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103232434011102 = 23211283621191943
BaseRepresentation
bin10111011110001110101100…
…100011101111101111011110
3111112111220221211011222010200
4113132032230203233233132
5102012330011101323402
61003320154145444330
730513203643661434
oct2736165443575736
9445456854158120
10103232434011102
112a9906a180a700
12b6b31793406a6
13457aa136c3656
141b6c6955c8d54
15be04a4b0521c
hex5de3ac8efbde

103232434011102 has 144 divisors (see below), whose sum is σ = 248857294218624. Its totient is φ = 30900345458400.

The previous prime is 103232434011101. The next prime is 103232434011139. The reversal of 103232434011102 is 201110434232301.

103232434011102 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 243 + 401 + 1 + 10 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232434011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1122741343 + ... + 1122833285.

It is an arithmetic number, because the mean of its divisors is an integer number (1728175654296).

Almost surely, 2103232434011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232434011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124428647109312).

103232434011102 is an abundant number, since it is smaller than the sum of its proper divisors (145624860207522).

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

103232434011102 is a wasteful number, since it uses less digits than its factorization.

103232434011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98267 (or 98253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103232434011102 its reverse (201110434232301), we get a palindrome (304342868243403).

The spelling of 103232434011102 in words is "one hundred three trillion, two hundred thirty-two billion, four hundred thirty-four million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 198 242 249 363 498 726 747 913 1089 1494 1826 2178 2739 5478 6211 8217 10043 12422 16434 18633 20086 30129 37266 55899 60258 68321 90387 91943 111798 136642 180774 183886 204963 275829 409926 515513 551658 614889 751531 827487 1011373 1031026 1229778 1503062 1546539 1654974 2022746 2254593 3034119 3093078 4509186 4639617 5670643 6068238 6763779 7631269 9102357 9279234 11125103 11341286 13527558 15262538 17011929 18204714 22250206 22893807 33375309 34023858 45787614 51035787 62377073 66750618 68681421 83943959 100125927 102071574 124754146 137362842 167887918 187131219 200251854 251831877 374262438 503663754 561393657 571057973 755495631 923383549 1122787314 1142115946 1510991262 1713173919 1846767098 2770150647 3426347838 5139521757 5540301294 6281637703 8310451941 10279043514 12563275406 16620903882 18844913109 37689826218 47397811759 56534739327 69098014733 94795623518 113069478654 138196029466 142193435277 207294044199 284386870554 414588088398 426580305831 521375929349 621882132597 853160611662 1042751858698 1243764265194 1564127788047 3128255576094 4692383364141 5735135222839 9384766728282 11470270445678 17205405668517 34410811337034 51616217005551 103232434011102