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2313221130 = 2325112375741
BaseRepresentation
bin1000100111100000…
…1111010000001010
312222012201210211200
42021320033100022
514214141034010
61021312205030
7111216024633
oct21170172012
95865653750
102313221130
11a87831300
12546839776
132ab323bcc
1417d31088a
15d8133cc0
hex89e0f40a

2313221130 has 144 divisors (see below), whose sum is σ = 6790695912. Its totient is φ = 545529600.

The previous prime is 2313221129. The next prime is 2313221149. The reversal of 2313221130 is 311223132.

2313221130 is a `hidden beast` number, since 2 + 313 + 221 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2186591121 + 126630009 = 46761^2 + 11253^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400060 + ... + 405800.

Almost surely, 22313221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395347956).

2313221130 is an abundant number, since it is smaller than the sum of its proper divisors (4477474782).

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

2313221130 is a wasteful number, since it uses less digits than its factorization.

2313221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5799 counting only the distinct ones).

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

The square root of 2313221130 is about 48095.9575224363. The cubic root of 2313221130 is about 1322.5305622443.

Adding to 2313221130 its reverse (311223132), we get a palindrome (2624444262).

The spelling of 2313221130 in words is "two billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 121 165 185 198 222 242 330 333 363 370 407 495 555 605 666 726 814 990 1089 1110 1210 1221 1665 1815 2035 2178 2442 3330 3630 3663 4070 4477 5445 5741 6105 7326 8954 10890 11482 12210 13431 17223 18315 22385 26862 28705 34446 36630 40293 44770 51669 57410 63151 67155 80586 86115 103338 126302 134310 172230 189453 201465 212417 258345 315755 378906 402930 424834 516690 568359 631510 637251 694661 947265 1062085 1136718 1274502 1389322 1894530 1911753 2083983 2124170 2336587 2841795 3186255 3473305 3823506 4167966 4673174 5683590 6251949 6372510 6946610 7009761 9558765 10419915 11682935 12503898 14019522 19117530 20839830 21029283 23365870 25702457 31259745 35048805 42058566 51404914 62519490 70097610 77107371 105146415 128512285 154214742 210292830 231322113 257024570 385536855 462644226 771073710 1156610565 2313221130