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1311144204030 = 235181317761713
BaseRepresentation
bin10011000101000110010…
…010001101011011111110
311122100021220010200012120
4103011012102031123332
5132440210404012110
62442155322343410
7163504242564213
oct23050622153376
94570256120176
101311144204030
114660647a3671
1219213765ab66
1396842b717cb
1447661675b0a
152418c49b870
hex1314648d6fe

1311144204030 has 64 divisors (see below), whose sum is σ = 3174117081408. Its totient is φ = 346609428480.

The previous prime is 1311144203953. The next prime is 1311144204031. The reversal of 1311144204030 is 304024411131.

It is a super-2 number, since 2×13111442040302 (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 (1311144204031) 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, 1340454 + ... + 2102166.

It is an arithmetic number, because the mean of its divisors is an integer number (49595579397).

Almost surely, 21311144204030 is an apocalyptic number.

1311144204030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311144204030 is an abundant number, since it is smaller than the sum of its proper divisors (1862972877378).

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

1311144204030 is a wasteful number, since it uses less digits than its factorization.

1311144204030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762221.

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

Adding to 1311144204030 its reverse (304024411131), we get a palindrome (1615168615161).

The spelling of 1311144204030 in words is "one trillion, three hundred eleven billion, one hundred forty-four million, two hundred four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 181 317 362 543 634 905 951 1086 1585 1810 1902 2715 3170 4755 5430 9510 57377 114754 172131 286885 344262 573770 761713 860655 1523426 1721310 2285139 3808565 4570278 7617130 11425695 22851390 137870053 241463021 275740106 413610159 482926042 689350265 724389063 827220318 1207315105 1378700530 1448778126 2068050795 2414630210 3621945315 4136101590 7243890630 43704806801 87409613602 131114420403 218524034005 262228840806 437048068010 655572102015 1311144204030