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11420211012 = 2237414617193
BaseRepresentation
bin10101010001011001…
…01001011101000100
31002110220010211101020
422220230221131010
5141342033223022
65125114431140
7553001122560
oct125054513504
932426124336
1011420211012
114930458621
1222687324b0
1310cccc4412
147a4a166a0
1546c8e635c
hex2a8b29744

11420211012 has 96 divisors (see below), whose sum is σ = 31268692224. Its totient is φ = 3175987200.

The previous prime is 11420211001. The next prime is 11420211017. The reversal of 11420211012 is 21011202411.

It is a junction number, because it is equal to n+sod(n) for n = 11420210982 and 11420211000.

It is not an unprimeable number, because it can be changed into a prime (11420211017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584088 + ... + 1591280.

It is an arithmetic number, because the mean of its divisors is an integer number (325715544).

Almost surely, 211420211012 is an apocalyptic number.

11420211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634346112).

11420211012 is an abundant number, since it is smaller than the sum of its proper divisors (19848481212).

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

11420211012 is a wasteful number, since it uses less digits than its factorization.

11420211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11420211012 its reverse (21011202411), we get a palindrome (32431413423).

The spelling of 11420211012 in words is "eleven billion, four hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 461 492 574 861 922 1148 1383 1722 1844 2766 3227 3444 5532 6454 7193 9681 12908 14386 18901 19362 21579 28772 37802 38724 43158 50351 56703 75604 86316 100702 113406 132307 151053 201404 226812 264614 294913 302106 396921 529228 589826 604212 793842 884739 1179652 1587684 1769478 2064391 3315973 3538956 4128782 6193173 6631946 8257564 9947919 12386346 13263892 19895838 23211811 24772692 39791676 46423622 69635433 92847244 135954893 139270866 271909786 278541732 407864679 543819572 815729358 951684251 1631458716 1903368502 2855052753 3806737004 5710105506 11420211012