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2001001000122 = 232413537680973
BaseRepresentation
bin11101000111100100111…
…101000010110010111010
321002021221012101220222200
4131013210331002302322
5230241022224000442
64131125215531030
7264365445602535
oct35074475026272
97067835356880
102001001000122
1170168a998013
12283983229a76
13116902a61837
146cbc57bba1c
15370b5d0a34c
hex1d1e4f42cba

2001001000122 has 48 divisors (see below), whose sum is σ = 4453828135848. Its totient is φ = 648888514560.

The previous prime is 2001001000121. The next prime is 2001001000133. The reversal of 2001001000122 is 2210001001002.

It can be written as a sum of positive squares in 4 ways, for example, as 1582289767881 + 418711232241 = 1257891^2 + 647079^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001001000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3579973 + ... + 4101000.

Almost surely, 22001001000122 is an apocalyptic number.

2001001000122 is an abundant number, since it is smaller than the sum of its proper divisors (2452827135726).

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

2001001000122 is a wasteful number, since it uses less digits than its factorization.

2001001000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681375 (or 7681372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001001000122 its reverse (2210001001002), we get a palindrome (4211002001124).

The spelling of 2001001000122 in words is "two trillion, one billion, one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 41 82 123 246 353 369 706 738 1059 2118 3177 6354 14473 28946 43419 86838 130257 260514 7680973 15361946 23042919 46085838 69128757 138257514 314919893 629839786 944759679 1889519358 2711383469 2834279037 5422766938 5668558074 8134150407 16268300814 24402451221 48804902442 111166722229 222333444458 333500166687 667000333374 1000500500061 2001001000122