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132103254400 = 2752133175559
BaseRepresentation
bin111101100000111110…
…1111011000110000000
3110121222111120122020221
41323001331323012000
54131021413120100
6140404251112424
712354433064245
oct1730175730600
9417874518227
10132103254400
115102a930307
1221729142714
13c5c3861a70
1465729615cc
15368282001a
hex1ec1f7b180

132103254400 has 96 divisors (see below), whose sum is σ = 351439225200. Its totient is φ = 48776570880.

The previous prime is 132103254379. The next prime is 132103254403. The reversal of 132103254400 is 4452301231.

It is a super-2 number, since 2×1321032544002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103254403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546180 + ... + 1629379.

Almost surely, 2132103254400 is an apocalyptic number.

132103254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132103254400 is an abundant number, since it is smaller than the sum of its proper divisors (219335970800).

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

132103254400 is a wasteful number, since it uses less digits than its factorization.

132103254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175596 (or 3175579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 132103254400 its reverse (4452301231), we get a palindrome (136555555631).

The spelling of 132103254400 in words is "one hundred thirty-two billion, one hundred three million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 3175559 6351118 12702236 15877795 25404472 31755590 41282267 50808944 63511180 79388975 82564534 101617888 127022360 158777950 165129068 203235776 206411335 254044720 317555900 330258136 406471552 412822670 508089440 635111800 660516272 825645340 1016178880 1032056675 1270223600 1321032544 1651290680 2032357760 2064113350 2540447200 2642065088 3302581360 4128226700 5080894400 5284130176 6605162720 8256453400 10161788800 13210325440 16512906800 26420650880 33025813600 66051627200 132103254400