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210512114040 = 23355383939451
BaseRepresentation
bin1100010000001101111…
…1111111000101111000
3202010100221200102000110
43010003133333011320
511422112100122130
6240412525104320
721131454305544
oct3040337770570
9663327612013
10210512114040
1181306667058
12349700b80a0
1316b0b1435b7
14a290270a24
15572128eab0
hex31037ff178

210512114040 has 128 divisors (see below), whose sum is σ = 644235379200. Its totient is φ = 55010342400.

The previous prime is 210512114039. The next prime is 210512114041. The reversal of 210512114040 is 40411215012.

It is an interprime number because it is at equal distance from previous prime (210512114039) and next prime (210512114041).

It is a junction number, because it is equal to n+sod(n) for n = 210512113998 and 210512114016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210512114041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5316315 + ... + 5355765.

It is an arithmetic number, because the mean of its divisors is an integer number (5033088900).

Almost surely, 2210512114040 is an apocalyptic number.

210512114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210512114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322117689600).

210512114040 is an abundant number, since it is smaller than the sum of its proper divisors (433723265160).

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

210512114040 is a wasteful number, since it uses less digits than its factorization.

210512114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40357 (or 40353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 210512114040 its reverse (40411215012), we get a palindrome (250923329052).

The spelling of 210512114040 in words is "two hundred ten billion, five hundred twelve million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 839 1060 1272 1590 1678 2120 2517 3180 3356 4195 5034 6360 6712 8390 10068 12585 16780 20136 25170 33560 39451 44467 50340 78902 88934 100680 118353 133401 157804 177868 197255 222335 236706 266802 315608 355736 394510 444670 473412 533604 591765 667005 789020 889340 946824 1067208 1183530 1334010 1578040 1778680 2090903 2367060 2668020 4181806 4734120 5336040 6272709 8363612 10454515 12545418 16727224 20909030 25090836 31363545 33099389 41818060 50181672 62727090 66198778 83636120 99298167 125454180 132397556 165496945 198596334 250908360 264795112 330993890 397192668 496490835 661987780 794385336 992981670 1323975560 1754267617 1985963340 3508535234 3971926680 5262802851 7017070468 8771338085 10525605702 14034140936 17542676170 21051211404 26314014255 35085352340 42102422808 52628028510 70170704680 105256057020 210512114040