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1312223222031 = 343179160735363
BaseRepresentation
bin10011000110000110100…
…110010101100100001111
311122110002002111110122020
4103012012212111210033
5132444413121101111
62442454345421223
7163543054231251
oct23060646254417
94573062443566
101312223222031
11466568887887
12192398a9a813
13969855870b7
1447724ab1cd1
152420208a906
hex1318699590f

1312223222031 has 32 divisors (see below), whose sum is σ = 1801493084160. Its totient is φ = 849144594144.

The previous prime is 1312223222003. The next prime is 1312223222053. The reversal of 1312223222031 is 1302223222131.

It is a de Polignac number, because none of the positive numbers 2k-1312223222031 is a prime.

It is a super-2 number, since 2×13122232220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312223221992 and 1312223222010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312223222131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37089556 + ... + 37124918.

It is an arithmetic number, because the mean of its divisors is an integer number (56296658880).

Almost surely, 21312223222031 is an apocalyptic number.

1312223222031 is a deficient number, since it is larger than the sum of its proper divisors (489269862129).

1312223222031 is a wasteful number, since it uses less digits than its factorization.

1312223222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37195.

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

Adding to 1312223222031 its reverse (1302223222131), we get a palindrome (2614446444162).

The spelling of 1312223222031 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 43 129 179 537 1607 4821 7697 23091 35363 69101 106089 207303 287653 862959 1520609 4561827 6329977 12369079 18989931 37107237 56828341 170485023 272189011 816567033 2443618663 7330855989 10172273039 30516819117 437407740677 1312223222031