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21000001211000 = 2353726911152417
BaseRepresentation
bin1001100011001011100011…
…00111001100101001111000
32202100120200012011110022122
410301211301213030221320
510223031000302223000
6112355133430340412
74265125415043350
oct461456147145170
982316605143278
1021000001211000
11676706123a859
122431b35aba708
13b943a38b4836
145285968dbb60
152663d178b085
hex1319719cca78

21000001211000 has 128 divisors (see below), whose sum is σ = 56368781539200. Its totient is φ = 7173233971200.

The previous prime is 21000001210973. The next prime is 21000001211003. The reversal of 21000001211000 is 11210000012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000001211003) 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, 3693209 + ... + 7459208.

It is an arithmetic number, because the mean of its divisors is an integer number (440381105775).

Almost surely, 221000001211000 is an apocalyptic number.

21000001211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000001211000 is an abundant number, since it is smaller than the sum of its proper divisors (35368780328200).

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

21000001211000 is a wasteful number, since it uses less digits than its factorization.

21000001211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152714 (or 11152700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21000001211000 its reverse (11210000012), we get a palindrome (21011211211012).

The spelling of 21000001211000 in words is "twenty-one trillion, one million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 269 280 350 500 538 700 875 1000 1076 1345 1400 1750 1883 2152 2690 3500 3766 5380 6725 7000 7532 9415 10760 13450 15064 18830 26900 33625 37660 47075 53800 67250 75320 94150 134500 188300 235375 269000 376600 470750 941500 1883000 11152417 22304834 44609668 55762085 78066919 89219336 111524170 156133838 223048340 278810425 312267676 390334595 446096680 557620850 624535352 780669190 1115241700 1394052125 1561338380 1951672975 2230483400 2788104250 3000000173 3122676760 3903345950 5576208500 6000000346 7806691900 9758364875 11152417000 12000000692 15000000865 15613383800 19516729750 21000001211 24000001384 30000001730 39033459500 42000002422 60000003460 75000004325 78066919000 84000004844 105000006055 120000006920 150000008650 168000009688 210000012110 300000017300 375000021625 420000024220 525000030275 600000034600 750000043250 840000048440 1050000060550 1500000086500 2100000121100 2625000151375 3000000173000 4200000242200 5250000302750 10500000605500 21000001211000