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1322104120 = 235316911543
BaseRepresentation
bin100111011001101…
…1011010100111000
310102010202211220021
41032303123110320
510201424312440
6335105140224
744522461651
oct11663332470
93363684807
101322104120
11619325437
1230a92a674
13180ba703c
14c7836528
157b10984a
hex4ecdb538

1322104120 has 64 divisors (see below), whose sum is σ = 3077130240. Its totient is φ = 510710400.

The previous prime is 1322104117. The next prime is 1322104153. The reversal of 1322104120 is 214012231.

1322104120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1322104094 and 1322104103.

It is a congruent number.

It is an unprimeable number.

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, 856069 + ... + 857611.

It is an arithmetic number, because the mean of its divisors is an integer number (48080160).

Almost surely, 21322104120 is an apocalyptic number.

1322104120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538565120).

1322104120 is an abundant number, since it is smaller than the sum of its proper divisors (1755026120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322104120 is a wasteful number, since it uses less digits than its factorization.

1322104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1322104120 is about 36360.7497172432. The cubic root of 1322104120 is about 1097.5438642500.

Adding to 1322104120 its reverse (214012231), we get a palindrome (1536116351).

The spelling of 1322104120 in words is "one billion, three hundred twenty-two million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 691 1240 1382 1543 2764 3086 3455 5528 6172 6910 7715 12344 13820 15430 21421 27640 30860 42842 47833 61720 85684 95666 107105 171368 191332 214210 239165 382664 428420 478330 856840 956660 1066213 1913320 2132426 4264852 5331065 8529704 10662130 21324260 33052603 42648520 66105206 132210412 165263015 264420824 330526030 661052060 1322104120