219 10983 17259 19509 29409 30657 40271 68621 71533 107833 120813 205863 214599 323499 485867 754831 1457601 2264493 3401069 5126969 5344537 9106987 10203207 15380907 16033611 27320961 35888783 37411759 56396659 63748909 100176857 107666349 112235277 169189977 191246727 300530571 394776613 701237999 1184329839 2103713997 4762954201 14288862603 33340679407 52392496211 100022038221 157177488633 366747473477 1100242420431