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20001110112 = 2533127182279
BaseRepresentation
bin10010101000001010…
…001011100001100000
31220121220121200001000
4102220022023201200
5311430241010422
613104405112000
71305434426244
oct225012134140
956556550030
1020001110112
118534118075
123a623b8600
131b699a5cc9
14d7a4d4424
157c0dd9cac
hex4a828b860

20001110112 has 96 divisors (see below), whose sum is σ = 58796236800. Its totient is φ = 6614504064.

The previous prime is 20001110099. The next prime is 20001110117. The reversal of 20001110112 is 21101110002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 20001110094 and 20001110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18589 + ... + 200867.

It is an arithmetic number, because the mean of its divisors is an integer number (612460800).

Almost surely, 220001110112 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 20001110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

20001110112 is an abundant number, since it is smaller than the sum of its proper divisors (38795126688).

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

20001110112 is a wasteful number, since it uses less digits than its factorization.

20001110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182425 (or 182411 counting only the distinct ones).

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

Adding to 20001110112 its reverse (21101110002), we get a palindrome (41102220114).

The spelling of 20001110112 in words is "twenty billion, one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 6096 6858 9144 12192 13716 18288 27432 36576 54864 109728 182279 364558 546837 729116 1093674 1458232 1640511 2187348 2916464 3281022 4374696 4921533 5832928 6562044 8749392 9843066 13124088 17498784 19686132 23149433 26248176 39372264 46298866 52496352 69448299 78744528 92597732 138896598 157489056 185195464 208344897 277793196 370390928 416689794 555586392 625034691 740781856 833379588 1111172784 1250069382 1666759176 2222345568 2500138764 3333518352 5000277528 6667036704 10000555056 20001110112