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1322100021 = 311371082801
BaseRepresentation
bin100111011001101…
…1010010100110101
310102010202122021110
41032303122110311
510201424200041
6335105105233
744522444004
oct11663322465
93363678243
101322100021
11619322350
1230a928219
13180ba5208
14c7834c3b
157b108516
hex4ecda535

1322100021 has 16 divisors (see below), whose sum is σ = 1975030848. Its totient is φ = 779616000.

The previous prime is 1322100011. The next prime is 1322100041. The reversal of 1322100021 is 1200012231.

It is not a de Polignac number, because 1322100021 - 225 = 1288545589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322100011) 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 15 ways as a sum of consecutive naturals, for example, 540180 + ... + 542621.

It is an arithmetic number, because the mean of its divisors is an integer number (123439428).

Almost surely, 21322100021 is an apocalyptic number.

1322100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1322100021 is a deficient number, since it is larger than the sum of its proper divisors (652930827).

1322100021 is a wasteful number, since it uses less digits than its factorization.

1322100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082852.

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

The square root of 1322100021 is about 36360.6933514750. The cubic root of 1322100021 is about 1097.5427299881.

Adding to 1322100021 its reverse (1200012231), we get a palindrome (2522112252).

It can be divided in two parts, 132 and 2100021, that multiplied together give a palindrome (277202772).

The spelling of 1322100021 in words is "one billion, three hundred twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 1082801 3248403 11910811 35732433 40063637 120190911 440700007 1322100021