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1014122320431 = 311173748856883
BaseRepresentation
bin11101100000111100110…
…01101001001000101111
310120221121221001122010220
432300132121221020233
5113103410303223211
62053514212502423
7133160616331623
oct16603631511057
93527557048126
101014122320431
113610a56802a0
1214466361aa13
137482903486c
1437125c81183
151b5a64ac806
hexec1e66922f

1014122320431 has 32 divisors (see below), whose sum is σ = 1604069215488. Its totient is φ = 562831280640.

The previous prime is 1014122320427. The next prime is 1014122320439. The reversal of 1014122320431 is 1340232214101.

It is not a de Polignac number, because 1014122320431 - 22 = 1014122320427 is a prime.

It is a super-2 number, since 2×10141223204312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014122320439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24407685 + ... + 24449198.

It is an arithmetic number, because the mean of its divisors is an integer number (50127162984).

Almost surely, 21014122320431 is an apocalyptic number.

1014122320431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014122320431 is a deficient number, since it is larger than the sum of its proper divisors (589946895057).

1014122320431 is a wasteful number, since it uses less digits than its factorization.

1014122320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48856951.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1014122320431 its reverse (1340232214101), we get a palindrome (2354354534532).

The spelling of 1014122320431 in words is "one trillion, fourteen billion, one hundred twenty-two million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 48856883 146570649 537425713 830567011 1612277139 1807704671 2491701033 5423114013 9136237121 19884751381 27408711363 30730979407 59654254143 92192938221 338040773477 1014122320431