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20011120000 = 2754318069
BaseRepresentation
bin10010101000110000…
…010111010110000000
31220122121110020000121
4102220300113112000
5311440321320000
613105403430024
71305615466504
oct225060272600
956577406017
1020011120000
118539834703
123a65825314
131b6ba9c211
14d7b97c304
157c1c15b1a
hex4a8c17580

20011120000 has 160 divisors (see below), whose sum is σ = 51429787200. Its totient is φ = 7745280000.

The previous prime is 20011119983. The next prime is 20011120021. The reversal of 20011120000 is 2111002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2475966 + ... + 2484034.

It is an arithmetic number, because the mean of its divisors is an integer number (321436170).

Almost surely, 220011120000 is an apocalyptic number.

20011120000 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 20011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25714893600).

20011120000 is an abundant number, since it is smaller than the sum of its proper divisors (31418667200).

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

20011120000 is an frugal number, since it uses more digits than its factorization.

20011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20011120000 its reverse (2111002), we get a palindrome (20013231002).

The spelling of 20011120000 in words is "twenty billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3200 3875 3968 4000 4960 5000 6200 7750 8000 8069 9920 10000 12400 15500 16000 16138 19375 19840 20000 24800 31000 32276 38750 40000 40345 49600 62000 64552 77500 80000 80690 99200 124000 129104 155000 161380 201725 248000 250139 258208 310000 322760 403450 496000 500278 516416 620000 645520 806900 1000556 1008625 1032832 1240000 1250695 1291040 1613800 2001112 2017250 2480000 2501390 2582080 3227600 4002224 4034500 5002780 5043125 5164160 6253475 6455200 8004448 8069000 10005560 10086250 12506950 12910400 16008896 16138000 20011120 20172500 25013900 25820800 31267375 32017792 32276000 40022240 40345000 50027800 62534750 64552000 80044480 80690000 100055600 125069500 129104000 156336875 160088960 161380000 200111200 250139000 312673750 322760000 400222400 500278000 625347500 645520000 800444800 1000556000 1250695000 2001112000 2501390000 4002224000 5002780000 10005560000 20011120000