Search a number
-
+
120430401531 = 3115389853907
BaseRepresentation
bin111000000101000110…
…1100001011111111011
3102111212000001021101220
41300022031201133323
53433120140322111
6131154105243123
711462243344236
oct1601215413773
9374760037356
10120430401531
114708a905170
121b40ba934a3
13b48341162b
145b8658241d
1531ecb71e06
hex1c0a3617fb

120430401531 has 64 divisors (see below), whose sum is σ = 180892776960. Its totient is φ = 70645386240.

The previous prime is 120430401467. The next prime is 120430401541. The reversal of 120430401531 is 135104034021.

It is a happy number.

It is not a de Polignac number, because 120430401531 - 26 = 120430401467 is a prime.

It is a super-2 number, since 2×1204304015312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120430401541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132778380 + ... + 132779286.

It is an arithmetic number, because the mean of its divisors is an integer number (2826449640).

Almost surely, 2120430401531 is an apocalyptic number.

120430401531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120430401531 is a deficient number, since it is larger than the sum of its proper divisors (60462375429).

120430401531 is a wasteful number, since it uses less digits than its factorization.

120430401531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 120430401531 its reverse (135104034021), we get a palindrome (255534435552).

The spelling of 120430401531 in words is "one hundred twenty billion, four hundred thirty million, four hundred one thousand, five hundred thirty-one".

Divisors: 1 3 11 33 53 89 159 267 583 853 907 979 1749 2559 2721 2937 4717 9383 9977 14151 28149 29931 45209 48071 51887 75917 80723 135627 144213 155661 227751 242169 497299 528781 773671 835087 887953 1491897 1586343 2321013 2505261 2663859 4023601 4278319 8510381 12070803 12834957 25531143 41004563 44259611 47061509 68856719 123013689 132778833 141184527 206570157 451050193 757423909 1353150579 2272271727 3649406107 10948218321 40143467177 120430401531