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102132330103212 = 223233121415575397
BaseRepresentation
bin10111001110001110001001…
…010000011000000110101100
3111101121202101200121010120120
4113032032021100120012230
5101341314003001300322
61001114540021044540
730340550231024433
oct2716161120300654
9441552350533516
10102132330103212
112a5a7094839122
12b555b1a856750
1344cb064236c26
141b313343d411a
15bc1a69e7ba5c
hex5ce3894181ac

102132330103212 has 96 divisors (see below), whose sum is σ = 256811574104064. Its totient is φ = 31498757241600.

The previous prime is 102132330103201. The next prime is 102132330103229. The reversal of 102132330103212 is 212301033231201.

It is a super-2 number, since 2×1021323301032122 (a number of 29 digits) contains 22 as substring.

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, 15530698 + ... + 21106094.

It is an arithmetic number, because the mean of its divisors is an integer number (2675120563584).

Almost surely, 2102132330103212 is an apocalyptic number.

102132330103212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132330103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128405787052032).

102132330103212 is an abundant number, since it is smaller than the sum of its proper divisors (154679244000852).

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

102132330103212 is a wasteful number, since it uses less digits than its factorization.

102132330103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577599 (or 5577597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102132330103212 its reverse (212301033231201), we get a palindrome (314433363334413).

The spelling of 102132330103212 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2141 2852 4278 4282 6423 8556 8564 12846 25692 49243 66371 98486 132742 147729 196972 199113 265484 295458 398226 590916 796452 1526533 3053066 4579599 5575397 6106132 9159198 11150794 16726191 18318396 22301588 33452382 66904764 128234131 172837307 256468262 345674614 384702393 512936524 518511921 691349228 769404786 1037023842 1538809572 2074047684 3975258061 7950516122 11925774183 11936924977 15901032244 23851548366 23873849954 35810774931 47703096732 47747699908 71621549862 143243099724 274549274471 370044674287 549098548942 740089348574 823647823413 1098197097884 1110134022861 1480178697148 1647295646826 2220268045722 3294591293652 4440536091444 8511027508601 17022055017202 25533082525803 34044110034404 51066165051606 102132330103212