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11321002031000 = 235343357173727
BaseRepresentation
bin1010010010111110000001…
…0011011111011110011000
31111002021111002121102102112
42210233200103133132120
52440440403004443000
640024444015051452
72245625661343034
oct244574023373630
944067432542375
1011321002031000
113675234565a22
12132a104810b88
136417483c902c
142b1d21ab91c4
15149742a67235
hexa4be04df798

11321002031000 has 128 divisors (see below), whose sum is σ = 27115176591360. Its totient is φ = 4421790576000.

The previous prime is 11321002030927. The next prime is 11321002031011. The reversal of 11321002031000 is 13020012311.

It is a super-2 number, since 2×113210020310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 153516137 + ... + 153589863.

It is an arithmetic number, because the mean of its divisors is an integer number (211837317120).

Almost surely, 211321002031000 is an apocalyptic number.

11321002031000 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 11321002031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557588295680).

11321002031000 is an abundant number, since it is smaller than the sum of its proper divisors (15794174560360).

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

11321002031000 is a wasteful number, since it uses less digits than its factorization.

11321002031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77362 (or 77348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11321002031000 its reverse (13020012311), we get a palindrome (11334022043311).

The spelling of 11321002031000 in words is "eleven trillion, three hundred twenty-one billion, two million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 3571 4300 5375 7142 8600 10750 14284 17855 21500 28568 35710 43000 71420 73727 89275 142840 147454 153553 178550 294908 307106 357100 368635 446375 589816 614212 714200 737270 767765 892750 1228424 1474540 1535530 1785500 1843175 2949080 3071060 3170261 3571000 3686350 3838825 6142120 6340522 7372700 7677650 9215875 12681044 14745400 15355300 15851305 18431750 19194125 25362088 30710600 31702610 36863500 38388250 63405220 73727000 76776500 79256525 126810440 153553000 158513050 263279117 317026100 396282625 526558234 634052200 792565250 1053116468 1316395585 1585130500 2106232936 2632791170 3170261000 5265582340 6581977925 10531164680 11321002031 13163955850 22642004062 26327911700 32909889625 45284008124 52655823400 56605010155 65819779250 90568016248 113210020310 131639558500 226420040620 263279117000 283025050775 452840081240 566050101550 1132100203100 1415125253875 2264200406200 2830250507750 5660501015500 11321002031000