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101300002312332 = 223611427220344021
BaseRepresentation
bin10111000010000110111110…
…101001110101000010001100
3111021200012000100000110102210
4113002012332221311002030
5101234144401042443312
6555240324551550420
730223453330364265
oct2702067651650214
9437605010013383
10101300002312332
112a3060a946868a
12b44075198b410
13446a71a86ca15
141b02d367dd96c
15baa0a39eee3c
hex5c21bea7508c

101300002312332 has 96 divisors (see below), whose sum is σ = 240524481947904. Its totient is φ = 33174021369600.

The previous prime is 101300002312307. The next prime is 101300002312337. The reversal of 101300002312332 is 233213200003101.

It is a junction number, because it is equal to n+sod(n) for n = 101300002312299 and 101300002312308.

It is not an unprimeable number, because it can be changed into a prime (101300002312337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301152482 + ... + 2301196502.

It is an arithmetic number, because the mean of its divisors is an integer number (2505463353624).

Almost surely, 2101300002312332 is an apocalyptic number.

101300002312332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101300002312332 is an abundant number, since it is smaller than the sum of its proper divisors (139224479635572).

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

101300002312332 is a wasteful number, since it uses less digits than its factorization.

101300002312332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47719 (or 47717 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101300002312332 its reverse (233213200003101), we get a palindrome (334513202315433).

The spelling of 101300002312332 in words is "one hundred one trillion, three hundred billion, two million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 1427 2203 2854 4281 4406 5708 6609 8562 8812 13218 17124 26436 44021 87047 88042 132063 134383 174094 176084 261141 264126 268766 348188 403149 522282 528252 537532 806298 1044564 1612596 2685281 3143681 5370562 6287362 8055843 9431043 10741124 12574724 16111686 18862086 32223372 37724172 62817967 96978263 125635934 188453901 191764541 193956526 251271868 290934789 376907802 383529082 387913052 575293623 581869578 753815604 767058164 1150587246 1163739156 2301174492 3831895987 5915674043 7663791974 11495687961 11831348086 15327583948 17747022129 22991375922 23662696172 35494044258 45982751844 70988088516 138387981301 276775962602 415163943903 553551925204 830327887806 1660655775612 8441666859361 16883333718722 25325000578083 33766667437444 50650001156166 101300002312332