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21133000320 = 273512898539
BaseRepresentation
bin10011101011100111…
…111111111010000000
32000112210110122111120
4103223213333322000
5321240022002240
613413001312240
71345460352555
oct235347777200
960483418446
1021133000320
118a65033a23
124119495680
131cba341123
141046974a2c
1583a46ead0
hex4eb9ffe80

21133000320 has 128 divisors (see below), whose sum is σ = 67421592000. Its totient is φ = 5630435328.

The previous prime is 21133000319. The next prime is 21133000391. The reversal of 21133000320 is 2300033112.

It is a tau number, because it is divible by the number of its divisors (128).

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 21133000320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470611 + ... + 2479149.

Almost surely, 221133000320 is an apocalyptic number.

21133000320 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 21133000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710796000).

21133000320 is an abundant number, since it is smaller than the sum of its proper divisors (46288591680).

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

21133000320 is a wasteful number, since it uses less digits than its factorization.

21133000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21133000320 its reverse (2300033112), we get a palindrome (23433033432).

The spelling of 21133000320 in words is "twenty-one billion, one hundred thirty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1289 1920 2578 3867 5156 6445 7734 8539 10312 12890 15468 17078 19335 20624 25617 25780 30936 34156 38670 41248 42695 51234 51560 61872 68312 77340 82496 85390 102468 103120 123744 128085 136624 154680 164992 170780 204936 206240 247488 256170 273248 309360 341560 409872 412480 494976 512340 546496 618720 683120 819744 824960 1024680 1092992 1237440 1366240 1639488 2049360 2474880 2732480 3278976 4098720 5464960 8197440 11006771 16394880 22013542 33020313 44027084 55033855 66040626 88054168 110067710 132081252 165101565 176108336 220135420 264162504 330203130 352216672 440270840 528325008 660406260 704433344 880541680 1056650016 1320812520 1408866688 1761083360 2113300032 2641625040 3522166720 4226600064 5283250080 7044333440 10566500160 21133000320