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11321101002000 = 243536133078059
BaseRepresentation
bin1010010010111110011000…
…1101000010010100010000
31111002021201222211200010010
42210233212031002110100
52440441103324031000
640024501512234520
72245631302521156
oct244574615022420
944067658750103
1011321101002000
113675285414339
12132a13199ba40
13641762a6c35a
142b1d30cbd3d6
1514974b5b6d50
hexa4be6342510

11321101002000 has 160 divisors (see below), whose sum is σ = 36558783480960. Its totient is φ = 3014034393600.

The previous prime is 11321101001989. The next prime is 11321101002011. The reversal of 11321101002000 is 20010112311.

It is an interprime number because it is at equal distance from previous prime (11321101001989) and next prime (11321101002011).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2138971 + ... + 5217029.

It is an arithmetic number, because the mean of its divisors is an integer number (228492396756).

Almost surely, 211321101002000 is an apocalyptic number.

11321101002000 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 11321101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279391740480).

11321101002000 is an abundant number, since it is smaller than the sum of its proper divisors (25237682478960).

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

11321101002000 is a wasteful number, since it uses less digits than its factorization.

11321101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078698 (or 3078682 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11321101002000 its reverse (20010112311), we get a palindrome (11341111114311).

The spelling of 11321101002000 in words is "eleven trillion, three hundred twenty-one billion, one hundred one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 613 750 1000 1200 1226 1500 1839 2000 2452 3000 3065 3678 4904 6000 6130 7356 9195 9808 12260 14712 15325 18390 24520 29424 30650 36780 45975 49040 61300 73560 76625 91950 122600 147120 153250 183900 229875 245200 306500 367800 459750 613000 735600 919500 1226000 1839000 3078059 3678000 6156118 9234177 12312236 15390295 18468354 24624472 30780590 36936708 46170885 49248944 61561180 73873416 76951475 92341770 123122360 147746832 153902950 184683540 230854425 246244720 307805900 369367080 384757375 461708850 615611800 738734160 769514750 923417700 1154272125 1231223600 1539029500 1846835400 1886850167 2308544250 3078059000 3693670800 3773700334 4617088500 5660550501 6156118000 7547400668 9234177000 9434250835 11321101002 15094801336 18468354000 18868501670 22642202004 28302752505 30189602672 37737003340 45284404008 47171254175 56605505010 75474006680 90568808016 94342508350 113211010020 141513762525 150948013360 188685016700 226422020040 235856270875 283027525050 377370033400 452844040080 471712541750 566055050100 707568812625 754740066800 943425083500 1132110100200 1415137625250 1886850167000 2264220200400 2830275250500 3773700334000 5660550501000 11321101002000