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21012112202000 = 245310699827929
BaseRepresentation
bin1001100011100010000110…
…11110111101100100010000
32202101201221020010112200212
410301301003132331210100
510223230301210431000
6112404455303103252
74266034504550123
oct461610336754420
982351836115625
1021012112202000
11677120660a627
122434355a41b28
13b95583a3a7ba
14528dc516c3ba
1526688eb32c35
hex131c437bd910

21012112202000 has 80 divisors (see below), whose sum is σ = 50854820343600. Its totient is φ = 8396981683200.

The previous prime is 21012112201987. The next prime is 21012112202027. The reversal of 21012112202000 is 20221121012.

21012112202000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3519240929296 + 17492871272704 = 1875964^2 + 4182448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2775965 + ... + 7051964.

It is an arithmetic number, because the mean of its divisors is an integer number (635685254295).

Almost surely, 221012112202000 is an apocalyptic number.

21012112202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012112202000 is an abundant number, since it is smaller than the sum of its proper divisors (29842708141600).

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

21012112202000 is a wasteful number, since it uses less digits than its factorization.

21012112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829021 (or 9829005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21012112202000 its reverse (20221121012), we get a palindrome (21032333323012).

The spelling of 21012112202000 in words is "twenty-one trillion, twelve billion, one hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1069 2000 2138 4276 5345 8552 10690 17104 21380 26725 42760 53450 85520 106900 133625 213800 267250 427600 534500 1069000 2138000 9827929 19655858 39311716 49139645 78623432 98279290 157246864 196558580 245698225 393117160 491396450 786234320 982792900 1228491125 1965585800 2456982250 3931171600 4913964500 9827929000 10506056101 19655858000 21012112202 42024224404 52530280505 84048448808 105060561010 168096897616 210121122020 262651402525 420242244040 525302805050 840484488080 1050605610100 1313257012625 2101211220200 2626514025250 4202422440400 5253028050500 10506056101000 21012112202000