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1310232130000 = 2454809161957
BaseRepresentation
bin10011000100001111111…
…010111011000111010000
311122020221022220111211221
4103010033322323013100
5132431323411130000
62441525021414424
7163442526230233
oct23041772730720
94566838814757
101310232130000
11465736974982
12191b2210a414
1396728c0b531
14475b649541a
152413738761a
hex1310febb1d0

1310232130000 has 100 divisors (see below), whose sum is σ = 3176143761780. Its totient is φ = 523441792000.

The previous prime is 1310232129989. The next prime is 1310232130037. The reversal of 1310232130000 is 312320131.

It can be written as a sum of positive squares in 10 ways, for example, as 352237502016 + 957994627984 = 593496^2 + 978772^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8009022 + ... + 8170978.

Almost surely, 21310232130000 is an apocalyptic number.

1310232130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310232130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588071880890).

1310232130000 is an abundant number, since it is smaller than the sum of its proper divisors (1865911631780).

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

1310232130000 is an equidigital number, since it uses as much as digits as its factorization.

1310232130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162794 (or 162773 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1310232130000 its reverse (312320131), we get a palindrome (1310544450131).

The spelling of 1310232130000 in words is "one trillion, three hundred ten billion, two hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 809 1000 1250 1618 2000 2500 3236 4045 5000 6472 8090 10000 12944 16180 20225 32360 40450 64720 80900 101125 161800 161957 202250 323600 323914 404500 505625 647828 809000 809785 1011250 1295656 1618000 1619570 2022500 2591312 3239140 4045000 4048925 6478280 8090000 8097850 12956560 16195700 20244625 32391400 40489250 64782800 80978500 101223125 131023213 161957000 202446250 262046426 323914000 404892500 524092852 655116065 809785000 1048185704 1310232130 1619570000 2096371408 2620464260 3275580325 5240928520 6551160650 10481857040 13102321300 16377901625 26204642600 32755803250 52409285200 65511606500 81889508125 131023213000 163779016250 262046426000 327558032500 655116065000 1310232130000