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10311122201031 = 34413104824511
BaseRepresentation
bin1001011000001011111011…
…0001101010100111000111
31100111201210211112122010000
42112002332301222213013
52322414134240413111
633532510353332343
72112645135412011
oct226027661524707
940451724478100
1010311122201031
113315a167435a3
1211a6445b670b3
1359a4472c9472
142790bd4711b1
1512d338c7dc56
hex960bec6a9c7

10311122201031 has 20 divisors (see below), whose sum is σ = 15778718169984. Its totient is φ = 6706420941600.

The previous prime is 10311122201011. The next prime is 10311122201053. The reversal of 10311122201031 is 13010222111301.

10311122201031 is a `hidden beast` number, since 1 + 0 + 311 + 122 + 201 + 0 + 31 = 666.

It is not a de Polignac number, because 10311122201031 - 210 = 10311122200007 is a prime.

It is a super-2 number, since 2×103111222010312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10311122200995 and 10311122201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311122201011) 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 19 ways as a sum of consecutive naturals, for example, 1552408935 + ... + 1552415576.

Almost surely, 210311122201031 is an apocalyptic number.

10311122201031 is a deficient number, since it is larger than the sum of its proper divisors (5467595968953).

10311122201031 is an equidigital number, since it uses as much as digits as its factorization.

10311122201031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104824564 (or 3104824555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10311122201031 its reverse (13010222111301), we get a palindrome (23321344312332).

The spelling of 10311122201031 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million, two hundred one thousand, thirty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 3104824511 9314473533 27943420599 83830261797 127297804951 251490785391 381893414853 1145680244559 3437040733677 10311122201031