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130431310422 = 23721913676329
BaseRepresentation
bin111100101111001001…
…1111101101001010110
3110110122222112002021220
41321132103331221112
54114110403413142
6135530323351210
712265131563100
oct1713623755126
9413588462256
10130431310422
1150352090026
1221341222506
13c3b83596ba
1464548a0570
1535d5b5e2ec
hex1e5e4fda56

130431310422 has 96 divisors (see below), whose sum is σ = 305920696320. Its totient is φ = 36964126080.

The previous prime is 130431310421. The next prime is 130431310423. The reversal of 130431310422 is 224013134031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130431310421) and next prime (130431310423).

It is a junction number, because it is equal to n+sod(n) for n = 130431310392 and 130431310401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130431310421) 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 47 ways as a sum of consecutive naturals, for example, 20605354 + ... + 20611682.

It is an arithmetic number, because the mean of its divisors is an integer number (3186673920).

Almost surely, 2130431310422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130431310422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152960348160).

130431310422 is an abundant number, since it is smaller than the sum of its proper divisors (175489385898).

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

130431310422 is a wasteful number, since it uses less digits than its factorization.

130431310422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130431310422 its reverse (224013134031), we get a palindrome (354444444453).

The spelling of 130431310422 in words is "one hundred thirty billion, four hundred thirty-one million, three hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 191 294 367 382 573 734 1101 1146 1337 2202 2569 2674 4011 5138 6329 7707 8022 9359 12658 15414 17983 18718 18987 28077 35966 37974 44303 53949 56154 70097 88606 107898 132909 140194 210291 265818 310121 420582 490679 620242 930363 981358 1208839 1472037 1860726 2322743 2417678 2944074 3434753 3626517 4645486 6869506 6968229 7253034 8461873 10304259 13936458 16259201 16923746 20608518 25385619 32518402 48777603 50771238 59233111 97555206 113814407 118466222 177699333 227628814 341443221 355398666 443643913 682886442 887287826 1330931739 2661863478 3105507391 6211014782 9316522173 18633044346 21738551737 43477103474 65215655211 130431310422