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1342320100 = 2252112921451
BaseRepresentation
bin101000000000010…
…0010110111100100
310110112210221000021
41100000202313210
510222113220400
6341110324524
745156350452
oct12000426744
93415727007
101342320100
11629782a60
12315659744
13185134864
14ca3b99d2
157cc9e71a
hex50022de4

1342320100 has 108 divisors (see below), whose sum is σ = 3293257968. Its totient is φ = 470960000.

The previous prime is 1342320097. The next prime is 1342320101. The reversal of 1342320100 is 10232431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1342320101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924375 + ... + 925825.

Almost surely, 21342320100 is an apocalyptic number.

1342320100 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 1342320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646628984).

1342320100 is an abundant number, since it is smaller than the sum of its proper divisors (1950937868).

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

1342320100 is a wasteful number, since it uses less digits than its factorization.

1342320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1342320100 is about 36637.6868811337. The cubic root of 1342320100 is about 1103.1096855244.

Adding to 1342320100 its reverse (10232431), we get a palindrome (1352552531).

The spelling of 1342320100 in words is "one billion, three hundred forty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 841 1100 1276 1450 1451 1595 1682 2900 2902 3190 3364 4205 5804 6380 7255 7975 8410 9251 14510 15950 15961 16820 18502 21025 29020 31900 31922 36275 37004 42050 42079 46255 63844 72550 79805 84100 84158 92510 145100 159610 168316 185020 210395 231275 319220 399025 420790 462550 462869 798050 841580 925100 925738 1051975 1220291 1596100 1851476 2103950 2314345 2440582 4207900 4628690 4881164 6101455 9257380 11571725 12202910 13423201 23143450 24405820 26846402 30507275 46286900 53692804 61014550 67116005 122029100 134232010 268464020 335580025 671160050 1342320100