Search a number
-
+
1332000131202 = 2321337229766977
BaseRepresentation
bin10011011000100001011…
…001010000100010000010
311201100010101020112210200
4103120201121100202002
5133310414013144302
62455525025310030
7165143130206466
oct23304131204202
94640111215720
101332000131202
11473997392414
12196198195316
13987b7981510
144867d4c44a6
15249ad43a81c
hex13621650882

1332000131202 has 96 divisors (see below), whose sum is σ = 3193437632112. Its totient is φ = 398589714432.

The previous prime is 1332000131183. The next prime is 1332000131221. The reversal of 1332000131202 is 2021310002331.

1332000131202 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 0 + 131 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (1332000131183) and next prime (1332000131221).

It can be written as a sum of positive squares in 8 ways, for example, as 288249798321 + 1043750332881 = 536889^2 + 1021641^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19853938 + ... + 19920914.

Almost surely, 21332000131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332000131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596718816056).

1332000131202 is an abundant number, since it is smaller than the sum of its proper divisors (1861437500910).

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

1332000131202 is a wasteful number, since it uses less digits than its factorization.

1332000131202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69332 (or 69329 counting only the distinct ones).

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

Adding to 1332000131202 its reverse (2021310002331), we get a palindrome (3353310133533).

The spelling of 1332000131202 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2297 2886 4329 4594 6891 8658 13782 20673 29861 41346 59722 66977 84989 89583 133954 169978 179166 200931 254967 268749 401862 509934 537498 602793 764901 870701 1104857 1205586 1529802 1741402 2209714 2478149 2612103 3314571 4956298 5224206 6629142 7434447 7836309 9943713 14868894 15672618 19887426 22303341 32215937 44606682 64431874 96647811 153846169 193295622 289943433 307692338 461538507 579886866 923077014 1384615521 2000000197 2769231042 4000000394 5692308253 6000000591 11384616506 12000001182 17076924759 18000001773 34153849518 36000003546 51230774277 74000007289 102461548554 148000014578 222000021867 444000043734 666000065601 1332000131202