Search a number
-
+
20011321101000 = 2335354601122167
BaseRepresentation
bin1001000110011001111111…
…01011111000101011001000
32121212001201101010000122210
410203030333223320223020
510110331141200213000
6110321023552345120
74133525122550145
oct443147753705310
977761641100583
1020011321101000
116415832081859
1222b23b2b451a0
13b220a08b6778
144d27a5a353cc
1524a818c01350
hex12333faf8ac8

20011321101000 has 128 divisors (see below), whose sum is σ = 62436976392960. Its totient is φ = 5336210880000.

The previous prime is 20011321100891. The next prime is 20011321101017. The reversal of 20011321101000 is 10112311002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163741917 + ... + 163864083.

It is an arithmetic number, because the mean of its divisors is an integer number (487788878070).

Almost surely, 220011321101000 is an apocalyptic number.

20011321101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011321101000 is an abundant number, since it is smaller than the sum of its proper divisors (42425655291960).

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

20011321101000 is a wasteful number, since it uses less digits than its factorization.

20011321101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176792 (or 176778 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20011321101000 its reverse (10112311002), we get a palindrome (20021433412002).

The spelling of 20011321101000 in words is "twenty trillion, eleven billion, three hundred twenty-one million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 54601 109202 122167 163803 218404 244334 273005 327606 366501 436808 488668 546010 610835 655212 733002 819015 977336 1092020 1221670 1310424 1365025 1466004 1638030 1832505 2184040 2443340 2730050 2932008 3054175 3276060 3665010 4095075 4886680 5460100 6108350 6552120 6825125 7330020 8190150 9162525 10920200 12216700 13650250 14660040 15270875 16380300 18325050 20475375 24433400 27300500 30541750 32760600 36650100 40950750 45812625 54601000 61083500 73300200 81901500 91625250 122167000 163803000 183250500 366501000 6670440367 13340880734 20011321101 26681761468 33352201835 40022642202 53363522936 66704403670 80045284404 100056605505 133408807340 160090568808 166761009175 200113211010 266817614680 333522018350 400226422020 500283027525 667044036700 800452844040 833805045875 1000566055050 1334088073400 1667610091750 2001132110100 2501415137625 3335220183500 4002264220200 5002830275250 6670440367000 10005660550500 20011321101000