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10130301444340 = 22571122926710613
BaseRepresentation
bin1001001101101010010100…
…0001001110000011110100
31022212110002010101110100101
42103122211001032003310
52311433324132204330
633313443553123444
72063614212345160
oct223324501160364
938773063343311
1010130301444340
113256267083800
1211773a1559584
1358638b61538c
14270448665ca0
151287a449d4ca
hex936a504e0f4

10130301444340 has 432 divisors, whose sum is σ = 28092932090496. Its totient is φ = 3002832645120.

The previous prime is 10130301444323. The next prime is 10130301444421. The reversal of 10130301444340 is 4344410303101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10130301444299 and 10130301444308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 954512874 + ... + 954523486.

Almost surely, 210130301444340 is an apocalyptic number.

10130301444340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130301444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046466045248).

10130301444340 is an abundant number, since it is smaller than the sum of its proper divisors (17962630646156).

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

10130301444340 is a wasteful number, since it uses less digits than its factorization.

10130301444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10130301444340 its reverse (4344410303101), we get a palindrome (14474711747441).

The spelling of 10130301444340 in words is "ten trillion, one hundred thirty billion, three hundred one million, four hundred forty-four thousand, three hundred forty".