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21111021024 = 2539712717851
BaseRepresentation
bin10011101010010100…
…001001110111100000
32000111021002222120120
4103222110021313200
5321213410133044
613410454240240
71345102501152
oct235224116740
960437088516
1021111021024
118a53691615
124112056080
131cb5916b22
141043a92ad2
1583857c519
hex4ea509de0

21111021024 has 96 divisors (see below), whose sum is σ = 56431742976. Its totient is φ = 6909235200.

The previous prime is 21111021023. The next prime is 21111021031. The reversal of 21111021024 is 42012011112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21111020994 and 21111021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111021023) 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, 1173699 + ... + 1191549.

It is an arithmetic number, because the mean of its divisors is an integer number (587830656).

Almost surely, 221111021024 is an apocalyptic number.

21111021024 is a gapful number since it is divisible by the number (24) 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 21111021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215871488).

21111021024 is an abundant number, since it is smaller than the sum of its proper divisors (35320721952).

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

21111021024 is a wasteful number, since it uses less digits than its factorization.

21111021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088 (or 18080 counting only the distinct ones).

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

Adding to 21111021024 its reverse (42012011112), we get a palindrome (63123032136).

The spelling of 21111021024 in words is "twenty-one billion, one hundred eleven million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 127 194 254 291 381 388 508 582 762 776 1016 1164 1524 1552 2032 2328 3048 3104 4064 4656 6096 9312 12192 12319 17851 24638 35702 36957 49276 53553 71404 73914 98552 107106 142808 147828 197104 214212 285616 295656 394208 428424 571232 591312 856848 1182624 1713696 1731547 2267077 3463094 4534154 5194641 6801231 6926188 9068308 10389282 13602462 13852376 18136616 20778564 27204924 27704752 36273232 41557128 54409848 55409504 72546464 83114256 108819696 166228512 217639392 219906469 439812938 659719407 879625876 1319438814 1759251752 2638877628 3518503504 5277755256 7037007008 10555510512 21111021024