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1310121000132 = 2237219111665429
BaseRepresentation
bin10011000100001001010…
…010111111110011000100
311122020122120210112022220
4103010021102333303010
5132431111434001012
62441510011452340
7163440006521400
oct23041122776304
94566576715286
101310121000132
1146568a17140a
12191ab0a570b0
139670bb9bb09
14475a5808100
152412c73508c
hex131094bfcc4

1310121000132 has 72 divisors (see below), whose sum is σ = 3574661045760. Its totient is φ = 372360461760.

The previous prime is 1310121000121. The next prime is 1310121000161. The reversal of 1310121000132 is 2310001210131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5720407 + ... + 5945022.

It is an arithmetic number, because the mean of its divisors is an integer number (49648070080).

Almost surely, 21310121000132 is an apocalyptic number.

1310121000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310121000132 is an abundant number, since it is smaller than the sum of its proper divisors (2264540045628).

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

1310121000132 is a wasteful number, since it uses less digits than its factorization.

1310121000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665641 (or 11665632 counting only the distinct ones).

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

Adding to 1310121000132 its reverse (2310001210131), we get a palindrome (3620122210263).

The spelling of 1310121000132 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2292 2674 4011 5348 8022 9359 16044 18718 28077 37436 56154 112308 11665429 23330858 34996287 46661716 69992574 81658003 139985148 163316006 244974009 326632012 489948018 571606021 979896036 1143212042 1714818063 2228096939 2286424084 3429636126 4456193878 6684290817 6859272252 8912387756 13368581634 15596678573 26737163268 31193357146 46790035719 62386714292 93580071438 109176750011 187160142876 218353500022 327530250033 436707000044 655060500066 1310121000132