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1330100102331 = 337111373674161
BaseRepresentation
bin10011010110110000001…
…001001110010010111011
311201011012222000002012000
4103112300021032102323
5133243021111233311
62455012313152043
7165045056216640
oct23266011162273
94634188002160
101330100102331
11473101917620
121959479bb623
139857413a790
144853d00ddc7
15248eb724056
hex135b024e4bb

1330100102331 has 128 divisors (see below), whose sum is σ = 2681978234880. Its totient is φ = 629072179200.

The previous prime is 1330100102323. The next prime is 1330100102339. The reversal of 1330100102331 is 1332010010331.

It is a happy number.

1330100102331 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 0 + 1 + 0 + 2 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (1330100102323) and next prime (1330100102339).

It is not a de Polignac number, because 1330100102331 - 23 = 1330100102323 is a prime.

It is a super-2 number, since 2×13301001023312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330100102339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1635891 + ... + 2310051.

It is an arithmetic number, because the mean of its divisors is an integer number (20952954960).

Almost surely, 21330100102331 is an apocalyptic number.

1330100102331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330100102331 is an abundant number, since it is smaller than the sum of its proper divisors (1351878132549).

1330100102331 is a wasteful number, since it uses less digits than its factorization.

1330100102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674274 (or 674268 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330100102331 its reverse (1332010010331), we get a palindrome (2662110112662).

The spelling of 1330100102331 in words is "one trillion, three hundred thirty billion, one hundred million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 73 77 91 99 117 143 189 219 231 273 297 351 429 511 657 693 803 819 949 1001 1287 1533 1971 2079 2409 2457 2847 3003 3861 4599 5621 6643 7227 8541 9009 10439 13797 16863 19929 21681 25623 27027 31317 50589 59787 73073 93951 151767 179361 219219 281853 657657 674161 1972971 2022483 4719127 6067449 7415771 8764093 14157381 18202347 22247313 26292279 42472143 49213753 51910397 61348651 66741939 78876837 96405023 127416429 147641259 155731191 184045953 200225817 236630511 289215069 344496271 442923777 467193573 541351283 552137859 639778789 674835161 867645207 1033488813 1328771331 1401580719 1624053849 1656413577 1919336367 2024505483 2602935621 3100466439 3789458981 4478451523 4872161547 5758009101 6073516449 7037566679 9301399317 11368376943 13435354569 14616484641 17274027303 18220549347 21112700037 34105130829 40306063707 49262966753 63338100111 102315392487 120918191121 147788900259 190014300333 443366700777 1330100102331