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1022132321001 = 3211103691145063
BaseRepresentation
bin11101101111110111101…
…01010111101011101001
310121201022011021211020200
432313323311113223221
5113221311333233001
62101321110542413
7133563251243151
oct16677365275351
93551264254220
101022132321001
11364536059280
1214611a067a09
137550466987c
14376859cd761
151b8c47d1086
hexedfbd57ae9

1022132321001 has 48 divisors (see below), whose sum is σ = 1628634688512. Its totient is φ = 612567813600.

The previous prime is 1022132320991. The next prime is 1022132321009. The reversal of 1022132321001 is 1001232312201.

It is not a de Polignac number, because 1022132321001 - 27 = 1022132320873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022132321009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6973596 + ... + 7118658.

It is an arithmetic number, because the mean of its divisors is an integer number (33929889344).

Almost surely, 21022132321001 is an apocalyptic number.

1022132321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022132321001 is a deficient number, since it is larger than the sum of its proper divisors (606502367511).

1022132321001 is a wasteful number, since it uses less digits than its factorization.

1022132321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145874 (or 145871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022132321001 its reverse (1001232312201), we get a palindrome (2023364633202).

The spelling of 1022132321001 in words is "one trillion, twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, one".

Divisors: 1 3 9 11 33 99 103 309 691 927 1133 2073 3399 6219 7601 10197 22803 68409 71173 145063 213519 435189 640557 782903 1305567 1595693 2348709 4787079 7046127 14361237 14941489 44824467 100238533 134473401 164356379 300715599 493069137 902146797 1102623863 1479207411 3307871589 9923614767 10324568899 30973706697 92921120091 113570257889 340710773667 1022132321001