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2031291405 = 3351113432447
BaseRepresentation
bin111100100010011…
…0000110000001101
312020120020021222000
41321010300300031
513130002311110
6533321342513
7101223456243
oct17104606015
95216207860
102031291405
1195267a330
12488337a39
13264ab20a0
14153ac2793
15bd4e41c0
hex79130c0d

2031291405 has 128 divisors (see below), whose sum is σ = 4342947840. Its totient is φ = 887604480.

The previous prime is 2031291401. The next prime is 2031291407. The reversal of 2031291405 is 5041921302.

It is not a de Polignac number, because 2031291405 - 22 = 2031291401 is a prime.

It is a super-2 number, since 2×20312914052 = 8252289544053748050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031291401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 828892 + ... + 831338.

It is an arithmetic number, because the mean of its divisors is an integer number (33929280).

Almost surely, 22031291405 is an apocalyptic number.

It is an amenable number.

2031291405 is an abundant number, since it is smaller than the sum of its proper divisors (2311656435).

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

2031291405 is a wasteful number, since it uses less digits than its factorization.

2031291405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2031291405 is about 45069.8502881916. The cubic root of 2031291405 is about 1266.4578598173.

The spelling of 2031291405 in words is "two billion, thirty-one million, two hundred ninety-one thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 43 45 55 65 99 117 129 135 143 165 195 215 297 351 387 429 473 495 559 585 645 715 1161 1287 1419 1485 1677 1755 1935 2145 2365 2447 2795 3861 4257 5031 5805 6149 6435 7095 7341 8385 12235 12771 15093 18447 19305 21285 22023 25155 26917 30745 31811 36705 55341 63855 66069 75465 80751 92235 95433 105221 110115 134585 159055 166023 242253 276705 286299 315663 330345 349921 403755 477165 526105 726759 830115 858897 946989 1049763 1157431 1211265 1367873 1431495 1578315 1749605 2840967 3149289 3472293 3633795 4103619 4294485 4734945 5248815 5787155 6839365 9447867 10416879 12310857 14204835 15046603 15746445 17361465 20518095 31250637 36932571 45139809 47239335 52084395 61554285 75233015 135419427 156253185 184662855 225699045 406258281 677097135 2031291405