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130242242031 = 31112013286207
BaseRepresentation
bin111100101001100001…
…0101110010111101111
3110110011210202102012220
41321103002232113233
54113214003221111
6135455451130423
712260344535226
oct1712302562757
9413153672186
10130242242031
1150265394160
12212a9a43a13
13c38812c005
146437725cbd
1535c4263e06
hex1e530ae5ef

130242242031 has 16 divisors (see below), whose sum is σ = 189601056768. Its totient is φ = 78868944000.

The previous prime is 130242242027. The next prime is 130242242047.

It is a happy number.

130242242031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130242242031 - 22 = 130242242027 is a prime.

It is a super-2 number, since 2×1302422420312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130242241992 and 130242242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130242249031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603471 + ... + 1682736.

It is an arithmetic number, because the mean of its divisors is an integer number (11850066048).

Almost surely, 2130242242031 is an apocalyptic number.

130242242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130242242031 is a deficient number, since it is larger than the sum of its proper divisors (59358814737).

130242242031 is a wasteful number, since it uses less digits than its factorization.

130242242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287422.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 130242 and 242031, that added together give a palindrome (372273).

The spelling of 130242242031 in words is "one hundred thirty billion, two hundred forty-two million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 11 33 1201 3603 13211 39633 3286207 9858621 36148277 108444831 3946734607 11840203821 43414080677 130242242031