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103133441024 = 210421239231
BaseRepresentation
bin110000000001100111…
…0110110110000000000
3100212012112202122020222
41200003032312300000
53142204130103044
6115213455322212
710310512533035
oct1400316666000
9325175678228
10103133441024
113a814158789
1217ba3220368
139957a45a63
144dc528138c
152a3938b8ee
hex18033b6c00

103133441024 has 44 divisors (see below), whose sum is σ = 206656735488. Its totient is φ = 51444019200.

The previous prime is 103133440997. The next prime is 103133441027. The reversal of 103133441024 is 420144331301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103133440984 and 103133441002.

It is not an unprimeable number, because it can be changed into a prime (103133441027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311489 + ... + 550719.

Almost surely, 2103133441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103328367744).

103133441024 is an abundant number, since it is smaller than the sum of its proper divisors (103523294464).

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

103133441024 is an equidigital number, since it uses as much as digits as its factorization.

103133441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239672 (or 239654 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103133441024 its reverse (420144331301), we get a palindrome (523277772325).

The spelling of 103133441024 in words is "one hundred three billion, one hundred thirty-three million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 421 512 842 1024 1684 3368 6736 13472 26944 53888 107776 215552 239231 431104 478462 956924 1913848 3827696 7655392 15310784 30621568 61243136 100716251 122486272 201432502 244972544 402865004 805730008 1611460016 3222920032 6445840064 12891680128 25783360256 51566720512 103133441024