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10311103110231 = 3272112941172271
BaseRepresentation
bin1001011000001011110110…
…1000110101110001010111
31100111201202111121201110100
42112002331220311301113
52322414114344011411
633532504432225143
72112644514220500
oct226027550656127
940451674551410
1010311103110231
113315a06994380
1211a643b69b1b3
1359a443373b31
142790bab01ba7
1512d33725c456
hex960bda35c57

10311103110231 has 72 divisors (see below), whose sum is σ = 18901404857088. Its totient is φ = 5356160964000.

The previous prime is 10311103110229. The next prime is 10311103110257. The reversal of 10311103110231 is 13201130111301.

10311103110231 is a `hidden beast` number, since 1 + 0 + 311 + 10 + 3 + 110 + 231 = 666.

It is not a de Polignac number, because 10311103110231 - 21 = 10311103110229 is a prime.

It is a super-2 number, since 2×103111031102312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311103110271) 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 71 ways as a sum of consecutive naturals, for example, 142636626 + ... + 142708896.

It is an arithmetic number, because the mean of its divisors is an integer number (262519511904).

Almost surely, 210311103110231 is an apocalyptic number.

10311103110231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10311103110231 is a deficient number, since it is larger than the sum of its proper divisors (8590301746857).

10311103110231 is a wasteful number, since it uses less digits than its factorization.

10311103110231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101713 (or 101703 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10311103110231 its reverse (13201130111301), we get a palindrome (23512233221532).

The spelling of 10311103110231 in words is "ten trillion, three hundred eleven billion, one hundred three million, one hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 29411 72271 88233 205877 216813 264699 323521 505897 617631 650439 794981 970563 1441139 1517691 1852893 2264647 2384943 2911689 3541279 4323417 4553073 5564867 6793941 7154829 10623837 12970251 15852529 16694601 20381823 31871511 38954069 47557587 50083803 116862207 142672761 350586621 2125562381 6376687143 14878936667 19130061429 23381186191 44636810001 70143558573 104152556669 133910430003 163668303337 210430675719 312457670007 491004910011 937373010021 1145678123359 1473014730033 3437034370077 10311103110231