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103132020440 = 23543307195311
BaseRepresentation
bin110000000001100100…
…1011011111011011000
3100212012110002110120202
41200003021123323120
53142203244123230
6115213405041332
710310464465301
oct1400311337330
9325173073522
10103132020440
113a813378449
1217ba2856248
139957669287
144dc4dd17a8
152a391aaa45
hex180325bed8

103132020440 has 64 divisors (see below), whose sum is σ = 238218140160. Its totient is φ = 40161985920.

The previous prime is 103132020391. The next prime is 103132020461. The reversal of 103132020440 is 44020231301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 430385 + ... + 625695.

It is an arithmetic number, because the mean of its divisors is an integer number (3722158440).

Almost surely, 2103132020440 is an apocalyptic number.

103132020440 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 103132020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119109070080).

103132020440 is an abundant number, since it is smaller than the sum of its proper divisors (135086119720).

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

103132020440 is a wasteful number, since it uses less digits than its factorization.

103132020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195672 (or 195668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103132020440 its reverse (44020231301), we get a palindrome (147152251741).

The spelling of 103132020440 in words is "one hundred three billion, one hundred thirty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 307 344 430 614 860 1228 1535 1720 2456 3070 6140 12280 13201 26402 52804 66005 105608 132010 195311 264020 390622 528040 781244 976555 1562488 1953110 3906220 7812440 8398373 16796746 33593492 41991865 59960477 67186984 83983730 119920954 167967460 239841908 299802385 335934920 479683816 599604770 1199209540 2398419080 2578300511 5156601022 10313202044 12891502555 20626404088 25783005110 51566010220 103132020440