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10300132000 = 25532639791
BaseRepresentation
bin10011001011110111…
…11000101010100000
3222120211111220211101
421211323320222200
5132043313211000
64422023324144
7513150451234
oct114573705240
928524456741
1010300132000
114406179694
121bb55b0654
13c81c33382
146d9d6c5c4
154043e5e6a
hex265ef8aa0

10300132000 has 96 divisors (see below), whose sum is σ = 25406244864. Its totient is φ = 4103968000.

The previous prime is 10300131983. The next prime is 10300132019. The reversal of 10300132000 is 23100301.

10300132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1047105 + ... + 1056895.

It is an arithmetic number, because the mean of its divisors is an integer number (264648384).

Almost surely, 210300132000 is an apocalyptic number.

10300132000 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 10300132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703122432).

10300132000 is an abundant number, since it is smaller than the sum of its proper divisors (15106112864).

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

10300132000 is an equidigital number, since it uses as much as digits as its factorization.

10300132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10300132000 its reverse (23100301), we get a palindrome (10323232301).

The spelling of 10300132000 in words is "ten billion, three hundred million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 800 1000 1052 1315 2000 2104 2630 4000 4208 5260 6575 8416 9791 10520 13150 19582 21040 26300 32875 39164 42080 48955 52600 65750 78328 97910 105200 131500 156656 195820 210400 244775 263000 313312 391640 489550 526000 783280 979100 1052000 1223875 1566560 1958200 2447750 2575033 3916400 4895500 5150066 7832800 9791000 10300132 12875165 19582000 20600264 25750330 39164000 41200528 51500660 64375825 82401056 103001320 128751650 206002640 257503300 321879125 412005280 515006600 643758250 1030013200 1287516500 2060026400 2575033000 5150066000 10300132000