Search a number
-
+
1320132060900 = 223252382992
BaseRepresentation
bin10011001101011110000…
…000001010011011100100
311200012111021101002222100
4103031132000022123210
5133112112301422100
62450243231332100
7164243050241442
oct23153600123344
94605437332870
101320132060900
11469957150554
12193a25681030
1397645c5c903
1447c75209b92
152451657a400
hex1335e00a6e4

1320132060900 has 81 divisors (see below), whose sum is σ = 4137988648521. Its totient is φ = 352026024480.

The previous prime is 1320132060847. The next prime is 1320132060901. The reversal of 1320132060900 is 90602310231.

The square root of 1320132060900 is 1148970.

It is a perfect power (a square), and thus also a powerful number.

1320132060900 is a `hidden beast` number, since 1 + 3 + 20 + 1 + 32 + 0 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 475247541924 + 844884518976 = 689382^2 + 919176^2 .

It is not an unprimeable number, because it can be changed into a prime (1320132060901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34449951 + ... + 34488249.

Almost surely, 21320132060900 is an apocalyptic number.

1320132060900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1320132060900 is the 1148970-th square number.

It is an amenable number.

1320132060900 is an abundant number, since it is smaller than the sum of its proper divisors (2817856587621).

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

1320132060900 is an frugal number, since it uses more digits than its factorization.

1320132060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76618 (or 38309 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1320132060900 in words is "one trillion, three hundred twenty billion, one hundred thirty-two million, sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 38299 76598 114897 153196 191495 229794 344691 382990 459588 574485 689382 765980 957475 1148970 1378764 1723455 1914950 2297940 2872425 3446910 3829900 5744850 6893820 8617275 11489700 17234550 34469100 1466813401 2933626802 4400440203 5867253604 7334067005 8800880406 13201320609 14668134010 17601760812 22002201015 26402641218 29336268020 36670335025 44004402030 52805282436 66006603045 73340670050 88008804060 110011005075 132013206090 146681340100 220022010150 264026412180 330033015225 440044020300 660066030450 1320132060900