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2000110110012 = 2232753376939733
BaseRepresentation
bin11101000110101111110…
…110100100010100111100
321002012122010001000111200
4131012233312210110330
5230232211142010022
64130500553015500
7264334410265350
oct35065766442474
97065563030450
102000110110012
117012730180a3
122837749b4590
131167c0307821
146cb3d353460
15370629ccbac
hex1d1afda453c

2000110110012 has 144 divisors (see below), whose sum is σ = 5888826740160. Its totient is φ = 560514898944.

The previous prime is 2000110109969. The next prime is 2000110110023. The reversal of 2000110110012 is 2100110110002.

It is a happy number.

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 = 2000110109976 and 2000110110003.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50318898 + ... + 50358630.

It is an arithmetic number, because the mean of its divisors is an integer number (40894630140).

Almost surely, 22000110110012 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 2000110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944413370080).

2000110110012 is an abundant number, since it is smaller than the sum of its proper divisors (3888716630148).

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

2000110110012 is a wasteful number, since it uses less digits than its factorization.

2000110110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43572 (or 43567 counting only the distinct ones).

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

Adding to 2000110110012 its reverse (2100110110002), we get a palindrome (4100220220014).

The spelling of 2000110110012 in words is "two trillion, one hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 3769 4452 6678 7538 11307 13356 15076 22614 26383 33921 39733 45228 52766 67842 79149 79466 105532 119199 135684 158298 158932 199757 237447 238398 278131 316596 357597 399514 474894 476796 556262 599271 715194 799028 834393 949788 1112524 1198542 1398299 1430388 1668786 1797813 2105849 2397084 2503179 2796598 3337572 3595626 4194897 4211698 5006358 5593196 6317547 7191252 8389794 8423396 10012716 12584691 12635094 14740943 16779588 18952641 25169382 25270188 29481886 37905282 44222829 50338764 58963772 75810564 88445658 132668487 149753677 176891316 265336974 299507354 449261031 530673948 599014708 898522062 1048275739 1347783093 1797044124 2096551478 2695566186 3144827217 4193102956 5391132372 6289654434 7936944881 9434481651 12579308868 15873889762 18868963302 23810834643 31747779524 37737926604 47621669286 55558614167 71432503929 95243338572 111117228334 142865007858 166675842501 222234456668 285730015716 333351685002 500027527503 666703370004 1000055055006 2000110110012