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1036813401 = 321353612741
BaseRepresentation
bin111101110011001…
…000010001011001
32200020221120121100
4331303020101121
54110411012101
6250514302013
734456524411
oct7563102131
92606846540
101036813401
11492288288
1224b287909
13136a59470
149b9b1641
1561053e86
hex3dcc8459

1036813401 has 48 divisors (see below), whose sum is σ = 1670799312. Its totient is φ = 615513600.

The previous prime is 1036813381. The next prime is 1036813411. The reversal of 1036813401 is 1043186301.

1036813401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 227979801 + 808833600 = 15099^2 + 28440^2 .

It is not a de Polignac number, because 1036813401 - 25 = 1036813369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1036813411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376891 + ... + 379631.

It is an arithmetic number, because the mean of its divisors is an integer number (34808319).

Almost surely, 21036813401 is an apocalyptic number.

It is an amenable number.

1036813401 is a deficient number, since it is larger than the sum of its proper divisors (633985911).

1036813401 is a wasteful number, since it uses less digits than its factorization.

1036813401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1036813401 is about 32199.5869694007. The cubic root of 1036813401 is about 1012.1235590073.

Adding to 1036813401 its reverse (1043186301), we get a palindrome (2079999702).

The spelling of 1036813401 in words is "one billion, thirty-six million, eight hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 13 39 53 61 117 159 183 477 549 689 793 2067 2379 2741 3233 6201 7137 8223 9699 24669 29097 35633 42029 106899 126087 145273 167201 320697 378261 435819 501603 1307457 1504809 1888549 2173613 5665647 6520839 8861653 16996941 19562517 26584959 79754877 115201489 345604467 1036813401