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111105427368 = 233131922384047
BaseRepresentation
bin110011101111001100…
…1100100011110101000
3101121210010110111122110
41213132121210132220
53310020442133433
6123012514522320
711012203356525
oct1473631443650
9347703414573
10111105427368
1143135132051
1219648b963a0
13a62852b040
14553dd3614c
152d541a1963
hex19de6647a8

111105427368 has 128 divisors (see below), whose sum is σ = 316289433600. Its totient is φ = 32241390336.

The previous prime is 111105427337. The next prime is 111105427379. The reversal of 111105427368 is 863724501111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279921 + ... + 1363967.

It is an arithmetic number, because the mean of its divisors is an integer number (2471011200).

Almost surely, 2111105427368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111105427368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158144716800).

111105427368 is an abundant number, since it is smaller than the sum of its proper divisors (205184006232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111105427368 is a wasteful number, since it uses less digits than its factorization.

111105427368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84311 (or 84307 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 111105427368 its reverse (863724501111), we get a palindrome (974829928479).

The spelling of 111105427368 in words is "one hundred eleven billion, one hundred five million, four hundred twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 223 228 247 312 446 456 494 669 741 892 988 1338 1482 1784 1976 2676 2899 2964 4237 5352 5798 5928 8474 8697 11596 12711 16948 17394 23192 25422 33896 34788 50844 55081 69576 84047 101688 110162 165243 168094 220324 252141 330486 336188 440648 504282 660972 672376 1008564 1092611 1321944 1596893 2017128 2185222 3193786 3277833 4370444 4790679 6387572 6555666 8740888 9581358 12775144 13111332 18742481 19162716 20759609 26222664 37484962 38325432 41519218 56227443 62278827 74969924 83038436 112454886 124557654 149939848 166076872 224909772 243652253 249115308 356107139 449819544 487304506 498230616 712214278 730956759 974609012 1068321417 1424428556 1461913518 1949218024 2136642834 2848857112 2923827036 4273285668 4629392807 5847654072 8546571336 9258785614 13888178421 18517571228 27776356842 37035142456 55552713684 111105427368