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1041300013 = 132931139641
BaseRepresentation
bin111110000100001…
…111101000101101
32200120101112002011
4332010033220231
54113033100023
6251154401221
734542622045
oct7604175055
92616345064
101041300013
11494872126
12250890211
1313796a670
149c41c725
156163d50d
hex3e10fa2d

1041300013 has 32 divisors (see below), whose sum is σ = 1207987200. Its totient is φ = 890265600.

The previous prime is 1041299977. The next prime is 1041300019. The reversal of 1041300013 is 3100031401.

It is a cyclic number.

It is not a de Polignac number, because 1041300013 - 221 = 1039202861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1041299966 and 1041300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041300019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624173 + ... + 1624813.

It is an arithmetic number, because the mean of its divisors is an integer number (37749600).

Almost surely, 21041300013 is an apocalyptic number.

1041300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1041300013 is a deficient number, since it is larger than the sum of its proper divisors (166687187).

1041300013 is a wasteful number, since it uses less digits than its factorization.

1041300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1041300013 is about 32269.1805442902. The cubic root of 1041300013 is about 1013.5813820161.

Adding to 1041300013 its reverse (3100031401), we get a palindrome (4141331414).

The spelling of 1041300013 in words is "one billion, forty-one million, three hundred thousand, thirteen".

Divisors: 1 13 29 31 139 377 403 641 899 1807 4031 4309 8333 11687 18589 19871 52403 56017 89099 124961 241657 258323 576259 1158287 1624493 2583871 2762069 7491367 33590323 35906897 80100001 1041300013