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11331121233100 = 22521231655114051
BaseRepresentation
bin1010010011100011101101…
…1101001011110011001100
31111010020121022200011002111
42210320323131023303030
52441122114013424400
640033240100433404
72246434514214004
oct244707335136314
944106538604074
1011331121233100
113679557597269
1213300696a8864
1364269b9c1196
142b26019cb004
15149b3611e3ba
hexa4e3b74bccc

11331121233100 has 72 divisors (see below), whose sum is σ = 24614015602176. Its totient is φ = 4527753000000.

The previous prime is 11331121233071. The next prime is 11331121233101. The reversal of 11331121233100 is 133212113311.

It is a super-2 number, since 2×113311212331002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331121233101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806421075 + ... + 806435125.

It is an arithmetic number, because the mean of its divisors is an integer number (341861327808).

Almost surely, 211331121233100 is an apocalyptic number.

11331121233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331121233100 is an abundant number, since it is smaller than the sum of its proper divisors (13282894369076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331121233100 is a wasteful number, since it uses less digits than its factorization.

11331121233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11331121233100 its reverse (133212113311), we get a palindrome (11464333346411).

The spelling of 11331121233100 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1231 2462 4924 6155 6551 12310 13102 14051 24620 26204 28102 30775 32755 56204 61550 65510 70255 123100 131020 140510 163775 281020 327550 351275 655100 702550 1405100 8064281 16128562 17296781 32257124 34593562 40321405 69187124 80642810 86483905 92048101 161285620 172967810 184096202 201607025 345935620 368192404 403214050 432419525 460240505 806428100 864839050 920481010 1729678100 1840962020 2301202525 4602405050 9204810100 113311212331 226622424662 453244849324 566556061655 1133112123310 2266224246620 2832780308275 5665560616550 11331121233100