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10312144011411 = 3113780683104677
BaseRepresentation
bin1001011000001111101110…
…1011100100000010010011
31100111211110001020222102220
42112003323223210002103
52322423232331331121
633533200014312123
72113012353562014
oct226037353440223
940454401228386
1010312144011411
1133163a0503890
1211a66901b8643
1359a57ac01aa8
1427917905900b
1512d39881c6c6
hex960fbae4093

10312144011411 has 32 divisors (see below), whose sum is σ = 15405211707648. Its totient is φ = 6080737703040.

The previous prime is 10312144011391. The next prime is 10312144011443. The reversal of 10312144011411 is 11411044121301.

It is a happy number.

It is not a de Polignac number, because 10312144011411 - 213 = 10312144003219 is a prime.

It is a super-2 number, since 2×103121440114112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10312144011811) 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, 98461605 + ... + 98566281.

It is an arithmetic number, because the mean of its divisors is an integer number (481412865864).

Almost surely, 210312144011411 is an apocalyptic number.

10312144011411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10312144011411 is a deficient number, since it is larger than the sum of its proper divisors (5093067696237).

10312144011411 is a wasteful number, since it uses less digits than its factorization.

10312144011411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185411.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10312144011411 its reverse (11411044121301), we get a palindrome (21723188132712).

The spelling of 10312144011411 in words is "ten trillion, three hundred twelve billion, one hundred forty-four million, eleven thousand, four hundred eleven".

Divisors: 1 3 11 33 37 111 407 1221 80683 104677 242049 314031 887513 1151447 2662539 2985271 3454341 3873049 8955813 11619147 32837981 42603539 98513943 127810617 8445654391 25336963173 92902198301 278706594903 312489212467 937467637401 3437381337137 10312144011411