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1111000210012 = 2271131768115149
BaseRepresentation
bin10000001010101100110…
…001011101101001011100
310221012200111220100001101
4100022230301131221130
5121200312023210022
62210215250122444
7143160422653450
oct20125461355134
93835614810041
101111000210012
11399199722650
1215b39b880424
13809c7a77394
143bab63d0660
151dd76582627
hex102acc5da5c

1111000210012 has 96 divisors (see below), whose sum is σ = 2502684979200. Its totient is φ = 418811904000.

The previous prime is 1111000209973. The next prime is 1111000210039. The reversal of 1111000210012 is 2100120001111.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 73330614 + ... + 73345762.

It is an arithmetic number, because the mean of its divisors is an integer number (26069635200).

Almost surely, 21111000210012 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 1111000210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251342489600).

1111000210012 is an abundant number, since it is smaller than the sum of its proper divisors (1391684769188).

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

1111000210012 is a wasteful number, since it uses less digits than its factorization.

1111000210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22883 (or 22881 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111000210012 its reverse (2100120001111), we get a palindrome (3211120211123).

The spelling of 1111000210012 in words is "one trillion, one hundred eleven billion, two hundred ten thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 7681 9548 15149 15362 30298 30724 53767 60596 84491 106043 107534 166639 168982 212086 215068 238111 333278 337964 424172 469619 476222 591437 666556 939238 952444 1166473 1182874 1666777 1878476 2332946 2365748 2619221 3287333 3333554 4665892 5165809 5238442 6574666 6667108 10331618 10476884 13149332 18334547 20663236 36160663 36669094 72321326 73338188 116359469 144642652 232718938 465437876 814516283 1279954159 1629032566 2559908318 3258065132 3607143539 5119816636 7214287078 8959679113 14428574156 17919358226 25250004773 35838716452 39678578929 50500009546 79357157858 101000019092 158714315716 277750052503 555500105006 1111000210012