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2111211102012 = 2232329386368281
BaseRepresentation
bin11110101110001101111…
…111001101111100111100
321110211101221011011222020
4132232031333031330330
5234042230020231022
64253513232520140
7305346531163125
oct36561577157474
97424357134866
102111211102012
117443a569a851
122a12003b0050
13124117941a8c
147427c85304c
1539db65a535c
hex1eb8dfcdf3c

2111211102012 has 96 divisors (see below), whose sum is σ = 5319047623680. Its totient is φ = 649750295040.

The previous prime is 2111211101999. The next prime is 2111211102043. The reversal of 2111211102012 is 2102011121112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2111211101982 and 2111211102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30885312 + ... + 30953592.

It is an arithmetic number, because the mean of its divisors is an integer number (55406746080).

Almost surely, 22111211102012 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 2111211102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659523811840).

2111211102012 is an abundant number, since it is smaller than the sum of its proper divisors (3207836521668).

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

2111211102012 is a wasteful number, since it uses less digits than its factorization.

2111211102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72203 (or 72201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111211102012 its reverse (2102011121112), we get a palindrome (4213222223124).

The spelling of 2111211102012 in words is "two trillion, one hundred eleven billion, two hundred eleven million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 3863 4002 7726 8004 11589 15452 23178 46356 68281 88849 112027 136562 177698 204843 224054 266547 273124 336081 355396 409686 448108 533094 672162 819372 1066188 1344324 1570463 1980149 2576621 3140926 3960298 4711389 5153242 5940447 6281852 7729863 7920596 9422778 10306484 11880894 15459726 18845556 23761788 30919452 45543427 91086854 136630281 182173708 263769503 273260562 527539006 546521124 791308509 1055078012 1582617018 3165234036 6066698569 7649315587 12133397138 15298631174 18200095707 22947946761 24266794276 30597262348 36400191414 45895893522 72800382828 91791787044 175934258501 351868517002 527802775503 703737034004 1055605551006 2111211102012