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1323300300021 = 387239120557
BaseRepresentation
bin10011010000011010110…
…110000010010011110101
311200111200001222100000000
4103100122312002103311
5133140104334100041
62451525445541513
7164414420650260
oct23203266022365
94614601870000
101323300300021
11470232580497
1219456a714899
1397a2c45ab0b
1448095cc7cd7
152464e7a2bb6
hex1341ad824f5

1323300300021 has 72 divisors (see below), whose sum is σ = 2277909653760. Its totient is φ = 753001456032.

The previous prime is 1323300300013. The next prime is 1323300300029. The reversal of 1323300300021 is 1200030033231.

1323300300021 is a `hidden beast` number, since 1 + 32 + 330 + 0 + 300 + 0 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1323300300013) and next prime (1323300300029).

It is not a de Polignac number, because 1323300300021 - 23 = 1323300300013 is a prime.

It is a super-2 number, since 2×13233003000212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1323300299967 and 1323300300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323300300029) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10916275 + ... + 11036831.

It is an arithmetic number, because the mean of its divisors is an integer number (31637634080).

Almost surely, 21323300300021 is an apocalyptic number.

It is an amenable number.

1323300300021 is a deficient number, since it is larger than the sum of its proper divisors (954609353739).

1323300300021 is an frugal number, since it uses more digits than its factorization.

1323300300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120827 (or 120806 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1323300300021 its reverse (1200030033231), we get a palindrome (2523330333252).

The spelling of 1323300300021 in words is "one trillion, three hundred twenty-three billion, three hundred million, three hundred thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 239 243 567 717 729 1673 1701 2151 2187 5019 5103 6453 6561 15057 15309 19359 45171 45927 58077 120557 135513 174231 361671 406539 522693 843899 1085013 1219617 1568079 2531697 3255039 3658851 7595091 9765117 10976553 22785273 28813123 29295351 68355819 86439369 87886053 201691861 205067457 259318107 263658159 605075583 615202371 777954321 790974477 1815226749 1845607113 2333862963 5445680247 5536821339 7001588889 16337040741 21004766667 49011122223 63014300001 147033366669 189042900003 441100100007 1323300300021