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10002131233 = 232989168491
BaseRepresentation
bin10010101000010110…
…00110100100100001
3221211001202220121221
421110023012210201
5130441021144413
64332300215041
7502601466313
oct112413064441
927731686557
1010002131233
114272a40266
121b3183a481
13c35285563
146ac5597b3
153d817e68d
hex2542c6921

10002131233 has 16 divisors (see below), whose sum is σ = 10918281600. Its totient is φ = 9133505920.

The previous prime is 10002131207. The next prime is 10002131239. The reversal of 10002131233 is 33213120001.

It is not a de Polignac number, because 10002131233 - 25 = 10002131201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002131239) 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 15 ways as a sum of consecutive naturals, for example, 24883 + ... + 143608.

It is an arithmetic number, because the mean of its divisors is an integer number (682392600).

Almost surely, 210002131233 is an apocalyptic number.

It is an amenable number.

10002131233 is a deficient number, since it is larger than the sum of its proper divisors (916150367).

10002131233 is a wasteful number, since it uses less digits than its factorization.

10002131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168632.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10002131233 its reverse (33213120001), we get a palindrome (43215251234).

The spelling of 10002131233 in words is "ten billion, two million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 23 29 89 667 2047 2581 59363 168491 3875293 4886239 14995699 112383497 344901077 434875271 10002131233