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21001220200002 = 23737521148317491
BaseRepresentation
bin1001100011001101110100…
…10001010001011001000010
32202100200211010220111212110
410301212322101101121002
510223040444332400002
6112355454413440150
74265200546220220
oct461467221213102
982320733814773
1021001220200002
116767627336289
1224322161a0056
13b945392c71c3
14528670771b10
152664537c7e6c
hex1319ba451642

21001220200002 has 128 divisors (see below), whose sum is σ = 49430920992768. Its totient is φ = 5822709235200.

The previous prime is 21001220199991. The next prime is 21001220200003. The reversal of 21001220200002 is 20000202210012.

It is not an unprimeable number, because it can be changed into a prime (21001220200003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1200678477 + ... + 1200695967.

It is an arithmetic number, because the mean of its divisors is an integer number (386179070256).

Almost surely, 221001220200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001220200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715460496384).

21001220200002 is an abundant number, since it is smaller than the sum of its proper divisors (28429700792766).

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

21001220200002 is a wasteful number, since it uses less digits than its factorization.

21001220200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19544.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21001220200002 its reverse (20000202210012), we get a palindrome (41001422410014).

The spelling of 21001220200002 in words is "twenty-one trillion, one billion, two hundred twenty million, two hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 521 777 1042 1483 1554 1563 2966 3126 3647 4449 7294 8898 10381 10941 17491 19277 20762 21882 31143 34982 38554 52473 54871 57831 62286 104946 109742 115662 122437 134939 164613 244874 269878 329226 367311 384097 404817 647167 734622 768194 772643 809634 1152291 1294334 1545286 1941501 2304582 2317929 3883002 4530169 4635858 5408501 9060338 9112811 10817002 13590507 16225503 18225622 25939153 27181014 27338433 28587791 32451006 51878306 54676866 57175582 63789677 77817459 85763373 127579354 155634918 171526746 181574071 191369031 200114537 337174007 363148142 382738062 400229074 544722213 600343611 674348014 959748661 1011522021 1089444426 1200687222 1919497322 2023044042 2360218049 2879245983 4720436098 5758491966 6718240627 7080654147 13436481254 13514298713 14161308294 20154721881 27028597426 40309443762 40542896139 81085792278 94600090991 189200181982 283800272973 500029052381 567600545946 1000058104762 1500087157143 3000174314286 3500203366667 7000406733334 10500610100001 21001220200002