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1013212133323 = 13234491738283
BaseRepresentation
bin11101011111010000010…
…01100011011111001011
310120212021111101100011021
432233220021203133023
5113100024301231243
62053244020213311
7133126225014115
oct16575011433713
93525244340137
101013212133323
11360778920245
1214444a83a237
13747125b2400
143707b0323b5
151b55161c6ed
hexebe82637cb

1013212133323 has 12 divisors (see below), whose sum is σ = 1097465603400. Its totient is φ = 935001028416.

The previous prime is 1013212133299. The next prime is 1013212133333. The reversal of 1013212133323 is 3233312123101.

It is a de Polignac number, because none of the positive numbers 2k-1013212133323 is a prime.

It is a super-2 number, since 2×10132121333232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013212133333) 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, 286261 + ... + 1452022.

It is an arithmetic number, because the mean of its divisors is an integer number (91455466950).

Almost surely, 21013212133323 is an apocalyptic number.

1013212133323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1013212133323 is a deficient number, since it is larger than the sum of its proper divisors (84253470077).

1013212133323 is a wasteful number, since it uses less digits than its factorization.

1013212133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741758 (or 1741745 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1013212133323 its reverse (3233312123101), we get a palindrome (4246524256424).

The spelling of 1013212133323 in words is "one trillion, thirteen billion, two hundred twelve million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 13 169 3449 44837 582881 1738283 22597679 293769827 5995338067 77939394871 1013212133323