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201022310203312 = 241319283311577937
BaseRepresentation
bin101101101101010000100111…
…011001000011111110110000
3222100202112201102122020110211
4231231100213121003332300
5202322022142403001222
61551312212513033504
760225245146546213
oct5555204731037660
9870675642566424
10201022310203312
11590630a05181a4
121a667578b55894
13882242673a750
14378d7630b977a
1518390b92ab277
hexb6d427643fb0

201022310203312 has 160 divisors (see below), whose sum is σ = 444502195038720. Its totient is φ = 87304029327360.

The previous prime is 201022310203291. The next prime is 201022310203333. The reversal of 201022310203312 is 213302013220102.

It is an interprime number because it is at equal distance from previous prime (201022310203291) and next prime (201022310203333).

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, 347538408 + ... + 348116344.

It is an arithmetic number, because the mean of its divisors is an integer number (2778138718992).

Almost surely, 2201022310203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022310203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222251097519360).

201022310203312 is an abundant number, since it is smaller than the sum of its proper divisors (243479884835408).

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

201022310203312 is a wasteful number, since it uses less digits than its factorization.

201022310203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578571 (or 578565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201022310203312 its reverse (213302013220102), we get a palindrome (414324323423414).

The spelling of 201022310203312 in words is "two hundred one trillion, twenty-two billion, three hundred ten million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 283 304 311 494 566 622 988 1132 1244 1976 2264 2488 3679 3952 4043 4528 4976 5377 5909 7358 8086 10754 11818 14716 16172 21508 23636 29432 32344 43016 47272 58864 64688 69901 76817 86032 88013 94544 139802 153634 176026 279604 307268 352052 559208 577937 614536 704104 1118416 1144169 1155874 1229072 1408208 1672247 2288338 2311748 3344494 4576676 4623496 6688988 7513181 9153352 9246992 10980803 13377976 15026362 18306704 21739211 21961606 26755952 30052724 43478422 43923212 60105448 86956844 87846424 120210896 142750439 163556171 173913688 175692848 179738407 285500878 327112342 347827376 359476814 571001756 654224684 718953628 1142003512 1308449368 1437907256 2126230223 2284007024 2336599291 2616898736 2875814512 3107567249 3415029733 4252460446 4673198582 6215134498 6830059466 8504920892 9346397164 12430268996 13660118932 17009841784 18692794328 24860537992 27320237864 34019683568 37385588656 40398374237 44395386529 49721075984 50865969181 54640475728 80796748474 88790773058 101731938362 161593496948 177581546116 203463876724 323186993896 355163092232 406927753448 646373987792 661257599353 710326184464 813855506896 966453414439 1322515198706 1932906828878 2645030397412 3865813657756 5290060794824 7731627315512 10580121589648 12563894387707 15463254631024 25127788775414 50255577550828 100511155101656 201022310203312