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10031020102233 = 321385735214549
BaseRepresentation
bin1001000111111000011101…
…1000111101001001011001
31022111221211001000201101200
42101332013120331021121
52303322012121232413
633200104221304413
72053501013020164
oct221760730751131
938457731021350
1010031020102233
11321814a380a49
1211600b4405109
13579bc89785c0
1426970ac38adb
15125de33be573
hex91f8763d259

10031020102233 has 12 divisors (see below), whose sum is σ = 15603809048100. Its totient is φ = 6172935447456.

The previous prime is 10031020102231. The next prime is 10031020102297. The reversal of 10031020102233 is 33220102013001.

10031020102233 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 20 + 102 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427386447504 + 9603633654729 = 653748^2 + 3098973^2 .

It is not a de Polignac number, because 10031020102233 - 21 = 10031020102231 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10031020102231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42867607158 + ... + 42867607391.

It is an arithmetic number, because the mean of its divisors is an integer number (1300317420675).

Almost surely, 210031020102233 is an apocalyptic number.

10031020102233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10031020102233 is a deficient number, since it is larger than the sum of its proper divisors (5572788945867).

10031020102233 is a wasteful number, since it uses less digits than its factorization.

10031020102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85735214568 (or 85735214565 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031020102233 its reverse (33220102013001), we get a palindrome (43251122115234).

The spelling of 10031020102233 in words is "ten trillion, thirty-one billion, twenty million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 85735214549 257205643647 771616930941 1114557789137 3343673367411 10031020102233