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104111361123 = 37114876771367
BaseRepresentation
bin110000011110110000…
…1010100110001100011
3100221201200220010102220
41200331201110301203
53201210002023443
6115454511442123
710343655653040
oct1407541246143
9327650803386
10104111361123
1140176170610
1218216826343
139a82521bc3
1450790c21c7
152a9515aa83
hex183d854c63

104111361123 has 64 divisors (see below), whose sum is σ = 173806829568. Its totient is φ = 53853621120.

The previous prime is 104111361073. The next prime is 104111361169. The reversal of 104111361123 is 321163111401.

It is not a de Polignac number, because 104111361123 - 222 = 104107166819 is a prime.

It is a super-2 number, since 2×1041113611232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104111361093 and 104111361102.

It is not an unprimeable number, because it can be changed into a prime (104111361323) 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, 76159786 + ... + 76161152.

It is an arithmetic number, because the mean of its divisors is an integer number (2715731712).

Almost surely, 2104111361123 is an apocalyptic number.

104111361123 is a deficient number, since it is larger than the sum of its proper divisors (69695468445).

104111361123 is a wasteful number, since it uses less digits than its factorization.

104111361123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 104111361123 its reverse (321163111401), we get a palindrome (425274472524).

The spelling of 104111361123 in words is "one hundred four billion, one hundred eleven million, three hundred sixty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 231 487 677 1367 1461 2031 3409 4101 4739 5357 7447 9569 10227 14217 15037 16071 22341 28707 37499 45111 52129 105259 112497 156387 315777 329699 665729 925459 989097 1997187 2307893 2776377 3626689 4660103 6478213 6923679 7323019 10180049 10880067 13980309 19434639 21969057 25386823 30540147 51261133 71260343 76160469 153783399 213781029 450698533 1352095599 3154889731 4957683863 9464669193 14873051589 34703787041 104111361123