Search a number
-
+
130111020222432 = 2532677506284321
BaseRepresentation
bin11101100101010111010101…
…001001000100011111100000
3122001200111021201010221012220
4131211113111021010133200
5114023214332134104212
61140420102202351040
736256132242056364
oct3545272511043740
9561614251127186
10130111020222432
1138503856a23577
12127144794bb480
13577a55524c9b2
14241b59aa752a4
15100974601938c
hex7655d52447e0

130111020222432 has 48 divisors (see below), whose sum is σ = 341669012407632. Its totient is φ = 43354138890240.

The previous prime is 130111020222431. The next prime is 130111020222481. The reversal of 130111020222432 is 234222020111031.

130111020222432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130111020222431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252885169 + ... + 253399152.

It is an arithmetic number, because the mean of its divisors is an integer number (7118104425159).

Almost surely, 2130111020222432 is an apocalyptic number.

130111020222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130111020222432 is an abundant number, since it is smaller than the sum of its proper divisors (211557992185200).

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

130111020222432 is a wasteful number, since it uses less digits than its factorization.

130111020222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506287011 (or 506287003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130111020222432 its reverse (234222020111031), we get a palindrome (364333040333463).

The spelling of 130111020222432 in words is "one hundred thirty trillion, one hundred eleven billion, twenty million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2677 5354 8031 10708 16062 21416 32124 42832 64248 85664 128496 256992 506284321 1012568642 1518852963 2025137284 3037705926 4050274568 6075411852 8100549136 12150823704 16201098272 24301647408 48603294816 1355323127317 2710646254634 4065969381951 5421292509268 8131938763902 10842585018536 16263877527804 21685170037072 32527755055608 43370340074144 65055510111216 130111020222432