Search a number
-
+
1313021102310 = 232517858183727
BaseRepresentation
bin10011000110110110001…
…010000000100011100110
311122112010200211222121200
4103012312022000203212
5133003031400233220
62443105451023330
7163601613135651
oct23066612004346
94575120758550
101313021102310
11466938200075
1219258013ab46
1396a819771c8
144779ca48898
152424c144890
hex131b62808e6

1313021102310 has 48 divisors (see below), whose sum is σ = 3614669862336. Its totient is φ = 329542550784.

The previous prime is 1313021102297. The next prime is 1313021102347. The reversal of 1313021102310 is 132011203131.

1313021102310 is a `hidden beast` number, since 13 + 130 + 211 + 0 + 2 + 310 = 666.

It is a super-2 number, since 2×13130211023102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429090334 + ... + 429093393.

It is an arithmetic number, because the mean of its divisors is an integer number (75305622132).

Almost surely, 21313021102310 is an apocalyptic number.

1313021102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313021102310 is an abundant number, since it is smaller than the sum of its proper divisors (2301648760026).

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

1313021102310 is a wasteful number, since it uses less digits than its factorization.

1313021102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858183757 (or 858183754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313021102310 its reverse (132011203131), we get a palindrome (1445032305441).

The spelling of 1313021102310 in words is "one trillion, three hundred thirteen billion, twenty-one million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 858183727 1716367454 2574551181 4290918635 5149102362 7723653543 8581837270 12872755905 14589123359 15447307086 25745511810 29178246718 38618267715 43767370077 72945616795 77236535430 87534740154 131302110231 145891233590 218836850385 262604220462 437673700770 656510551155 1313021102310