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100323441141 = 37111135138261
BaseRepresentation
bin101110101101110111…
…1100011100111110101
3100120221201020212002020
41131123233203213311
53120430300104031
6114030555303353
710151052115410
oct1353357434765
9316851225066
10100323441141
1139601a70230
121753a14ab59
1395ca827031
144bd9db6b77
152922829096
hex175bbe39f5

100323441141 has 32 divisors (see below), whose sum is σ = 166790486016. Its totient is φ = 52110120000.

The previous prime is 100323441121. The next prime is 100323441151. The reversal of 100323441141 is 141144323001.

It is not a de Polignac number, because 100323441141 - 213 = 100323432949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323441121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602951 + ... + 2641211.

It is an arithmetic number, because the mean of its divisors is an integer number (5212202688).

Almost surely, 2100323441141 is an apocalyptic number.

100323441141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100323441141 is a deficient number, since it is larger than the sum of its proper divisors (66467044875).

100323441141 is a wasteful number, since it uses less digits than its factorization.

100323441141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49633.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100323441141 its reverse (141144323001), we get a palindrome (241467764142).

The spelling of 100323441141 in words is "one hundred billion, three hundred twenty-three million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 11351 34053 38261 79457 114783 124861 238371 267827 374583 420871 803481 874027 1262613 2622081 2946097 8838291 434300611 1302901833 3040104277 4777306721 9120312831 14331920163 33441147047 100323441141