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1041513120 = 253351912689
BaseRepresentation
bin111110000101000…
…011101010100000
32200120210100102000
4332011003222200
54113111404440
6251203124000
734544500254
oct7605035240
92616710360
101041513120
114949a824a
12250973600
13137a1366b
149c476264
1561681730
hex3e143aa0

1041513120 has 192 divisors, whose sum is σ = 3837456000. Its totient is φ = 263098368.

The previous prime is 1041513097. The next prime is 1041513131. The reversal of 1041513120 is 213151401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1041513093 and 1041513102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75736 + ... + 88424.

It is an arithmetic number, because the mean of its divisors is an integer number (19986750).

Almost surely, 21041513120 is an apocalyptic number.

1041513120 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 1041513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918728000).

1041513120 is an abundant number, since it is smaller than the sum of its proper divisors (2795942880).

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

1041513120 is a wasteful number, since it uses less digits than its factorization.

1041513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1041513120 is about 32272.4823959980. The cubic root of 1041513120 is about 1013.6505220498.

Adding to 1041513120 its reverse (213151401), we get a palindrome (1254664521).

The spelling of 1041513120 in words is "one billion, forty-one million, five hundred thirteen thousand, one hundred twenty".