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10337001040 = 245129212513
BaseRepresentation
bin10011010000010001…
…00001111001010000
3222200101220001122101
421220020201321100
5132132233013130
64425421450144
7514106026162
oct115010417120
928611801571
1010337001040
114424a70973
122005a10954
13c89771a82
14700c08932
1540777a1ca
hex268221e50

10337001040 has 20 divisors (see below), whose sum is σ = 24033527604. Its totient is φ = 4134800384.

The previous prime is 10337001029. The next prime is 10337001049. The reversal of 10337001040 is 4010073301.

It can be written as a sum of positive squares in 2 ways, for example, as 6092739136 + 4244261904 = 78056^2 + 65148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×103370010402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10337000999 and 10337001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10337001049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64606177 + ... + 64606336.

Almost surely, 210337001040 is an apocalyptic number.

10337001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10337001040 is an abundant number, since it is smaller than the sum of its proper divisors (13696526564).

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

10337001040 is a wasteful number, since it uses less digits than its factorization.

10337001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129212526 (or 129212520 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

Adding to 10337001040 its reverse (4010073301), we get a palindrome (14347074341).

The spelling of 10337001040 in words is "ten billion, three hundred thirty-seven million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 129212513 258425026 516850052 646062565 1033700104 1292125130 2067400208 2584250260 5168500520 10337001040