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21000123120 = 24351710947221
BaseRepresentation
bin10011100011101101…
…000111001011110000
32000012112102210020210
4103203231013023300
5321002012414440
613351453304120
71342255046514
oct234355071360
960175383223
1021000123120
1189a7027359
1240a0a95040
131c98958b72
141033066144
1582d973a80
hex4e3b472f0

21000123120 has 160 divisors (see below), whose sum is σ = 69563672640. Its totient is φ = 5222154240.

The previous prime is 21000123101. The next prime is 21000123127. The reversal of 21000123120 is 2132100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21000123096 and 21000123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000123127) 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, 421110 + ... + 468330.

It is an arithmetic number, because the mean of its divisors is an integer number (434772954).

Almost surely, 221000123120 is an apocalyptic number.

21000123120 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 21000123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34781836320).

21000123120 is an abundant number, since it is smaller than the sum of its proper divisors (48563549520).

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

21000123120 is a wasteful number, since it uses less digits than its factorization.

21000123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47363 (or 47357 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21000123120 its reverse (2132100012), we get a palindrome (23132223132).

The spelling of 21000123120 in words is "twenty-one billion, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 109 120 136 170 204 218 240 255 272 327 340 408 436 510 545 654 680 816 872 1020 1090 1308 1360 1635 1744 1853 2040 2180 2616 3270 3706 4080 4360 5232 5559 6540 7412 8720 9265 11118 13080 14824 18530 22236 26160 27795 29648 37060 44472 47221 55590 74120 88944 94442 111180 141663 148240 188884 222360 236105 283326 377768 444720 472210 566652 708315 755536 802757 944420 1133304 1416630 1605514 1888840 2266608 2408271 2833260 3211028 3777680 4013785 4816542 5147089 5666520 6422056 8027570 9633084 10294178 11333040 12041355 12844112 15441267 16055140 19266168 20588356 24082710 25735445 30882534 32110280 38532336 41176712 48165420 51470890 61765068 64220560 77206335 82353424 87500513 96330840 102941780 123530136 154412670 175001026 192661680 205883560 247060272 262501539 308825340 350002052 411767120 437502565 525003078 617650680 700004104 875005130 1050006156 1235301360 1312507695 1400008208 1750010260 2100012312 2625015390 3500020520 4200024624 5250030780 7000041040 10500061560 21000123120