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1330203120102 = 23630710492833
BaseRepresentation
bin10011010110110110010…
…010001101000111100110
311201011111010211221000000
4103112312102031013212
5133243223444320402
62455030433202130
7165050446651203
oct23266622150746
94634433757000
101330203120102
11473154a8a37a
12195976400346
139858c599a3c
144854c988caa
15249057c2c1c
hex135b648d1e6

1330203120102 has 112 divisors (see below), whose sum is σ = 3005254652400. Its totient is φ = 441379570176.

The previous prime is 1330203120073. The next prime is 1330203120109. The reversal of 1330203120102 is 2010213020331.

1330203120102 is a `hidden beast` number, since 1 + 330 + 20 + 312 + 0 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330203120109) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 469537278 + ... + 469540110.

It is an arithmetic number, because the mean of its divisors is an integer number (26832630825).

Almost surely, 21330203120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330203120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502627326200).

1330203120102 is an abundant number, since it is smaller than the sum of its proper divisors (1675051532298).

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

1330203120102 is a wasteful number, since it uses less digits than its factorization.

1330203120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4194 counting only the distinct ones).

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

Adding to 1330203120102 its reverse (2010213020331), we get a palindrome (3340416140433).

The spelling of 1330203120102 in words is "one trillion, three hundred thirty billion, two hundred three million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 307 486 614 729 921 1049 1458 1842 2098 2763 2833 3147 5526 5666 6294 8289 8499 9441 16578 16998 18882 24867 25497 28323 49734 50994 56646 74601 76491 84969 149202 152982 169938 223803 229473 254907 322043 447606 458946 509814 644086 688419 764721 869731 966129 1376838 1529442 1739462 1932258 2065257 2609193 2898387 2971817 4130514 5218386 5796774 5943634 7827579 8695161 8915451 15655158 17390322 17830902 23482737 26085483 26746353 46965474 52170966 53492706 70448211 78256449 80239059 140896422 156512898 160478118 211344633 234769347 240717177 422689266 469538694 481434354 634033899 722151531 912347819 1268067798 1444303062 1824695638 2166454593 2737043457 4332909186 5474086914 8211130371 16422260742 24633391113 49266782226 73900173339 147800346678 221700520017 443401040034 665101560051 1330203120102