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21313112120000 = 2654737299011
BaseRepresentation
bin1001101100010010110000…
…11110100001101011000000
32210110111212102120200001222
410312021120132201223000
510243143223200320000
6113155035240014212
74326551533622351
oct466113036415300
983414772520058
1021313112120000
116877927184038
12248275a161368
13bb7a82a7815c
145397badd9d28
1526e609ea8a85
hex1362587a1ac0

21313112120000 has 140 divisors (see below), whose sum is σ = 53573565640056. Its totient is φ = 8408459520000.

The previous prime is 21313112119997. The next prime is 21313112120093. The reversal of 21313112120000 is 2121131312.

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 19 ways as a sum of consecutive naturals, for example, 729506 + ... + 6569505.

Almost surely, 221313112120000 is an apocalyptic number.

21313112120000 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 21313112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26786782820028).

21313112120000 is an abundant number, since it is smaller than the sum of its proper divisors (32260453520056).

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

21313112120000 is an frugal number, since it uses more digits than its factorization.

21313112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299116 (or 7299091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21313112120000 its reverse (2121131312), we get a palindrome (21315233251312).

The spelling of 21313112120000 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 625 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3650 4000 4672 5000 5840 7300 8000 9125 10000 11680 14600 18250 20000 23360 29200 36500 40000 45625 58400 73000 91250 116800 146000 182500 292000 365000 584000 730000 1460000 2920000 7299011 14598022 29196044 36495055 58392088 72990110 116784176 145980220 182475275 233568352 291960440 364950550 467136704 532827803 583920880 729901100 912376375 1065655606 1167841760 1459802200 1824752750 2131311212 2335683520 2664139015 2919604400 3649505500 4262622424 4561881875 5328278030 5839208800 7299011000 8525244848 9123763750 10656556060 11678417600 13320695075 14598022000 17050489696 18247527500 21313112120 26641390150 29196044000 34100979392 36495055000 42626224240 53282780300 58392088000 66603475375 72990110000 85252448480 106565560600 133206950750 145980220000 170504896960 213131121200 266413901500 291960440000 333017376875 426262242400 532827803000 666034753750 852524484800 1065655606000 1332069507500 2131311212000 2664139015000 4262622424000 5328278030000 10656556060000 21313112120000