Search a number
-
+
2001221000121 = 37198360428813
BaseRepresentation
bin11101000111110010000…
…100010001101110111001
321002022111112101002020210
4131013302010101232321
5230242000034000441
64131203115141333
7264404056556130
oct35076204215671
97068445332223
102001221000121
117017930a02a2
12283a24a44849
131169394cc255
146cc06ac8917
15370ca2b5616
hex1d1f2111bb9

2001221000121 has 32 divisors (see below), whose sum is σ = 3248653040640. Its totient is φ = 1070315118144.

The previous prime is 2001221000113. The next prime is 2001221000131. The reversal of 2001221000121 is 1210001221002.

It is not a de Polignac number, because 2001221000121 - 23 = 2001221000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001221000097 and 2001221000106.

It is not an unprimeable number, because it can be changed into a prime (2001221000131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30181290 + ... + 30247523.

It is an arithmetic number, because the mean of its divisors is an integer number (101520407520).

Almost surely, 22001221000121 is an apocalyptic number.

2001221000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001221000121 is a deficient number, since it is larger than the sum of its proper divisors (1247432040519).

2001221000121 is a wasteful number, since it uses less digits than its factorization.

2001221000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60428925.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001221000121 its reverse (1210001221002), we get a palindrome (3211222221123).

The spelling of 2001221000121 in words is "two trillion, one billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 19 21 57 83 133 249 399 581 1577 1743 4731 11039 33117 60428813 181286439 423001691 1148147447 1269005073 3444442341 5015591479 8037032129 15046774437 24111096387 35109140353 95296238101 105327421059 285888714303 667073666707 2001221000121