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21132434020 = 22531411018231
BaseRepresentation
bin10011101011100101…
…110101101001100100
32000112202101212200111
4103223211311221210
5321234400342040
613412541222404
71345452503545
oct235345655144
960482355614
1021132434020
118a64787505
124119261a04
131cba1a3439
1410468684cc
1583a3abdea
hex4eb975a64

21132434020 has 96 divisors (see below), whose sum is σ = 47397353472. Its totient is φ = 7900800000.

The previous prime is 21132433943. The next prime is 21132434023. The reversal of 21132434020 is 2043423112.

It is a junction number, because it is equal to n+sod(n) for n = 21132433982 and 21132434000.

It is not an unprimeable number, because it can be changed into a prime (21132434023) 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 31 ways as a sum of consecutive naturals, for example, 2563305 + ... + 2571535.

It is an arithmetic number, because the mean of its divisors is an integer number (493722432).

Almost surely, 221132434020 is an apocalyptic number.

21132434020 is a gapful number since it is divisible by the number (20) 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 21132434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698676736).

21132434020 is an abundant number, since it is smaller than the sum of its proper divisors (26264919452).

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

21132434020 is a wasteful number, since it uses less digits than its factorization.

21132434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21132434020 its reverse (2043423112), we get a palindrome (23175857132).

The spelling of 21132434020 in words is "twenty-one billion, one hundred thirty-two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 101 124 155 164 202 205 310 404 410 505 620 820 1010 1271 2020 2542 3131 4141 5084 6262 6355 8231 8282 12524 12710 15655 16462 16564 20705 25420 31310 32924 41155 41410 62620 82310 82820 128371 164620 255161 256742 337471 510322 513484 641855 674942 831331 1020644 1275805 1283710 1349884 1662662 1687355 2551610 2567420 3325324 3374710 4156655 5103220 6749420 8313310 10461601 16626620 20923202 25771261 34084571 41846404 51542522 52308005 68169142 103085044 104616010 128856305 136338284 170422855 209232020 257712610 340845710 515425220 681691420 1056621701 2113243402 4226486804 5283108505 10566217010 21132434020