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1012413401 = 6121571733
BaseRepresentation
bin111100010110000…
…011001111011001
32121120000221002122
4330112003033121
54033134212101
6244243311025
734042241366
oct7426031731
92546027078
101012413401
1147a53219a
1224307b475
131319953ac
149865d46d
155dd3451b
hex3c5833d9

1012413401 has 12 divisors (see below), whose sum is σ = 1036436076. Its totient is φ = 988902720.

The previous prime is 1012413383. The next prime is 1012413433. The reversal of 1012413401 is 1043142101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 458987776 + 553425625 = 21424^2 + 23525^2 .

It is a de Polignac number, because none of the positive numbers 2k-1012413401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012413401.

It is not an unprimeable number, because it can be changed into a prime (1012413491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583331 + ... + 585063.

It is an arithmetic number, because the mean of its divisors is an integer number (86369673).

Almost surely, 21012413401 is an apocalyptic number.

It is an amenable number.

1012413401 is a deficient number, since it is larger than the sum of its proper divisors (24022675).

1012413401 is an equidigital number, since it uses as much as digits as its factorization.

1012413401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1012413401 is about 31818.4443522935. Note that the first 3 decimals coincide. The cubic root of 1012413401 is about 1004.1207960482.

Adding to 1012413401 its reverse (1043142101), we get a palindrome (2055555502).

The spelling of 1012413401 in words is "one billion, twelve million, four hundred thirteen thousand, four hundred one".

Divisors: 1 61 157 1733 3721 9577 105713 272081 584197 6448493 16596941 1012413401