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10341210312 = 2332143627921
BaseRepresentation
bin10011010000110001…
…00101100011001000
3222200200210220200100
421220120211203020
5132134322212222
64430052005400
7514156560126
oct115030454310
928620726610
1010341210312
114427386404
122007300860
13c8a5b6974
147015c2916
15407d0c4ac
hex2686258c8

10341210312 has 24 divisors (see below), whose sum is σ = 28007444790. Its totient is φ = 3447070080.

The previous prime is 10341210307. The next prime is 10341210337. The reversal of 10341210312 is 21301214301.

10341210312 is a `hidden beast` number, since 1 + 0 + 341 + 2 + 10 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9159638436 + 1181571876 = 95706^2 + 34374^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 71813889 + ... + 71814032.

Almost surely, 210341210312 is an apocalyptic number.

10341210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10341210312 is an abundant number, since it is smaller than the sum of its proper divisors (17666234478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10341210312 is a wasteful number, since it uses less digits than its factorization.

10341210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143627933 (or 143627926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10341210312 its reverse (21301214301), we get a palindrome (31642424613).

It can be divided in two parts, 1034 and 1210312, that added together give a triangular number (1211346 = T1556).

The spelling of 10341210312 in words is "ten billion, three hundred forty-one million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 143627921 287255842 430883763 574511684 861767526 1149023368 1292651289 1723535052 2585302578 3447070104 5170605156 10341210312