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1220002012031 = 11239601772139
BaseRepresentation
bin10001110000001101110…
…010010101101101111111
311022122001001000121012212
4101300031302111231333
5124442031003341111
62332243341051035
7154066533666635
oct21601562255577
94278031017185
101220002012031
1143044436a850
12178540256a7b
138b07951839a
1443096bb5355
1521b05c0298b
hex11c0dc95b7f

1220002012031 has 16 divisors (see below), whose sum is σ = 1338705446400. Its totient is φ = 1102613064000.

The previous prime is 1220002012001. The next prime is 1220002012067. The reversal of 1220002012031 is 1302102000221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1220002012031 - 214 = 1220001995647 is a prime.

It is a super-2 number, since 2×12200020120312 (a number of 25 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 = 1220002011997 and 1220002012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220002012001) 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 15 ways as a sum of consecutive naturals, for example, 1193960 + ... + 1966098.

It is an arithmetic number, because the mean of its divisors is an integer number (83669090400).

Almost surely, 21220002012031 is an apocalyptic number.

1220002012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1220002012031 is a deficient number, since it is larger than the sum of its proper divisors (118703434369).

1220002012031 is a wasteful number, since it uses less digits than its factorization.

1220002012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772990.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1220002012031 its reverse (1302102000221), we get a palindrome (2522104012252).

The spelling of 1220002012031 in words is "one trillion, two hundred twenty billion, two million, twelve thousand, thirty-one".

Divisors: 1 11 239 601 2629 6611 143639 772139 1580029 8493529 184541221 464055539 2029953431 5104610929 110909273821 1220002012031