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21223201223000 = 235377274170407
BaseRepresentation
bin1001101001101011010010…
…10111101011000101011000
32210010220210101100212021202
410310311221113223011120
510240210104003114000
6113045445401253332
74320216465614330
oct464655127530530
983126711325252
1021223201223000
116842788891397
122469247194248
13bac45455275a
145352cbc940c0
1526c0e687cdd5
hex134d695eb158

21223201223000 has 128 divisors (see below), whose sum is σ = 56834987489280. Its totient is φ = 7266515414400.

The previous prime is 21223201222889. The next prime is 21223201223039. The reversal of 21223201223000 is 32210232212.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003797 + ... + 7174203.

It is an arithmetic number, because the mean of its divisors is an integer number (444023339760).

Almost surely, 221223201223000 is an apocalyptic number.

21223201223000 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 21223201223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28417493744640).

21223201223000 is an abundant number, since it is smaller than the sum of its proper divisors (35611786266280).

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

21223201223000 is a wasteful number, since it uses less digits than its factorization.

21223201223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171162 (or 4171148 counting only the distinct ones).

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

Adding to 21223201223000 its reverse (32210232212), we get a palindrome (21255411455212).

The spelling of 21223201223000 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 727 875 1000 1400 1454 1750 2908 3500 3635 5089 5816 7000 7270 10178 14540 18175 20356 25445 29080 36350 40712 50890 72700 90875 101780 127225 145400 181750 203560 254450 363500 508900 636125 727000 1017800 1272250 2544500 4170407 5089000 8340814 16681628 20852035 29192849 33363256 41704070 58385698 83408140 104260175 116771396 145964245 166816280 208520350 233542792 291928490 417040700 521300875 583856980 729821225 834081400 1042601750 1167713960 1459642450 2085203500 2919284900 3031885889 3649106125 4170407000 5838569800 6063771778 7298212250 12127543556 14596424500 15159429445 21223201223 24255087112 29192849000 30318858890 42446402446 60637717780 75797147225 84892804892 106116006115 121275435560 151594294450 169785609784 212232012230 303188588900 378985736125 424464024460 530580030575 606377177800 757971472250 848928048920 1061160061150 1515942944500 2122320122300 2652900152875 3031885889000 4244640244600 5305800305750 10611600611500 21223201223000