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21122101002111 = 353222719875557
BaseRepresentation
bin1001100110101110111110…
…10100111011111101111111
32202210020211112110111201020
410303113133110323331333
510232031030324031421
6112531205332515223
74310010232122624
oct463273724737577
982706745414636
1021122101002111
11680391840002a
122451730a7bb13
13ba2a61b15945
1453045aa7834b
1526967ac66dc6
hex1335df53bf7f

21122101002111 has 48 divisors (see below), whose sum is σ = 28850351505024. Its totient is φ = 13745455281792.

The previous prime is 21122101002097. The next prime is 21122101002137. The reversal of 21122101002111 is 11120010122112.

It is a happy number.

It is not a de Polignac number, because 21122101002111 - 27 = 21122101001983 is a prime.

It is a super-2 number, since 2×211221010021112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122101002181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3800987145 + ... + 3800992701.

It is an arithmetic number, because the mean of its divisors is an integer number (601048989688).

Almost surely, 221122101002111 is an apocalyptic number.

21122101002111 is a deficient number, since it is larger than the sum of its proper divisors (7728250502913).

21122101002111 is a wasteful number, since it uses less digits than its factorization.

21122101002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7827 counting only the distinct ones).

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

Adding to 21122101002111 its reverse (11120010122112), we get a palindrome (32242111124223).

The spelling of 21122101002111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred eleven".

Divisors: 1 3 53 159 227 681 1987 2809 5557 5961 8427 12031 16671 36093 105311 294521 315933 451049 637643 883563 1261439 1353147 1912929 3784317 5581483 11041759 15609613 16744449 23905597 33125277 46828839 66856267 71716791 200568801 585213227 1266996641 1755639681 2506479293 3543382151 3800989923 7519437879 10630146453 31016301031 93048903093 132843402529 398530207587 7040700334037 21122101002111