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1104142412323 = 291313078631097
BaseRepresentation
bin10000000100010100000…
…001000010101000100011
310220112222120202010011101
4100010110001002220203
5121042240424143243
62203122551455231
7142525451436256
oct20042401025043
93815876663141
101104142412323
1139629a674755
12159ba7087517
1380174070022
143b6256cd09d
151dac44a754d
hex10114042a23

1104142412323 has 32 divisors (see below), whose sum is σ = 1157076264960. Its totient is φ = 1052302567680.

The previous prime is 1104142412309. The next prime is 1104142412341. The reversal of 1104142412323 is 3232142414011.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1104142412323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1104142412291 and 1104142412300.

It is not an unprimeable number, because it can be changed into a prime (1104142812323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006510311 + ... + 1006511407.

It is an arithmetic number, because the mean of its divisors is an integer number (36158633280).

Almost surely, 21104142412323 is an apocalyptic number.

1104142412323 is a deficient number, since it is larger than the sum of its proper divisors (52933852637).

1104142412323 is a wasteful number, since it uses less digits than its factorization.

1104142412323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1104142412323 its reverse (3232142414011), we get a palindrome (4336284826334).

The spelling of 1104142412323 in words is "one trillion, one hundred four billion, one hundred forty-two million, four hundred twelve thousand, three hundred twenty-three".

Divisors: 1 29 131 307 863 1097 3799 8903 25027 31813 40217 113053 143707 264941 336779 946711 1166293 3278537 4167503 7683289 9766591 27454619 34707271 44118049 124019141 290640277 1006510859 1279423421 3596555089 8428568033 38073876287 1104142412323