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201012221021000 = 23531759114276419
BaseRepresentation
bin101101101101000111001110…
…000001111000101101001000
3222100201120200022001200012212
4231231013032001320231020
5202321341012040133000
61551303423422524252
760224440140115424
oct5555071601705510
9870646608050185
10201012221021000
11590598934301a4
121a665622136688
1388214a942659c
14378d08717db84
151838bc8683c35
hexb6d1ce078b48

201012221021000 has 64 divisors (see below), whose sum is σ = 470636008128000. Its totient is φ = 80359177137600.

The previous prime is 201012221020999. The next prime is 201012221021039. The reversal of 201012221021000 is 120122210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55379210 + ... + 58897209.

It is an arithmetic number, because the mean of its divisors is an integer number (7353687627000).

Almost surely, 2201012221021000 is an apocalyptic number.

201012221021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012221021000 is an abundant number, since it is smaller than the sum of its proper divisors (269623787107000).

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

201012221021000 is a wasteful number, since it uses less digits than its factorization.

201012221021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114278199 (or 114278185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012221021000 its reverse (120122210102), we get a palindrome (201132343231102).

The spelling of 201012221021000 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1759 3518 7036 8795 14072 17590 35180 43975 70360 87950 175900 219875 351800 439750 879500 1759000 114276419 228552838 457105676 571382095 914211352 1142764190 2285528380 2856910475 4571056760 5713820950 11427641900 14284552375 22855283800 28569104750 57138209500 114276419000 201012221021 402024442042 804048884084 1005061105105 1608097768168 2010122210210 4020244420420 5025305525525 8040488840840 10050611051050 20101222102100 25126527627625 40202444204200 50253055255250 100506110510500 201012221021000