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1302313210120 = 2351319312976417
BaseRepresentation
bin10010111100110111111…
…010101001000100001000
311121111111110001200222001
4102330313322221010020
5132314114140210440
62434135135440344
7163042351432246
oct22746772510410
94544443050861
101302313210120
1146234294619a
121904920860b4
1395a66416320
1447064895796
1523d22055b9a
hex12f37ea9108

1302313210120 has 64 divisors (see below), whose sum is σ = 3171955615920. Its totient is φ = 478362599424.

The previous prime is 1302313210091. The next prime is 1302313210147. The reversal of 1302313210120 is 210123132031.

It can be written as a sum of positive squares in 8 ways, for example, as 604857731076 + 697455479044 = 777726^2 + 835138^2 .

It is a super-3 number, since 3×13023132101203 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387849 + ... + 6588568.

Almost surely, 21302313210120 is an apocalyptic number.

1302313210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302313210120 is an abundant number, since it is smaller than the sum of its proper divisors (1869642405800).

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

1302313210120 is a wasteful number, since it uses less digits than its factorization.

1302313210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976634 (or 12976630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1302313210120 its reverse (210123132031), we get a palindrome (1512436342151).

The spelling of 1302313210120 in words is "one trillion, three hundred two billion, three hundred thirteen million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 193 260 386 520 772 965 1544 1930 2509 3860 5018 7720 10036 12545 20072 25090 50180 100360 12976417 25952834 51905668 64882085 103811336 129764170 168693421 259528340 337386842 519056680 674773684 843467105 1349547368 1686934210 2504448481 3373868420 5008896962 6747736840 10017793924 12522242405 20035587848 25044484810 32557830253 50088969620 65115660506 100177939240 130231321012 162789151265 260462642024 325578302530 651156605060 1302313210120