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21122020201000 = 2353102120687581
BaseRepresentation
bin1001100110101110110101…
…00000101101001000101000
32202210020121220102101102111
410303113122200231020220
510232030344132413000
6112531153325012104
74310005231252105
oct463273240551050
982706556371374
1021122020201000
116803886831a54
1224517099b4034
13ba2a4b164a34
14530450043aac
15269673b05cba
hex1335da82d228

21122020201000 has 64 divisors (see below), whose sum is σ = 49473938601360. Its totient is φ = 8440532640000.

The previous prime is 21122020200977. The next prime is 21122020201001. The reversal of 21122020201000 is 10202022112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2213733331044 + 18908286869956 = 1487862^2 + 4348366^2 .

It is a super-2 number, since 2×211220202010002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122020201001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322791 + ... + 11364790.

Almost surely, 221122020201000 is an apocalyptic number.

21122020201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122020201000 is an abundant number, since it is smaller than the sum of its proper divisors (28351918400360).

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

21122020201000 is a wasteful number, since it uses less digits than its factorization.

21122020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20688623 (or 20688609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21122020201000 its reverse (10202022112), we get a palindrome (21132222223112).

The spelling of 21122020201000 in words is "twenty-one trillion, one hundred twenty-two billion, twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1021 2042 4084 5105 8168 10210 20420 25525 40840 51050 102100 127625 204200 255250 510500 1021000 20687581 41375162 82750324 103437905 165500648 206875810 413751620 517189525 827503240 1034379050 2068758100 2585947625 4137516200 5171895250 10343790500 20687581000 21122020201 42244040402 84488080804 105610101005 168976161608 211220202010 422440404020 528050505025 844880808040 1056101010050 2112202020100 2640252525125 4224404040200 5280505050250 10561010100500 21122020201000