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11332221230020 = 22537103169987509
BaseRepresentation
bin1010010011100111110100…
…0001010101101111000100
31111010100102222111210012011
42210321331001111233010
52441131342113330040
640033541153304004
72246504002065055
oct244717501255704
944110388453164
1011332221230020
113679a714aa229
121330315b65004
13642815870632
142b26a7b2872c
15149b9c9a43ea
hexa4e7d055bc4

11332221230020 has 96 divisors (see below), whose sum is σ = 24692941728000. Its totient is φ = 4364938243584.

The previous prime is 11332221230009. The next prime is 11332221230027. The reversal of 11332221230020 is 2003212223311.

11332221230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113322212300202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11332221229973 and 11332221230000.

It is not an unprimeable number, because it can be changed into a prime (11332221230027) 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, 129454026 + ... + 129541534.

It is an arithmetic number, because the mean of its divisors is an integer number (257218143000).

Almost surely, 211332221230020 is an apocalyptic number.

11332221230020 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 11332221230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346470864000).

11332221230020 is an abundant number, since it is smaller than the sum of its proper divisors (13360720497980).

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

11332221230020 is a wasteful number, since it uses less digits than its factorization.

11332221230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89357 (or 89355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11332221230020 its reverse (2003212223311), we get a palindrome (13335433453331).

The spelling of 11332221230020 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 103 148 185 206 370 412 515 740 1030 1699 2060 3398 3811 6796 7622 8495 15244 16990 19055 33980 38110 62863 76220 87509 125726 174997 175018 251452 314315 349994 350036 437545 628630 699988 874985 875090 1257260 1749970 1750180 3237833 3499940 6474889 6475666 9013427 12949778 12951332 16189165 18026854 25899556 32374445 32378330 36053708 45067135 64748890 64756660 90134270 129497780 148677791 180268540 297355582 333496799 594711164 666993598 743388955 1333987196 1486777910 1667483995 2973555820 3334967990 5501078267 6669935980 11002156534 15313812473 22004313068 27505391335 30627624946 55010782670 61255249892 76569062365 110021565340 153138124730 306276249460 566611061501 1133222123002 2266444246004 2833055307505 5666110615010 11332221230020