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10293581233 = 1329833131051
BaseRepresentation
bin10011001011000101…
…11001010110110001
3222120101012002212101
421211202321112301
5132040124044413
64421231100401
7513040665625
oct114542712661
928511162771
1010293581233
114402504a31
121bb3371701
13c8077b790
146d9145185
15403a4eedd
hex2658b95b1

10293581233 has 32 divisors (see below), whose sum is σ = 11653971840. Its totient is φ = 9026035200.

The previous prime is 10293581203. The next prime is 10293581257. The reversal of 10293581233 is 33218539201.

10293581233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10293581233 - 25 = 10293581201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10293581192 and 10293581201.

It is not an unprimeable number, because it can be changed into a prime (10293581203) 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 31 ways as a sum of consecutive naturals, for example, 9793558 + ... + 9794608.

It is an arithmetic number, because the mean of its divisors is an integer number (364186620).

Almost surely, 210293581233 is an apocalyptic number.

10293581233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10293581233 is a deficient number, since it is larger than the sum of its proper divisors (1360390607).

10293581233 is a wasteful number, since it uses less digits than its factorization.

10293581233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10293581233 in words is "ten billion, two hundred ninety-three million, five hundred eighty-one thousand, two hundred thirty-three".

Divisors: 1 13 29 83 313 377 1051 1079 2407 4069 9077 13663 25979 30479 31291 87233 118001 328963 337727 396227 753391 1134029 2529757 4276519 9539927 9794083 27303929 32886841 124019051 354951077 791813941 10293581233