Search a number
-
+
201332011333312 = 2623314412079491
BaseRepresentation
bin101101110001110001000011…
…000001000111011011000000
3222101212011010000221201210001
4231301301003001013123000
5202342110424400131222
61552110352115045344
760256520632661446
oct5561610301073300
9871764100851701
10201332011333312
1159172476757002
121a6b75ab2a0854
1388456b1363162
1437a07427c2b96
15184219348de27
hexb71c430476c0

201332011333312 has 56 divisors (see below), whose sum is σ = 430336585331712. Its totient is φ = 93183118828800.

The previous prime is 201332011333291. The next prime is 201332011333319. The reversal of 201332011333312 is 213333110233102.

It is a happy number.

It is a super-2 number, since 2×2013320113333122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201332011333319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205994114 + ... + 2206085377.

Almost surely, 2201332011333312 is an apocalyptic number.

It is an amenable number.

201332011333312 is an abundant number, since it is smaller than the sum of its proper divisors (229004573998400).

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

201332011333312 is a wasteful number, since it uses less digits than its factorization.

201332011333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412079557 (or 4412079547 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 201332011333312 its reverse (213333110233102), we get a palindrome (414665121566414).

The spelling of 201332011333312 in words is "two hundred one trillion, three hundred thirty-two billion, eleven million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 45632 4412079491 8824158982 17648317964 35296635928 70593271856 101477828293 136774464221 141186543712 202955656586 273548928442 282373087424 405911313172 547097856884 811822626344 1094195713768 1623645252688 2188391427536 3145812677083 3247290505376 4376782855072 6291625354166 6494581010752 8753565710144 12583250708332 25166501416664 50333002833328 100666005666656 201332011333312