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201200200101112 = 231937197883205663
BaseRepresentation
bin101101101111110110010010…
…011101001010110011111000
3222101101112212212212100200011
4231233312102131022303320
5202332431002211213422
61551530032414551304
760244143343665652
oct5557662235126370
9871345785770604
10201200200101112
1159121586751363
121a695b43b08534
138836136167bc4
1437981da9596d2
15183da2b604077
hexb6fd9274acf8

201200200101112 has 128 divisors (see below), whose sum is σ = 410374706227200. Its totient is φ = 92153897676288.

The previous prime is 201200200101067. The next prime is 201200200101179. The reversal of 201200200101112 is 211101002002102.

It is a junction number, because it is equal to n+sod(n) for n = 201200200101092 and 201200200101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978197593 + ... + 978403255.

It is an arithmetic number, because the mean of its divisors is an integer number (3206052392400).

Almost surely, 2201200200101112 is an apocalyptic number.

It is an amenable number.

201200200101112 is an abundant number, since it is smaller than the sum of its proper divisors (209174506126088).

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

201200200101112 is a wasteful number, since it uses less digits than its factorization.

201200200101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206805 (or 206801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201200200101112 its reverse (211101002002102), we get a palindrome (412301202103214).

The spelling of 201200200101112 in words is "two hundred one trillion, two hundred billion, two hundred million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 19 37 38 74 76 148 152 197 296 394 703 788 883 1406 1576 1766 2812 3532 3743 5624 7064 7289 7486 14578 14972 16777 29156 29944 32671 33554 58312 65342 67108 130684 134216 138491 173951 205663 261368 276982 347902 411326 553964 620749 695804 822652 1107928 1241498 1391608 1645304 2482996 3305069 3907597 4965992 6436187 6610138 7609531 7815194 12872374 13220276 15219062 15630388 25744748 26440552 30438124 31260776 40515611 51489496 60876248 81031222 122287553 144581089 162062444 181600429 244575106 289162178 324124888 363200858 489150212 578324356 726401716 769796609 978300424 1156648712 1452803432 1499077607 1539593218 2998155214 3079186436 3450408151 5996310428 6158372872 6719215873 6900816302 11992620856 13438431746 13801632604 26876863492 27603265208 28482474533 35775284513 53753726984 56964949066 71550569026 113929898132 127665101587 143101138052 227859796264 255330203174 286202276104 510660406348 679730405747 1021320812696 1323685526981 1359460811494 2647371053962 2718921622988 5294742107924 5437843245976 10589484215848 25150025012639 50300050025278 100600100050556 201200200101112