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3131022220001 = 131931247916389
BaseRepresentation
bin101101100011111111011…
…101111001101011100001
3102002022201022200200021222
4231203333131321223201
5402244313142020001
610354212144224425
7442131435515504
oct55437735715341
912068638620258
103131022220001
11aa794a465925
1242699100b115
1319933c421630
14ab78405513b
15566a21c761b
hex2d8ff779ae1

3131022220001 has 8 divisors (see below), whose sum is σ = 3389340915240. Its totient is φ = 2875199357952.

The previous prime is 3131022219977. The next prime is 3131022220063. The reversal of 3131022220001 is 1000222201313.

It can be written as a sum of positive squares in 4 ways, for example, as 290283888400 + 2840738331601 = 538780^2 + 1685449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131022220001 is a prime.

It is a super-5 number, since 5×31310222200015 (a number of 64 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131022240001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623955686 + ... + 623960703.

It is an arithmetic number, because the mean of its divisors is an integer number (423667614405).

Almost surely, 23131022220001 is an apocalyptic number.

It is an amenable number.

3131022220001 is a deficient number, since it is larger than the sum of its proper divisors (258318695239).

3131022220001 is a wasteful number, since it uses less digits than its factorization.

3131022220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247916595.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3131022220001 its reverse (1000222201313), we get a palindrome (4131244421314).

The spelling of 3131022220001 in words is "three trillion, one hundred thirty-one billion, twenty-two million, two hundred twenty thousand, one".

Divisors: 1 13 193 2509 1247916389 16222913057 240847863077 3131022220001