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10013122233 = 342931137507
BaseRepresentation
bin10010101001101010…
…00001111010111001
3221211211110022110000
421110311001322321
5131001324402413
64333331543213
7503064064122
oct112465017271
927754408400
1010013122233
114279167a34
121b3545ab09
13c376331ca
146adbbb049
153d9101073
hex254d41eb9

10013122233 has 40 divisors (see below), whose sum is σ = 15972929280. Its totient is φ = 6237272160.

The previous prime is 10013122219. The next prime is 10013122253. The reversal of 10013122233 is 33222131001.

10013122233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10013122233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10013122253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4066 + ... + 141572.

It is an arithmetic number, because the mean of its divisors is an integer number (399323232).

Almost surely, 210013122233 is an apocalyptic number.

It is an amenable number.

10013122233 is a deficient number, since it is larger than the sum of its proper divisors (5959807047).

10013122233 is a wasteful number, since it uses less digits than its factorization.

10013122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137579 (or 137570 counting only the distinct ones).

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

Adding to 10013122233 its reverse (33222131001), we get a palindrome (43235253234).

The spelling of 10013122233 in words is "ten billion, thirteen million, one hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 29 31 81 87 93 261 279 783 837 899 2349 2511 2697 8091 24273 72819 137507 412521 1237563 3712689 3987703 4262717 11138067 11963109 12788151 35889327 38364453 107667981 115093359 123618793 323003943 345280077 370856379 1112569137 3337707411 10013122233