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11452200541020 = 22325432417612169
BaseRepresentation
bin1010011010100110110001…
…0110000101101101011100
31111112211010112202021201100
42212221230112011231130
53000113101314303040
640205022430313100
72261252130311511
oct246515426055534
944484115667640
1011452200541020
11371593a7133a8
12134b61a958790
13650c26692a95
142b840a407308
1514cd70c1eb30
hexa6a6c585b5c

11452200541020 has 144 divisors (see below), whose sum is σ = 35560974889440. Its totient is φ = 2981659742208.

The previous prime is 11452200540953. The next prime is 11452200541021. The reversal of 11452200541020 is 2014500225411.

It is a happy number.

11452200541020 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 220 + 0 + 5 + 410 + 20 = 666.

11452200541020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452200541021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18401496 + ... + 19013664.

It is an arithmetic number, because the mean of its divisors is an integer number (246951214510).

Almost surely, 211452200541020 is an apocalyptic number.

11452200541020 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 11452200541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780487444720).

11452200541020 is an abundant number, since it is smaller than the sum of its proper divisors (24108774348420).

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

11452200541020 is a wasteful number, since it uses less digits than its factorization.

11452200541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614644 (or 614639 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11452200541020 its reverse (2014500225411), we get a palindrome (13466700766431).

The spelling of 11452200541020 in words is "eleven trillion, four hundred fifty-two billion, two hundred million, five hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2417 2580 3870 4834 7251 7740 9668 12085 14502 21753 24170 29004 36255 43506 48340 72510 87012 103931 108765 145020 207862 217530 311793 415724 435060 519655 612169 623586 935379 1039310 1224338 1247172 1558965 1836507 1870758 2078620 2448676 3060845 3117930 3673014 3741516 4676895 5509521 6121690 6235860 7346028 9182535 9353790 11019042 12243380 18365070 18707580 22038084 26323267 27547605 36730140 52646534 55095210 78969801 105293068 110190420 131616335 157939602 236909403 263232670 315879204 394849005 473818806 526465340 789698010 947637612 1184547015 1479612473 1579396020 2369094030 2959224946 4438837419 4738188060 5918449892 7398062365 8877674838 13316512257 14796124730 17755349676 22194187095 26633024514 29592249460 44388374190 53266049028 63623336339 66582561285 88776748380 127246672678 133165122570 190870009017 254493345356 266330245140 318116681695 381740018034 572610027051 636233363390 763480036068 954350045085 1145220054102 1272466726780 1908700090170 2290440108204 2863050135255 3817400180340 5726100270510 11452200541020