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121001100020 = 22517117353453
BaseRepresentation
bin111000010110000111…
…0100100001011110100
3102120022202220202112222
41300230032210023310
53440302240200040
6131330453301512
711512343244233
oct1605416441364
9376282822488
10121001100020
1147352a6a409
121b54b034898
13b54471b148
145bdc29cb1a
153232d02bb5
hex1c2c3a42f4

121001100020 has 24 divisors (see below), whose sum is σ = 254117874024. Its totient is φ = 48397475456.

The previous prime is 121001100001. The next prime is 121001100049. The reversal of 121001100020 is 20001100121.

It can be written as a sum of positive squares in 4 ways, for example, as 1244960656 + 119756139364 = 35284^2 + 346058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121001099980 and 121001100007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165614 + ... + 519066.

It is an arithmetic number, because the mean of its divisors is an integer number (10588244751).

Almost surely, 2121001100020 is an apocalyptic number.

121001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001100020 is an abundant number, since it is smaller than the sum of its proper divisors (133116774004).

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

121001100020 is a wasteful number, since it uses less digits than its factorization.

121001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370579 (or 370577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121001100020 its reverse (20001100121), we get a palindrome (141002200141).

The spelling of 121001100020 in words is "one hundred twenty-one billion, one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 17117 34234 68468 85585 171170 342340 353453 706906 1413812 1767265 3534530 7069060 6050055001 12100110002 24200220004 30250275005 60500550010 121001100020