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200202023000130 = 235372834391451759
BaseRepresentation
bin101101100001010100101010…
…011101101101100001000010
3222020212010102012112210112120
4231201110222131231201002
5202220102220342001010
61545443312323305110
760112055522426214
oct5541245235554102
9866763365483476
10200202023000130
1158877223800488
121a5545b051b196
138792c7b749248
143761b8866a5b4
151822aa9e1ae70
hexb6152a76d842

200202023000130 has 128 divisors (see below), whose sum is σ = 496343039385600. Its totient is φ = 51642818244864.

The previous prime is 200202023000101. The next prime is 200202023000137. The reversal of 200202023000130 is 31000320202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200202023000137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137177191 + ... + 138628949.

It is an arithmetic number, because the mean of its divisors is an integer number (3877679995200).

Almost surely, 2200202023000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200202023000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248171519692800).

200202023000130 is an abundant number, since it is smaller than the sum of its proper divisors (296141016385470).

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

200202023000130 is a wasteful number, since it uses less digits than its factorization.

200202023000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452528.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200202023000130 its reverse (31000320202002), we get a palindrome (231202343202132).

The spelling of 200202023000130 in words is "two hundred trillion, two hundred two billion, twenty-three million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 283 370 439 555 566 849 878 1110 1317 1415 1698 2195 2634 2830 4245 4390 6585 8490 10471 13170 16243 20942 31413 32486 48729 52355 62826 81215 97458 104710 124237 157065 162430 243645 248474 314130 372711 487290 621185 745422 1242370 1451759 1863555 2903518 3727110 4355277 4596769 7258795 8710554 9193538 13790307 14517590 21776385 22983845 27580614 43552770 45967690 53715083 68951535 107430166 137903070 161145249 268575415 322290498 410847797 537150830 637322201 805726245 821695594 1232543391 1274644402 1611452490 1911966603 2054238985 2465086782 3186611005 3823933206 4108477970 6162716955 6373222010 9559833015 12325433910 15201368489 19119666030 23580921437 30402736978 45604105467 47161842874 70742764311 76006842445 91208210934 117904607185 141485528622 152013684890 180362182883 228020527335 235809214370 353713821555 360724365766 456041054670 541086548649 707427643110 901810914415 1082173097298 1803621828830 2705432743245 5410865486490 6673400766671 13346801533342 20020202300013 33367003833355 40040404600026 66734007666710 100101011500065 200202023000130