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104420110311 = 33112912795461
BaseRepresentation
bin110000100111111101…
…1000110111111100111
3100222112012212012201000
41201033323012333213
53202323022012221
6115545301204343
710354425202326
oct1411773067747
9328465765630
10104420110311
1140314480430
12182a21006b3
139b0149412a
1450a80d20bd
152ab22e6e26
hex184fec6fe7

104420110311 has 64 divisors (see below), whose sum is σ = 175955558400. Its totient is φ = 60620918400.

The previous prime is 104420110279. The next prime is 104420110321. The reversal of 104420110311 is 113011024401.

104420110311 is a `hidden beast` number, since 104 + 420 + 110 + 31 + 1 = 666.

It is not a de Polignac number, because 104420110311 - 25 = 104420110279 is a prime.

It is a super-2 number, since 2×1044201103112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104420110321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046121 + ... + 1141581.

It is an arithmetic number, because the mean of its divisors is an integer number (2749305600).

Almost surely, 2104420110311 is an apocalyptic number.

104420110311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104420110311 is a deficient number, since it is larger than the sum of its proper divisors (71535448089).

104420110311 is a wasteful number, since it uses less digits than its factorization.

104420110311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95637 (or 95631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104420110311 its reverse (113011024401), we get a palindrome (217431134712).

The spelling of 104420110311 in words is "one hundred four billion, four hundred twenty million, one hundred ten thousand, three hundred eleven".

Divisors: 1 3 9 11 27 29 33 87 99 127 261 297 319 381 783 957 1143 1397 2871 3429 3683 4191 8613 11049 12573 33147 37719 40513 95461 99441 121539 286383 364617 859149 1050071 1093851 2577447 2768369 3150213 8305107 9450639 12123547 24915321 28351917 30452059 36370641 74745963 91356177 109111923 133359017 274068531 327335769 351582863 400077051 822205593 1054748589 1200231153 3164245767 3600693459 3867411493 9492737301 11602234479 34806703437 104420110311