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11310100002 = 2325576011877
BaseRepresentation
bin10101000100010001…
…00110111000100010
31002012012221121110200
422202020212320202
5141130341200002
65110142410030
7550163156325
oct124210467042
932165847420
1011310100002
114884290593
122237890916
1310b3250686
147941527bc
15462de5b1c
hex2a2226e22

11310100002 has 48 divisors (see below), whose sum is σ = 24603159672. Its totient is φ = 3755001600.

The previous prime is 11310100001. The next prime is 11310100003. The reversal of 11310100002 is 20000101311.

It is an interprime number because it is at equal distance from previous prime (11310100001) and next prime (11310100003).

It can be written as a sum of positive squares in 4 ways, for example, as 9722157201 + 1587942801 = 98601^2 + 39849^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11310100001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6024688 + ... + 6026564.

Almost surely, 211310100002 is an apocalyptic number.

11310100002 is an abundant number, since it is smaller than the sum of its proper divisors (13293059670).

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

11310100002 is a wasteful number, since it uses less digits than its factorization.

11310100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11310100002 its reverse (20000101311), we get a palindrome (31310201313).

The spelling of 11310100002 in words is "eleven billion, three hundred ten million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 557 601 1114 1202 1671 1803 1877 3342 3606 3754 5013 5409 5631 10026 10818 11262 16893 33786 334757 669514 1004271 1045489 1128077 2008542 2090978 2256154 3012813 3136467 3384231 6025626 6272934 6768462 9409401 10152693 18818802 20305386 628338889 1256677778 1885016667 3770033334 5655050001 11310100002