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21533341000 = 2353297331013
BaseRepresentation
bin10100000011011111…
…001011010101001000
32001120200210001200011
4110003133023111020
5323100013403000
613520422121304
71361421243553
oct240337132510
961520701604
1021533341000
119150011896
12420b580234
1320522717c2
141083bc769a
1586069e2ba
hex5037cb548

21533341000 has 128 divisors (see below), whose sum is σ = 52248175200. Its totient is φ = 8296780800.

The previous prime is 21533340949. The next prime is 21533341001. The reversal of 21533341000 is 14333512.

It can be written as a sum of positive squares in 16 ways, for example, as 1342636164 + 20190704836 = 36642^2 + 142094^2 .

It is not an unprimeable number, because it can be changed into a prime (21533341001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21256494 + ... + 21257506.

Almost surely, 221533341000 is an apocalyptic number.

21533341000 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 21533341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124087600).

21533341000 is an abundant number, since it is smaller than the sum of its proper divisors (30714834200).

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

21533341000 is a wasteful number, since it uses less digits than its factorization.

21533341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 21533341000 its reverse (14333512), we get a palindrome (21547674512).

The spelling of 21533341000 in words is "twenty-one billion, five hundred thirty-three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 733 1000 1013 1160 1450 1466 2026 2900 2932 3625 3665 4052 5065 5800 5864 7250 7330 8104 10130 14500 14660 18325 20260 21257 25325 29000 29320 29377 36650 40520 42514 50650 58754 73300 85028 91625 101300 106285 117508 126625 146600 146885 170056 183250 202600 212570 235016 253250 293770 366500 425140 506500 531425 587540 733000 734425 742529 850280 1013000 1062850 1175080 1468850 1485058 2125700 2657125 2937700 2970116 3672125 3712645 4251400 5314250 5875400 5940232 7344250 7425290 10628500 14688500 14850580 18563225 21257000 21533341 29377000 29701160 37126450 43066682 74252900 86133364 92816125 107666705 148505800 172266728 185632250 215333410 371264500 430666820 538333525 742529000 861333640 1076667050 2153334100 2691667625 4306668200 5383335250 10766670500 21533341000