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21233410000 = 245411193031
BaseRepresentation
bin10011110001100111…
…000001111111010000
32000210210101222200121
4103301213001333100
5321441223110000
613430545400024
71351120002265
oct236147017720
960723358617
1021233410000
119006785230
124147039014
13200509923a
14105603126c
158441a5b1a
hex4f19c1fd0

21233410000 has 100 divisors (see below), whose sum is σ = 56081973024. Its totient is φ = 7721200000.

The previous prime is 21233409991. The next prime is 21233410027. The reversal of 21233410000 is 1433212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13485 + ... + 206515.

Almost surely, 221233410000 is an apocalyptic number.

21233410000 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 21233410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28040986512).

21233410000 is an abundant number, since it is smaller than the sum of its proper divisors (34848563024).

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

21233410000 is a wasteful number, since it uses less digits than its factorization.

21233410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193070 (or 193049 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21233410000 its reverse (1433212), we get a palindrome (21234843212).

The spelling of 21233410000 in words is "twenty-one billion, two hundred thirty-three million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 193031 386062 772124 965155 1544248 1930310 2123341 3088496 3860620 4246682 4825775 7721240 8493364 9651550 10616705 15442480 16986728 19303100 21233410 24128875 33973456 38606200 42466820 48257750 53083525 77212400 84933640 96515500 106167050 120644375 169867280 193031000 212334100 241288750 265417625 386062000 424668200 482577500 530835250 849336400 965155000 1061670500 1327088125 1930310000 2123341000 2654176250 4246682000 5308352500 10616705000 21233410000