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10132121103000 = 2335313259797977
BaseRepresentation
bin1001001101110001000101…
…1110101010101010011000
31022212121202221101200202120
42103130101132222222120
52312001041000244000
633314344314501240
72064010256240361
oct223342136525230
938777687350676
1010132121103000
113257010245236
12117780aa34820
135865bb5c9390
1427057c1b8b68
1512885e0db6a0
hex937117aaa98

10132121103000 has 128 divisors (see below), whose sum is σ = 34043927037120. Its totient is φ = 2494060569600.

The previous prime is 10132121102969. The next prime is 10132121103001. The reversal of 10132121103000 is 30112123101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132121103001) 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, 129859989 + ... + 129937988.

Almost surely, 210132121103000 is an apocalyptic number.

10132121103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132121103000 is an abundant number, since it is smaller than the sum of its proper divisors (23911805934120).

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

10132121103000 is a wasteful number, since it uses less digits than its factorization.

10132121103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259798014 (or 259798000 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10132121103000 its reverse (30112123101), we get a palindrome (10162233226101).

The spelling of 10132121103000 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 259797977 519595954 779393931 1039191908 1298989885 1558787862 2078383816 2597979770 3117575724 3377373701 3896969655 5195959540 6235151448 6494949425 6754747402 7793939310 10132121103 10391919080 12989898850 13509494804 15587878620 16886868505 19484848275 20264242206 25979797700 27018989608 31175757240 32474747125 33773737010 38969696550 40528484412 50660605515 51959595400 64949494250 67547474020 77939393100 81056968824 84434342525 97424241375 101321211030 129898988500 135094948040 155878786200 168868685050 194848482750 202642422060 253303027575 259797977000 337737370100 389696965500 405284844120 422171712625 506606055150 675474740200 779393931000 844343425250 1013212110300 1266515137875 1688686850500 2026424220600 2533030275750 3377373701000 5066060551500 10132121103000