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1310132121030 = 2355599138119
BaseRepresentation
bin10011000100001001111…
…101011010110111000110
311122020200100201112100000
4103010021331122313012
5132431122310333110
62441511050102130
7163440203200005
oct23041175326706
94566610645300
101310132121030
11465695477737
12191ab471a946
1396711293925
14475a70a0c3c
152412d6d01c0
hex13109f5adc6

1310132121030 has 96 divisors (see below), whose sum is σ = 3592377734400. Its totient is φ = 343447026912.

The previous prime is 1310132121029. The next prime is 1310132121037. The reversal of 1310132121030 is 301212310131.

1310132121030 is a `hidden beast` number, since 1 + 3 + 101 + 321 + 210 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1310132120994 and 1310132121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310132121037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4425690 + ... + 4712429.

It is an arithmetic number, because the mean of its divisors is an integer number (37420601400).

Almost surely, 21310132121030 is an apocalyptic number.

1310132121030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310132121030 is an abundant number, since it is smaller than the sum of its proper divisors (2282245613370).

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

1310132121030 is an equidigital number, since it uses as much as digits as its factorization.

1310132121030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138200 (or 9138188 counting only the distinct ones).

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

Adding to 1310132121030 its reverse (301212310131), we get a palindrome (1611344431161).

The spelling of 1310132121030 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 243 270 295 354 405 486 531 590 810 885 1062 1215 1593 1770 2430 2655 3186 4779 5310 7965 9558 14337 15930 23895 28674 47790 71685 143370 9138119 18276238 27414357 45690595 54828714 82243071 91381190 137071785 164486142 246729213 274143570 411215355 493458426 539149021 740187639 822430710 1078298042 1233646065 1480375278 1617447063 2220562917 2467292130 2695745105 3234894126 3700938195 4441125834 4852341189 5391490210 7401876390 8087235315 9704682378 11102814585 14557023567 16174470630 22205629170 24261705945 29114047134 43671070701 48523411890 72785117835 87342141402 131013212103 145570235670 218355353505 262026424206 436710707010 655066060515 1310132121030