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1022121001 = 11216135237
BaseRepresentation
bin111100111011000…
…101010000101001
32122020022010102101
4330323011100221
54043130333001
6245231333401
734220612416
oct7473052051
92566263371
101022121001
11484a62700
12246381261
131339b3b35
1499a6910d
155eb00a01
hex3cec5429

1022121001 has 12 divisors (see below), whose sum is σ = 1124399556. Its totient is φ = 928447520.

The previous prime is 1022120987. The next prime is 1022121011. The reversal of 1022121001 is 1001212201.

1022121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 765960976 + 256160025 = 27676^2 + 16005^2 .

It is not a de Polignac number, because 1022121001 - 27 = 1022120873 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192555 + ... + 197791.

It is an arithmetic number, because the mean of its divisors is an integer number (93699963).

Almost surely, 21022121001 is an apocalyptic number.

1022121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022121001 is a deficient number, since it is larger than the sum of its proper divisors (102278555).

1022121001 is a wasteful number, since it uses less digits than its factorization.

1022121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1022121001 is about 31970.6271599417. The cubic root of 1022121001 is about 1007.3199545271.

Adding to 1022121001 its reverse (1001212201), we get a palindrome (2023333202).

The spelling of 1022121001 in words is "one billion, twenty-two million, one hundred twenty-one thousand, one".

Divisors: 1 11 121 1613 5237 17743 57607 195173 633677 8447281 92920091 1022121001