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21121450440 = 2335176012087
BaseRepresentation
bin10011101010111011…
…111100000111001000
32000111222201212001020
4103222323330013020
5321224042403230
613411505552440
71345260236466
oct235273740710
960458655036
1021121450440
118a59565372
124115645720
131cb7b28c8c
141045209836
1583943c810
hex4eaefc1c8

21121450440 has 32 divisors (see below), whose sum is σ = 63364351680. Its totient is φ = 5632386752.

The previous prime is 21121450429. The next prime is 21121450447. The reversal of 21121450440 is 4405412112.

It is a super-2 number, since 2×211214504402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21121450440.

It is not an unprimeable number, because it can be changed into a prime (21121450447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88005924 + ... + 88006163.

It is an arithmetic number, because the mean of its divisors is an integer number (1980135990).

Almost surely, 221121450440 is an apocalyptic number.

21121450440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121450440 is an abundant number, since it is smaller than the sum of its proper divisors (42242901240).

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

21121450440 is a wasteful number, since it uses less digits than its factorization.

21121450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176012101 (or 176012097 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 21121450440 its reverse (4405412112), we get a palindrome (25526862552).

The spelling of 21121450440 in words is "twenty-one billion, one hundred twenty-one million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 176012087 352024174 528036261 704048348 880060435 1056072522 1408096696 1760120870 2112145044 2640181305 3520241740 4224290088 5280362610 7040483480 10560725220 21121450440