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201021340002 = 23717829339617
BaseRepresentation
bin1011101100110111001…
…1100011100101100010
3201012212112010010120220
42323031303203211202
511243142430340002
6232203052543510
720344332124440
oct2731563434542
9635775103526
10201021340002
117828634004a
1232b61781b96
1315c57abb682
149a2d9c5b90
155367e6d7bc
hex2ecdce3962

201021340002 has 64 divisors (see below), whose sum is σ = 487093720320. Its totient is φ = 53990793216.

The previous prime is 201021339979. The next prime is 201021340027. The reversal of 201021340002 is 200043120102.

201021340002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 422098 + ... + 761714.

It is an arithmetic number, because the mean of its divisors is an integer number (7610839380).

Almost surely, 2201021340002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021340002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243546860160).

201021340002 is an abundant number, since it is smaller than the sum of its proper divisors (286072380318).

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

201021340002 is a wasteful number, since it uses less digits than its factorization.

201021340002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340475.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201021340002 its reverse (200043120102), we get a palindrome (401064460104).

The spelling of 201021340002 in words is "two hundred one billion, twenty-one million, three hundred forty thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 829 1658 2487 4974 5803 11606 14093 17409 28186 34818 42279 84558 98651 197302 295953 339617 591906 679234 1018851 2037702 2377319 4754638 5773489 7131957 11546978 14263914 17320467 34640934 40414423 80828846 121243269 242486538 281542493 563084986 844627479 1689254958 1970797451 3941594902 4786222381 5912392353 9572444762 11824784706 14358667143 28717334286 33503556667 67007113334 100510670001 201021340002