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200100111012 = 223229263728771
BaseRepresentation
bin1011101001011011100…
…1010110001010100100
3201010111022122211222200
42322112321112022210
511234301112023022
6231531423454500
720312444610564
oct2722671261244
9633438584880
10200100111012
117795332907a
1232945157430
1315b3bca1369
149983500da4
15531214bbac
hex2e96e562a4

200100111012 has 72 divisors (see below), whose sum is σ = 525240555840. Its totient is φ = 64155080640.

The previous prime is 200100110981. The next prime is 200100111023. The reversal of 200100111012 is 210111001002.

It is a happy number.

200100111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200100110985 and 200100111003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89814 + ... + 638957.

It is an arithmetic number, because the mean of its divisors is an integer number (7295007720).

Almost surely, 2200100111012 is an apocalyptic number.

It is an amenable number.

200100111012 is an abundant number, since it is smaller than the sum of its proper divisors (325140444828).

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

200100111012 is a wasteful number, since it uses less digits than its factorization.

200100111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729073 (or 729068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200100111012 its reverse (210111001002), we get a palindrome (410211112014).

The spelling of 200100111012 in words is "two hundred billion, one hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 263 348 522 526 789 1044 1052 1578 2367 3156 4734 7627 9468 15254 22881 30508 45762 68643 91524 137286 274572 728771 1457542 2186313 2915084 4372626 6558939 8745252 13117878 21134359 26235756 42268718 63403077 84537436 126806154 190209231 191666773 253612308 380418462 383333546 575000319 760836924 766667092 1150000638 1725000957 2300001276 3450001914 5558336417 6900003828 11116672834 16675009251 22233345668 33350018502 50025027753 66700037004 100050055506 200100111012