Search a number
-
+
200313120110310 = 23355329574733893
BaseRepresentation
bin101101100010111100001000…
…010111100011011011100110
3222021020202011202100202011000
4231202330020113203123212
5202223412232222012220
61550010324344054130
760123100565325504
oct5542741027433346
9867222152322130
10200313120110310
115890a354171719
121a572036764346
1387a05a532466c
1437672c7439674
15182590d4c8390
hexb62f085e36e6

200313120110310 has 128 divisors (see below), whose sum is σ = 544431136613760. Its totient is φ = 52391232511488.

The previous prime is 200313120110303. The next prime is 200313120110353. The reversal of 200313120110310 is 13011021313002.

200313120110310 is a `hidden beast` number, since 2 + 0 + 0 + 31 + 312 + 0 + 1 + 10 + 310 = 666.

It is a super-2 number, since 2×2003131201103102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39947724 + ... + 44681616.

It is an arithmetic number, because the mean of its divisors is an integer number (4253368254795).

Almost surely, 2200313120110310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200313120110310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272215568306880).

200313120110310 is an abundant number, since it is smaller than the sum of its proper divisors (344118016503450).

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

200313120110310 is a wasteful number, since it uses less digits than its factorization.

200313120110310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736919 (or 4736913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200313120110310 its reverse (13011021313002), we get a palindrome (213324141423312).

The spelling of 200313120110310 in words is "two hundred trillion, three hundred thirteen billion, one hundred twenty million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 2957 4770 5914 7155 8871 14310 14785 17742 26613 29570 44355 53226 79839 88710 133065 156721 159678 266130 313442 399195 470163 783605 798390 940326 1410489 1567210 2350815 2820978 4231467 4701630 4733893 7052445 8462934 9467786 14104890 14201679 21157335 23669465 28403358 42314670 42605037 47338930 71008395 85210074 127815111 142016790 213025185 250896329 255630222 426050370 501792658 639075555 752688987 1254481645 1278151110 1505377974 2258066961 2508963290 3763444935 4516133922 6774200883 7526889870 11290334805 13548401766 13998121601 22580669610 27996243202 33871004415 41994364803 67742008830 69990608005 83988729606 125983094409 139981216010 209971824015 251966188818 377949283227 419943648030 629915472045 741900444853 755898566454 1259830944090 1483800889706 1889746416135 2225701334559 3709502224265 3779492832270 4451402669118 6677104003677 7419004448530 11128506672795 13354208007354 20031312011031 22257013345590 33385520018385 40062624022062 66771040036770 100156560055155 200313120110310