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200022212011110 = 235193711718099249
BaseRepresentation
bin101101011110101101001100…
…111001001110010001100110
3222020012221021212110010121120
4231132231030321032101212
5202204130442233323420
61545224534033554410
760063061610304426
oct5536551471162146
9866187255403546
10200022212011110
1158807a42126025
121a52578a115a06
13877c024012218
1437571ab9d2486
15181d0840ead40
hexb5eb4ce4e466

200022212011110 has 128 divisors (see below), whose sum is σ = 519419805120000. Its totient is φ = 49124206909440.

The previous prime is 200022212011081. The next prime is 200022212011117. The reversal of 200022212011110 is 11110212220002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200022212011110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022212011117) 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, 20646766 + ... + 28746014.

It is an arithmetic number, because the mean of its divisors is an integer number (4057967227500).

Almost surely, 2200022212011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200022212011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259709902560000).

200022212011110 is an abundant number, since it is smaller than the sum of its proper divisors (319397593108890).

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

200022212011110 is a wasteful number, since it uses less digits than its factorization.

200022212011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100486.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200022212011110 its reverse (11110212220002), we get a palindrome (211132424231112).

The spelling of 200022212011110 in words is "two hundred trillion, twenty-two billion, two hundred twelve million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1171 1406 2109 2342 3513 3515 4218 5855 7026 7030 10545 11710 17565 21090 22249 35130 43327 44498 66747 86654 111245 129981 133494 216635 222490 259962 333735 433270 649905 667470 823213 1299810 1646426 2469639 4116065 4939278 8099249 8232130 12348195 16198498 24297747 24696390 40496245 48595494 80992490 121488735 153885731 242977470 299672213 307771462 461657193 599344426 769428655 899016639 923314386 1498361065 1538857310 1798033278 2308285965 2996722130 4495083195 4616571930 5693772047 8990166390 9484220579 11387544094 17081316141 18968441158 28452661737 28468860235 34162632282 47421102895 56905323474 56937720470 85406580705 94842205790 142263308685 170813161410 180200191001 284526617370 350916161423 360400382002 540600573003 701832322846 901000955005 1052748484269 1081201146006 1754580807115 1802001910010 2105496968538 2703002865015 3509161614230 5263742421345 5406005730030 6667407067037 10527484842690 13334814134074 20002221201111 33337035335185 40004442402222 66674070670370 100011106005555 200022212011110