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2131123230 = 2335171014597
BaseRepresentation
bin111111100000110…
…0101110000011110
312111112002021111000
41333001211300132
513331031420410
6551245211130
7103545151155
oct17701456036
95445067430
102131123230
119a3a66475
124b5860aa6
1327c697182
1416306c59c
15c7163dc0
hex7f065c1e

2131123230 has 128 divisors (see below), whose sum is σ = 6078188160. Its totient is φ = 529459200.

The previous prime is 2131123229. The next prime is 2131123231. The reversal of 2131123230 is 323211312.

It is an interprime number because it is at equal distance from previous prime (2131123229) and next prime (2131123231).

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 (2131123231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461292 + ... + 465888.

It is an arithmetic number, because the mean of its divisors is an integer number (47485845).

Almost surely, 22131123230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039094080).

2131123230 is an abundant number, since it is smaller than the sum of its proper divisors (3947064930).

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

2131123230 is a wasteful number, since it uses less digits than its factorization.

2131123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4725 counting only the distinct ones).

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

The square root of 2131123230 is about 46164.0902650534. The cubic root of 2131123230 is about 1286.8744776815.

Adding to 2131123230 its reverse (323211312), we get a palindrome (2454334542).

The spelling of 2131123230 in words is "two billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 101 102 135 153 170 202 255 270 303 306 459 505 510 606 765 909 918 1010 1515 1530 1717 1818 2295 2727 3030 3434 4545 4590 4597 5151 5454 8585 9090 9194 10302 13635 13791 15453 17170 22985 25755 27270 27582 30906 41373 45970 46359 51510 68955 77265 78149 82746 92718 124119 137910 154530 156298 206865 231795 234447 248238 390745 413730 463590 464297 468894 620595 703341 781490 928594 1172235 1241190 1392891 1406682 2110023 2321485 2344470 2785782 3516705 4178673 4220046 4642970 6964455 7033410 7893049 8357346 10550115 12536019 13928910 15786098 20893365 21100230 23679147 25072038 39465245 41786730 47358294 62680095 71037441 78930490 118395735 125360190 142074882 213112323 236791470 355187205 426224646 710374410 1065561615 2131123230