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10132312003100 = 2252763672273399
BaseRepresentation
bin1001001101110001110011…
…0110111001001000011100
31022212122021020121102110122
42103130130312321020130
52312001433333044400
633314415254254112
72064015064664420
oct223343466711034
938778236542418
1010132312003100
1132570a8a82311
121177862957338
1358661c018711
142705996acb80
15128870c49685
hex9371cdb921c

10132312003100 has 72 divisors (see below), whose sum is σ = 25132091443200. Its totient is φ = 3473388400320.

The previous prime is 10132312003067. The next prime is 10132312003127. The reversal of 10132312003100 is 130021323101.

10132312003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101323120031003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320201 + ... + 5593599.

It is an arithmetic number, because the mean of its divisors is an integer number (349056825600).

Almost surely, 210132312003100 is an apocalyptic number.

10132312003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132312003100 is an abundant number, since it is smaller than the sum of its proper divisors (14999779440100).

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

10132312003100 is a wasteful number, since it uses less digits than its factorization.

10132312003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279787 (or 2279780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10132312003100 its reverse (130021323101), we get a palindrome (10262333326201).

The spelling of 10132312003100 in words is "ten trillion, one hundred thirty-two billion, three hundred twelve million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 6367 12734 25468 31835 44569 63670 89138 127340 159175 178276 222845 318350 445690 636700 891380 1114225 2228450 2273399 4456900 4546798 9093596 11366995 15913793 22733990 31827586 45467980 56834975 63655172 79568965 113669950 159137930 227339900 318275860 397844825 795689650 1591379300 14474731433 28949462866 57898925732 72373657165 101323120031 144747314330 202646240062 289494628660 361868285825 405292480124 506615600155 723736571650 1013231200310 1447473143300 2026462400620 2533078000775 5066156001550 10132312003100