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21033021120 = 263589246173
BaseRepresentation
bin10011100101101010…
…100110111011000000
32000021211100011211020
4103211222212323000
5321033423133440
613355030345440
71343134505166
oct234552467300
960254304736
1021033021120
118a13657091
1240ababb280
131ca2706c37
14103758b236
158317c13d0
hex4e5aa6ec0

21033021120 has 112 divisors (see below), whose sum is σ = 67530451680. Its totient is φ = 5545762816.

The previous prime is 21033021091. The next prime is 21033021127. The reversal of 21033021120 is 2112033012.

It is a super-3 number, since 3×210330211203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21033021120.

It is not an unprimeable number, because it can be changed into a prime (21033021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37647 + ... + 208526.

Almost surely, 221033021120 is an apocalyptic number.

21033021120 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 21033021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33765225840).

21033021120 is an abundant number, since it is smaller than the sum of its proper divisors (46497430560).

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

21033021120 is a wasteful number, since it uses less digits than its factorization.

21033021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246282 (or 246272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21033021120 its reverse (2112033012), we get a palindrome (23145054132).

The spelling of 21033021120 in words is "twenty-one billion, thirty-three million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 14240 17088 21360 28480 42720 85440 246173 492346 738519 984692 1230865 1477038 1969384 2461730 2954076 3692595 3938768 4923460 5908152 7385190 7877536 9846920 11816304 14770380 15755072 19693840 21909397 23632608 29540760 39387680 43818794 47265216 59081520 65728191 78775360 87637588 109546985 118163040 131456382 175275176 219093970 236326080 262912764 328640955 350550352 438187940 525825528 657281910 701100704 876375880 1051651056 1314563820 1402201408 1752751760 2103302112 2629127640 3505503520 4206604224 5258255280 7011007040 10516510560 21033021120