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10222302130031 = 231277789449299
BaseRepresentation
bin1001010011000001000010…
…1011111110111101101111
31100012020112210220112021202
42110300100223332331233
52314440233321130111
633424021043120115
72103352114310465
oct224602053767557
940166483815252
1010222302130031
11329128806a642
12119119837303b
13591c60a91b34
14274a9515a835
1512ad8b2c5b3b
hex94c10afef6f

10222302130031 has 16 divisors (see below), whose sum is σ = 10752144384000. Its totient is φ = 9699596188128.

The previous prime is 10222302129989. The next prime is 10222302130063. The reversal of 10222302130031 is 13003120322201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222302130031 is a prime.

It is a super-2 number, since 2×102223021300312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222302129985 and 10222302130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222302120031) 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, 22527020 + ... + 22976318.

It is an arithmetic number, because the mean of its divisors is an integer number (672009024000).

Almost surely, 210222302130031 is an apocalyptic number.

10222302130031 is a deficient number, since it is larger than the sum of its proper divisors (529842253969).

10222302130031 is a wasteful number, since it uses less digits than its factorization.

10222302130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457238.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10222302130031 its reverse (13003120322201), we get a palindrome (23225422452232).

The spelling of 10222302130031 in words is "ten trillion, two hundred twenty-two billion, three hundred two million, one hundred thirty thousand, thirty-one".

Divisors: 1 23 127 2921 7789 179147 449299 989203 10333877 22751669 57060973 1312402379 3499589911 80490567953 444447918697 10222302130031