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2001010022120 = 235159193142487
BaseRepresentation
bin11101000111100101011…
…111011101011011101000
321002021221211101021211202
4131013211133131123220
5230241032031201440
64131130141143332
7264365615356664
oct35074537353350
97067854337752
102001010022120
11701694a9a40a
1228398625ab48
131169048a01b5
146cbc6a898a4
15370b69dd615
hex1d1e57dd6e8

2001010022120 has 32 divisors (see below), whose sum is σ = 4502556806400. Its totient is φ = 800353474368.

The previous prime is 2001010022101. The next prime is 2001010022129. The reversal of 2001010022120 is 212200101002.

It is a happy number.

It is a super-2 number, since 2×20010100221202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001010022129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934484 + ... + 2208003.

It is an arithmetic number, because the mean of its divisors is an integer number (140704900200).

Almost surely, 22001010022120 is an apocalyptic number.

2001010022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010022120 is an abundant number, since it is smaller than the sum of its proper divisors (2501546784280).

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

2001010022120 is a wasteful number, since it uses less digits than its factorization.

2001010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158417 (or 3158413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001010022120 its reverse (212200101002), we get a palindrome (2213210123122).

The spelling of 2001010022120 in words is "two trillion, one billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 15919 31838 63676 79595 127352 159190 318380 636760 3142487 6284974 12569948 15712435 25139896 31424870 62849740 125699480 50025250553 100050501106 200101002212 250126252765 400202004424 500252505530 1000505011060 2001010022120