Search a number
-
+
201021211211212 = 227289107151713239
BaseRepresentation
bin101101101101001111100101…
…111000101111010111001100
3222100202102212211200122201201
4231231033211320233113030
5202322012420032224322
61551311511453515244
760225206003351500
oct5555174570572714
9870672784618651
10201021211211212
1159062687131167
121a667310aa2b24
1388222acb50772
14378d69b160300
151839052a73d27
hexb6d3e5e2f5cc

201021211211212 has 144 divisors (see below), whose sum is σ = 420453952934400. Its totient is φ = 83828859206400.

The previous prime is 201021211211153. The next prime is 201021211211251. The reversal of 201021211211212 is 212112112120102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201021211211212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281486089 + ... + 282199327.

It is an arithmetic number, because the mean of its divisors is an integer number (2919819117600).

Almost surely, 2201021211211212 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 201021211211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210226976467200).

201021211211212 is an abundant number, since it is smaller than the sum of its proper divisors (219432741723188).

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

201021211211212 is a wasteful number, since it uses less digits than its factorization.

201021211211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713604 (or 713595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201021211211212 its reverse (212112112120102), we get a palindrome (413133323331314).

The spelling of 201021211211212 in words is "two hundred one trillion, twenty-one billion, two hundred eleven million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 89 98 107 151 178 196 214 302 356 428 604 623 749 1057 1246 1498 2114 2492 2996 4228 4361 5243 7399 8722 9523 10486 13439 14798 16157 17444 19046 20972 26878 29596 32314 38092 53756 64628 66661 94073 113099 133322 188146 226198 266644 376292 452396 466627 658511 713239 791693 933254 1317022 1426478 1437973 1583386 1866508 2634044 2852956 2875946 3166772 4992673 5751892 9985346 10065811 19970692 20131622 34948711 40263244 63478271 69897422 70460677 76316573 107699089 126956542 139794844 140921354 152633146 215398178 253913084 281842708 305266292 430796356 444347897 534216011 753893623 888695794 1068432022 1507787246 1777391588 2136864044 3015574492 3110435279 3739512077 5277255361 6220870558 6792174997 7479024154 9585218921 10554510722 11523802523 12441741116 13584349994 14958048308 19170437842 21109021444 23047605046 27168699988 38340875684 46095210092 47545224979 67096532447 80666617661 95090449958 134193064894 161333235322 190180899916 268386129788 322666470644 332816574853 469675727129 564666323627 665633149706 939351454258 1025618424547 1129332647254 1331266299412 1878702908516 2051236849094 2258665294508 4102473698188 7179328971829 14358657943658 28717315887316 50255302802803 100510605605606 201021211211212