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1211311114031 = 171733793108587
BaseRepresentation
bin10001101000000111110…
…001001100011100101111
311021210121100120020102202
4101220013301030130233
5124321231121122111
62324245121012115
7153341263404614
oct21500761143457
94253540506382
101211311114031
114277945aa517
1217691578403b
138a2c2b01aa5
14428b086250b
1521797c31b3b
hex11a07c4c72f

1211311114031 has 16 divisors (see below), whose sum is σ = 1290330355104. Its totient is φ = 1133158324224.

The previous prime is 1211311114009. The next prime is 1211311114061. The reversal of 1211311114031 is 1304111131121.

It is a cyclic number.

It is not a de Polignac number, because 1211311114031 - 218 = 1211310851887 is a prime.

It is a super-2 number, since 2×12113111140312 (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 = 1211311113994 and 1211311114012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211311114061) 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, 11100920 + ... + 11209506.

It is an arithmetic number, because the mean of its divisors is an integer number (80645647194).

Almost surely, 21211311114031 is an apocalyptic number.

1211311114031 is a deficient number, since it is larger than the sum of its proper divisors (79019241073).

1211311114031 is a wasteful number, since it uses less digits than its factorization.

1211311114031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112570.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 1211311114031 its reverse (1304111131121), we get a palindrome (2515422245152).

The spelling of 1211311114031 in words is "one trillion, two hundred eleven billion, three hundred eleven million, one hundred fourteen thousand, thirty-one".

Divisors: 1 17 173 2941 3793 64481 108587 656189 1845979 11155213 18785551 319354367 411870491 7001798347 71253594943 1211311114031