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201124412032 = 276737096323
BaseRepresentation
bin1011101101001111110…
…0101111101010000000
3201020010201001201211111
42323103330233222000
511243400322141112
6232221214053104
720350023203125
oct2732374575200
9636121051744
10201124412032
117832953a645
1232b901aa194
1315c7326953b
149a3d57674c
15537202d5a7
hex2ed3f2fa80

201124412032 has 64 divisors (see below), whose sum is σ = 406831773600. Its totient is φ = 99018906624.

The previous prime is 201124411991. The next prime is 201124412051. The reversal of 201124412032 is 230214421102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 201124411994 and 201124412012.

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, 31805223 + ... + 31811545.

Almost surely, 2201124412032 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 201124412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203415886800).

201124412032 is an abundant number, since it is smaller than the sum of its proper divisors (205707361568).

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

201124412032 is an equidigital number, since it uses as much as digits as its factorization.

201124412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201124412032 its reverse (230214421102), we get a palindrome (431338833134).

The spelling of 201124412032 in words is "two hundred one billion, one hundred twenty-four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 3709 4288 6323 7418 8576 12646 14836 25292 29672 50584 59344 101168 118688 202336 237376 248503 404672 423641 474752 497006 809344 847282 994012 1694564 1988024 3389128 3976048 6778256 7952096 13556512 15904192 23452007 27113024 31808384 46904014 54226048 93808028 187616056 375232112 750464224 1500928448 1571284469 3001856896 3142568938 6285137876 12570275752 25140551504 50281103008 100562206016 201124412032