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103231132301 = 1143909124007
BaseRepresentation
bin110000000100100001…
…1100001001010001101
3100212110100120212111102
41200021003201022031
53142404132213201
6115231305232445
710313110101203
oct1401103411215
9325410525442
10103231132301
113a864312680
121800ba92725
13997205b74b
144dd4231073
152a42c3726b
hex18090e128d

103231132301 has 16 divisors (see below), whose sum is σ = 115252228608. Its totient is φ = 91650106800.

The previous prime is 103231132271. The next prime is 103231132313.

103231132301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103231132301 - 210 = 103231131277 is a prime.

It is a super-2 number, since 2×1032311323012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103231131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4288040 + ... + 4312046.

It is an arithmetic number, because the mean of its divisors is an integer number (7203264288).

Almost surely, 2103231132301 is an apocalyptic number.

103231132301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103231132301 is a deficient number, since it is larger than the sum of its proper divisors (12021096307).

103231132301 is a wasteful number, since it uses less digits than its factorization.

103231132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33152.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 103231 and 132301, that added together give a palindrome (235532).

The spelling of 103231132301 in words is "one hundred three billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 11 43 473 9091 24007 100001 264077 390913 1032301 4300043 11355311 218247637 2400724007 9384648391 103231132301