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10320320100 = 22352229150223
BaseRepresentation
bin10011001110010001…
…11001011001100100
3222122020111120200210
421213020321121210
5132114000220400
64424024135420
7513514162536
oct114710713144
928566446623
1010320320100
114416608272
122000307570
13c861812ac
146dc905856
15406082950
hex267239664

10320320100 has 72 divisors (see below), whose sum is σ = 29990719360. Its totient is φ = 2740049280.

The previous prime is 10320320093. The next prime is 10320320123. The reversal of 10320320100 is 102302301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412 + ... + 143811.

Almost surely, 210320320100 is an apocalyptic number.

10320320100 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 10320320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995359680).

10320320100 is an abundant number, since it is smaller than the sum of its proper divisors (19670399260).

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

10320320100 is a wasteful number, since it uses less digits than its factorization.

10320320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150469 (or 150462 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10320320100 its reverse (102302301), we get a palindrome (10422622401).

The spelling of 10320320100 in words is "ten billion, three hundred twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 150223 300446 450669 600892 751115 901338 1502230 1802676 2253345 3004460 3755575 4506690 7511150 9013380 11266725 15022300 22533450 34401067 45066900 68802134 103203201 137604268 172005335 206406402 344010670 412812804 516016005 688021340 860026675 1032032010 1720053350 2064064020 2580080025 3440106700 5160160050 10320320100