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11323134011000 = 235373135168021
BaseRepresentation
bin1010010011000101111101…
…1000010110011001111000
31111002110222200022020011202
42210301133120112121320
52441004234301323000
640025435334513332
72246032550023130
oct244613730263170
944073880266152
1011323134011000
113676128a57069
12132a5ba805848
136419c8003166
142b2084ccbac0
15149819ce9dd5
hexa4c5f616678

11323134011000 has 128 divisors (see below), whose sum is σ = 30378046757760. Its totient is φ = 3869813376000.

The previous prime is 11323134010997. The next prime is 11323134011243. The reversal of 11323134011000 is 11043132311.

11323134011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393011 + ... + 4775010.

It is an arithmetic number, because the mean of its divisors is an integer number (237328490295).

Almost surely, 211323134011000 is an apocalyptic number.

11323134011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323134011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189023378880).

11323134011000 is an abundant number, since it is smaller than the sum of its proper divisors (19054912746760).

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

11323134011000 is a wasteful number, since it uses less digits than its factorization.

11323134011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168362 (or 5168348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11323134011000 its reverse (11043132311), we get a palindrome (11334177143311).

The spelling of 11323134011000 in words is "eleven trillion, three hundred twenty-three billion, one hundred thirty-four million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 313 350 500 626 700 875 1000 1252 1400 1565 1750 2191 2504 3130 3500 4382 6260 7000 7825 8764 10955 12520 15650 17528 21910 31300 39125 43820 54775 62600 78250 87640 109550 156500 219100 273875 313000 438200 547750 1095500 2191000 5168021 10336042 20672084 25840105 36176147 41344168 51680210 72352294 103360420 129200525 144704588 180880735 206720840 258401050 289409176 361761470 516802100 646002625 723522940 904403675 1033604200 1292005250 1447045880 1617590573 1808807350 2584010500 3235181146 3617614700 4522018375 5168021000 6470362292 7235229400 8087952865 9044036750 11323134011 12940724584 16175905730 18088073500 22646268022 32351811460 36176147000 40439764325 45292536044 56615670055 64703622920 80879528650 90585072088 113231340110 161759057300 202198821625 226462680220 283078350275 323518114600 404397643250 452925360440 566156700550 808795286500 1132313401100 1415391751375 1617590573000 2264626802200 2830783502750 5661567005500 11323134011000