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201332102221312 = 295572693262151
BaseRepresentation
bin101101110001110001001000…
…011011110100111000000000
3222101212011100100222022200021
4231301301020123310320000
5202342111121132040222
61552110405123103224
760256523115343156
oct5561611033647000
9871764310868607
10201332102221312
1159172512a94557
121a6b7615811b14
1388456c713633a
1437a07508c13d6
15184219b443ac7
hexb71c486f4e00

201332102221312 has 80 divisors (see below), whose sum is σ = 403144370224992. Its totient is φ = 100447625420800.

The previous prime is 201332102221301. The next prime is 201332102221321. The reversal of 201332102221312 is 213122201233102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767869437 + ... + 768131587.

Almost surely, 2201332102221312 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 201332102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201572185112496).

201332102221312 is an abundant number, since it is smaller than the sum of its proper divisors (201812268003680).

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

201332102221312 is an equidigital number, since it uses as much as digits as its factorization.

201332102221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265419 (or 265403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 201332102221312 its reverse (213122201233102), we get a palindrome (414454303454414).

The spelling of 201332102221312 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 557 1114 2228 2693 4456 5386 8912 10772 17824 21544 35648 43088 71296 86176 142592 172352 262151 285184 344704 524302 689408 1048604 1378816 1500001 2097208 3000002 4194416 6000004 8388832 12000008 16777664 24000016 33555328 48000032 67110656 96000064 134221312 146018107 192000128 292036214 384000256 584072428 705972643 768000512 1168144856 1411945286 2336289712 2823890572 4672579424 5647781144 9345158848 11295562288 18690317696 22591124576 37380635392 45182249152 74761270784 90364498304 180728996608 361457993216 393226762151 786453524302 1572907048604 3145814097208 6291628194416 12583256388832 25166512777664 50333025555328 100666051110656 201332102221312