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2001111211110 = 23511191479721569
BaseRepresentation
bin11101000111101011100…
…001011101110001100110
321002022012212210020001010
4131013223201131301212
5230241233432223420
64131144154043050
7264401254433424
oct35075341356146
97068185706033
102001111211110
11701737123180
122839b4119486
1311691c83bc3b
146cbd62aa114
15370c082a4e0
hex1d1eb85dc66

2001111211110 has 128 divisors (see below), whose sum is σ = 5515652620800. Its totient is φ = 459532984320.

The previous prime is 2001111211097. The next prime is 2001111211147. The reversal of 2001111211110 is 111121111002.

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 63 ways as a sum of consecutive naturals, for example, 92766406 + ... + 92787974.

It is an arithmetic number, because the mean of its divisors is an integer number (43091036100).

Almost surely, 22001111211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001111211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757826310400).

2001111211110 is an abundant number, since it is smaller than the sum of its proper divisors (3514541409690).

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

2001111211110 is a wasteful number, since it uses less digits than its factorization.

2001111211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36406.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2001111211110 its reverse (111121111002), we get a palindrome (2112232322112).

The spelling of 2001111211110 in words is "two trillion, one billion, one hundred eleven million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 14797 21569 29594 43138 44391 64707 73985 88782 107845 129414 147970 162767 215690 221955 237259 281143 323535 325534 409811 443910 474518 488301 562286 647070 711777 813835 819622 843429 976602 1186295 1229433 1405715 1423554 1627670 1686858 2049055 2372590 2441505 2458866 2811430 3092573 3558885 4098110 4217145 4507921 4883010 6147165 6185146 7117770 8434290 9015842 9277719 12294330 13523763 15462865 18555438 22539605 27047526 30925730 45079210 46388595 67618815 92777190 135237630 319156493 638312986 957469479 1595782465 1914938958 3191564930 3510721423 4787347395 6063973367 7021442846 9574694790 10532164269 12127946734 17553607115 18191920101 21064328538 30319866835 35107214230 36383840202 52660821345 60639733670 66703707037 90959600505 105321642690 133407414074 181919201010 200111121111 333518535185 400222242222 667037070370 1000555605555 2001111211110