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21331433000 = 2353191577151
BaseRepresentation
bin10011110111011100…
…111101011000101000
32001001121212001222002
4103313130331120220
5322141321324000
613444410350132
71353420121523
oct236734753050
961047761862
1021331433000
119057046379
124173a2b348
13201c499c07
141065069bba
1584cab98d5
hex4f773d628

21331433000 has 128 divisors (see below), whose sum is σ = 52884748800. Its totient is φ = 8030880000.

The previous prime is 21331432963. The next prime is 21331433021. The reversal of 21331433000 is 33413312.

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

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, 2979425 + ... + 2986575.

It is an arithmetic number, because the mean of its divisors is an integer number (413162100).

Almost surely, 221331433000 is an apocalyptic number.

21331433000 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 21331433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442374400).

21331433000 is an abundant number, since it is smaller than the sum of its proper divisors (31553315800).

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

21331433000 is a wasteful number, since it uses less digits than its factorization.

21331433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21331433000 its reverse (33413312), we get a palindrome (21364846312).

The spelling of 21331433000 in words is "twenty-one billion, three hundred thirty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 157 190 200 250 314 380 475 500 628 760 785 950 1000 1256 1570 1900 2375 2983 3140 3800 3925 4750 5966 6280 7151 7850 9500 11932 14302 14915 15700 19000 19625 23864 28604 29830 31400 35755 39250 57208 59660 71510 74575 78500 119320 135869 143020 149150 157000 178775 271738 286040 298300 357550 372875 543476 596600 679345 715100 745750 893875 1086952 1122707 1358690 1430200 1491500 1787750 2245414 2717380 2983000 3396725 3575500 4490828 5434760 5613535 6793450 7151000 8981656 11227070 13586900 16983625 21331433 22454140 27173800 28067675 33967250 42662866 44908280 56135350 67934500 85325732 106657165 112270700 135869000 140338375 170651464 213314330 224541400 280676750 426628660 533285825 561353500 853257320 1066571650 1122707000 2133143300 2666429125 4266286600 5332858250 10665716500 21331433000