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2133300201300 = 2232527681308597
BaseRepresentation
bin11111000010110010100…
…110011100011101010100
321112221102100200200200200
4133002302212130131110
5234422444322420200
64312005150540500
7310061111343402
oct37026246343524
97487370620620
102133300201300
11752800392004
122a5545b07730
1312622808ba28
1475376388472
153a75a933800
hex1f0b299c754

2133300201300 has 108 divisors (see below), whose sum is σ = 6687603187356. Its totient is φ = 568804147200.

The previous prime is 2133300201299. The next prime is 2133300201311. The reversal of 2133300201300 is 31020033312.

2133300201300 is a `hidden beast` number, since 2 + 13 + 330 + 0 + 20 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 163330756164 + 1969969445136 = 404142^2 + 1403556^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6758602 + ... + 7067198.

Almost surely, 22133300201300 is an apocalyptic number.

2133300201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133300201300 is an abundant number, since it is smaller than the sum of its proper divisors (4554302986056).

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

2133300201300 is a wasteful number, since it uses less digits than its factorization.

2133300201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316298 (or 316288 counting only the distinct ones).

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

Adding to 2133300201300 its reverse (31020033312), we get a palindrome (2164320234612).

The spelling of 2133300201300 in words is "two trillion, one hundred thirty-three billion, three hundred million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 7681 15362 23043 30724 38405 46086 69129 76810 92172 115215 138258 153620 192025 230430 276516 308597 345645 384050 460860 576075 617194 691290 768100 925791 1152150 1234388 1382580 1542985 1728225 1851582 2304300 2777373 3085970 3456450 3703164 4628955 5554746 6171940 6912900 7714925 9257910 11109492 13886865 15429850 18515820 23144775 27773730 30859700 46289550 55547460 69434325 92579100 138868650 277737300 2370333557 4740667114 7111000671 9481334228 11851667785 14222001342 21333002013 23703335570 28444002684 35555003355 42666004026 47406671140 59258338925 71110006710 85332008052 106665010065 118516677850 142220013420 177775016775 213330020130 237033355700 355550033550 426660040260 533325050325 711100067100 1066650100650 2133300201300