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21523132000 = 255331317191
BaseRepresentation
bin10100000010111000…
…001110111001100000
32001112222120101120001
4110002320032321200
5323034410211000
613515415225344
71361235413656
oct240270167140
961488511501
1021523132000
1191452796a7
124208078254
132050108a86
1410826cadd6
1585e83446a
hex502e0ee60

21523132000 has 96 divisors (see below), whose sum is σ = 53054374464. Its totient is φ = 8581248000.

The previous prime is 21523131997. The next prime is 21523132021. The reversal of 21523132000 is 23132512.

It is a super-2 number, since 2×215231320002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243405 + ... + 1260595.

It is an arithmetic number, because the mean of its divisors is an integer number (552649734).

Almost surely, 221523132000 is an apocalyptic number.

21523132000 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 21523132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527187232).

21523132000 is an abundant number, since it is smaller than the sum of its proper divisors (31531242464).

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

21523132000 is a wasteful number, since it uses less digits than its factorization.

21523132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17529 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 21523132000 its reverse (23132512), we get a palindrome (21546264512).

The spelling of 21523132000 in words is "twenty-one billion, five hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 626 800 1000 1252 1565 2000 2504 3130 4000 5008 6260 7825 10016 12520 15650 17191 25040 31300 34382 39125 50080 62600 68764 78250 85955 125200 137528 156500 171910 250400 275056 313000 343820 429775 550112 626000 687640 859550 1252000 1375280 1719100 2148875 2750560 3438200 4297750 5380783 6876400 8595500 10761566 13752800 17191000 21523132 26903915 34382000 43046264 53807830 68764000 86092528 107615660 134519575 172185056 215231320 269039150 430462640 538078300 672597875 860925280 1076156600 1345195750 2152313200 2690391500 4304626400 5380783000 10761566000 21523132000