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21000142320 = 2435672415419
BaseRepresentation
bin10011100011101101…
…001011110111110000
32000012112110202120220
4103203231023313300
5321002014023240
613351453533040
71342255156503
oct234355136760
960175422526
1021000142320
1189a703a823
1240a0aa4180
131c98964821
14103306d13a
1582d9795d0
hex4e3b4bdf0

21000142320 has 160 divisors (see below), whose sum is σ = 66358490880. Its totient is φ = 5492551680.

The previous prime is 21000142309. The next prime is 21000142321. The reversal of 21000142320 is 2324100012.

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 21000142320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000142321) 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, 3872571 + ... + 3877989.

It is an arithmetic number, because the mean of its divisors is an integer number (414740568).

Almost surely, 221000142320 is an apocalyptic number.

21000142320 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 21000142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179245440).

21000142320 is an abundant number, since it is smaller than the sum of its proper divisors (45358348560).

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

21000142320 is a wasteful number, since it uses less digits than its factorization.

21000142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21000142320 its reverse (2324100012), we get a palindrome (23324242332).

The spelling of 21000142320 in words is "twenty-one billion, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 241 268 335 402 482 536 670 723 804 964 1005 1072 1205 1340 1446 1608 1928 2010 2410 2680 2892 3216 3615 3856 4020 4820 5360 5419 5784 7230 8040 9640 10838 11568 14460 16080 16147 16257 19280 21676 27095 28920 32294 32514 43352 48441 54190 57840 64588 65028 80735 81285 86704 96882 108380 129176 130056 161470 162570 193764 216760 242205 258352 260112 322940 325140 363073 387528 433520 484410 645880 650280 726146 775056 968820 1089219 1291760 1300560 1305979 1452292 1815365 1937640 2178438 2611958 2904584 3630730 3875280 3917937 4356876 5223916 5446095 5809168 6529895 7261460 7835874 8713752 10447832 10892190 13059790 14522920 15671748 17427504 19589685 20895664 21784380 26119580 29045840 31343496 39179370 43568760 52239160 62686992 78358740 87137520 87500593 104478320 156717480 175001186 262501779 313434960 350002372 437502965 525003558 700004744 875005930 1050007116 1312508895 1400009488 1750011860 2100014232 2625017790 3500023720 4200028464 5250035580 7000047440 10500071160 21000142320