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1002023121 = 3111910115823
BaseRepresentation
bin111011101110011…
…010100011010001
32120211111001022110
4323232122203101
54023004214441
6243232455533
733555025131
oct7356324321
92524431273
101002023121
11474685890
1223b6aa5a9
1312c797cb8
1497116ac1
155ce80b16
hex3bb9a8d1

1002023121 has 32 divisors (see below), whose sum is σ = 1549486080. Its totient is φ = 569592000.

The previous prime is 1002023119. The next prime is 1002023147. The reversal of 1002023121 is 1213202001.

It is not a de Polignac number, because 1002023121 - 21 = 1002023119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002023097 and 1002023106.

It is not an unprimeable number, because it can be changed into a prime (1002023101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55416 + ... + 71238.

It is an arithmetic number, because the mean of its divisors is an integer number (48421440).

Almost surely, 21002023121 is an apocalyptic number.

1002023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002023121 is a deficient number, since it is larger than the sum of its proper divisors (547462959).

1002023121 is a wasteful number, since it uses less digits than its factorization.

1002023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002023121 is about 31654.7487906633. The cubic root of 1002023121 is about 1000.6739193973.

Adding to 1002023121 its reverse (1213202001), we get a palindrome (2215225122).

The spelling of 1002023121 in words is "one billion, two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 19 33 57 101 209 303 627 1111 1919 3333 5757 15823 21109 47469 63327 174053 300637 522159 901911 1598123 3307007 4794369 9921021 17579353 30364337 52738059 91093011 334007707 1002023121