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21323032122000 = 243537507691241
BaseRepresentation
bin1001101100100101001111…
…10000010101001010010000
32210111110110202210222120110
410312102213300111022100
510243324032210401000
6113203355444041320
74330352420350110
oct466224760251220
983443422728513
1021323032122000
1168810578193a4
122484668393240
13bb89a400611b
1453a07c697040
1526e9dad13850
hex1364a7c15290

21323032122000 has 160 divisors (see below), whose sum is σ = 78566235081984. Its totient is φ = 4873835904000.

The previous prime is 21323032121999. The next prime is 21323032122019. The reversal of 21323032122000 is 22123032312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253803621 + ... + 253887620.

Almost surely, 221323032122000 is an apocalyptic number.

21323032122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21323032122000 is an abundant number, since it is smaller than the sum of its proper divisors (57243202959984).

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

21323032122000 is a wasteful number, since it uses less digits than its factorization.

21323032122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507691274 (or 507691258 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21323032122000 its reverse (22123032312), we get a palindrome (21345155154312).

The spelling of 21323032122000 in words is "twenty-one trillion, three hundred twenty-three billion, thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 507691241 1015382482 1523073723 2030764964 2538456205 3046147446 3553838687 4061529928 5076912410 6092294892 7107677374 7615368615 8123059856 10153824820 10661516061 12184589784 12692281025 14215354748 15230737230 17769193435 20307649640 21323032122 24369179568 25384562050 28430709496 30461474460 35538386870 38076843075 40615299280 42646064244 50769124100 53307580305 56861418992 60922948920 63461405125 71076773740 76153686150 85292128488 88845967175 101538248200 106615160610 121845897840 126922810250 142153547480 152307372300 170584256976 177691934350 190384215375 203076496400 213230321220 253845620500 266537901525 284307094960 304614744600 355383868700 380768430750 426460642440 444229835875 507691241000 533075803050 609229489200 710767737400 761536861500 852921284880 888459671750 1015382482000 1066151606100 1332689507625 1421535474800 1523073723000 1776919343500 2132303212200 2665379015250 3046147446000 3553838687000 4264606424400 5330758030500 7107677374000 10661516061000 21323032122000