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21132443000 = 2353592511427
BaseRepresentation
bin10011101011100101…
…110111110101111000
32000112202102100000002
4103223211313311320
5321234401134000
613412541332132
71345452541664
oct235345676570
960482370002
1021132443000
118a64793229
124119267048
131cba1a7556
14104686b8a4
1583a3ae8d5
hex4eb977d78

21132443000 has 128 divisors (see below), whose sum is σ = 50523782400. Its totient is φ = 8270800000.

The previous prime is 21132442973. The next prime is 21132443023. The reversal of 21132443000 is 34423112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14808287 + ... + 14809713.

It is an arithmetic number, because the mean of its divisors is an integer number (394717050).

Almost surely, 221132443000 is an apocalyptic number.

21132443000 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 21132443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261891200).

21132443000 is an abundant number, since it is smaller than the sum of its proper divisors (29391339400).

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

21132443000 is a wasteful number, since it uses less digits than its factorization.

21132443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21132443000 its reverse (34423112), we get a palindrome (21166866112).

The spelling of 21132443000 in words is "twenty-one billion, one hundred thirty-two million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 251 295 472 500 502 590 1000 1004 1180 1255 1427 1475 2008 2360 2510 2854 2950 5020 5708 5900 6275 7135 7375 10040 11416 11800 12550 14270 14750 14809 25100 28540 29500 29618 31375 35675 50200 57080 59000 59236 62750 71350 74045 84193 118472 125500 142700 148090 168386 178375 251000 285400 296180 336772 356750 358177 370225 420965 592360 673544 713500 716354 740450 841930 1427000 1432708 1480900 1683860 1790885 1851125 2104825 2865416 2961800 3367720 3581770 3702250 4209650 7163540 7404500 8419300 8954425 10524125 14327080 14809000 16838600 17908850 21048250 21132443 35817700 42096500 42264886 44772125 71635400 84193000 84529772 89544250 105662215 169059544 179088500 211324430 358177000 422648860 528311075 845297720 1056622150 2113244300 2641555375 4226488600 5283110750 10566221500 21132443000