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120340303801 = 41284612
BaseRepresentation
bin111000000010011010…
…1110100111110111001
3102111121201111211112221
41300010311310332321
53432424104210201
6131141130204041
711460100463524
oct1600465647671
9374551454487
10120340303801
1147043a67433
121b3a5883621
13b46a857073
145b7860bbbb
1531e4cc64a1
hex1c04d74fb9

120340303801 has 9 divisors (see below), whose sum is σ = 123361601709. Its totient is φ = 117391298400.

The previous prime is 120340303789. The next prime is 120340303823. The reversal of 120340303801 is 108303043021.

The square root of 120340303801 is 346901.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4508988201 + 115831315600 = 67149^2 + 340340^2 .

It is not a de Polignac number, because 120340303801 - 27 = 120340303673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120340303871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14218711 + ... + 14227171.

Almost surely, 2120340303801 is an apocalyptic number.

120340303801 is the 346901-st square number.

120340303801 is the 173451-st centered octagonal number.

It is an amenable number.

120340303801 is a deficient number, since it is larger than the sum of its proper divisors (3021297908).

120340303801 is an frugal number, since it uses more digits than its factorization.

120340303801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17004 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 120340303801 by its sum of digits (25), we get a square (3008507595025 = 17345052).

Adding to 120340303801 its reverse (108303043021), we get a palindrome (228643346822).

The spelling of 120340303801 in words is "one hundred twenty billion, three hundred forty million, three hundred three thousand, eight hundred one".

Divisors: 1 41 1681 8461 346901 14222941 71588521 2935129361 120340303801