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1312300032021 = 321137892940123
BaseRepresentation
bin10011000110001011001…
…011010110000000010101
311122110021110000211010200
4103012023023112000111
5133000042302011041
62442510132011113
7163545006140136
oct23061313260025
94573243024120
101312300032021
114665a817a310
121923ba760a99
139699846b4b4
1447730d87c8d
1524208bae1b6
hex1318b2d6015

1312300032021 has 48 divisors (see below), whose sum is σ = 2124045792960. Its totient is φ = 773731906560.

The previous prime is 1312300032011. The next prime is 1312300032073. The reversal of 1312300032021 is 1202300032131.

1312300032021 is a `hidden beast` number, since 1 + 312 + 30 + 0 + 0 + 320 + 2 + 1 = 666.

It is not a de Polignac number, because 1312300032021 - 213 = 1312300023829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312300031985 and 1312300032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312300032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32686866 + ... + 32726988.

It is an arithmetic number, because the mean of its divisors is an integer number (44250954020).

Almost surely, 21312300032021 is an apocalyptic number.

1312300032021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312300032021 is a deficient number, since it is larger than the sum of its proper divisors (811745760939).

1312300032021 is a wasteful number, since it uses less digits than its factorization.

1312300032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49106 (or 49103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312300032021 its reverse (1202300032131), we get a palindrome (2514600064152).

The spelling of 1312300032021 in words is "one trillion, three hundred twelve billion, three hundred million, thirty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 8929 26787 40123 80361 98219 120369 294657 330373 361107 441353 883971 991119 1324059 1484551 2973357 3634103 3972177 4453653 10902309 13360959 16330061 32706927 48990183 146970549 358258267 1074774801 3224324403 3940840937 11822522811 13255555879 35467568433 39766667637 119300002911 145811114669 437433344007 1312300032021