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11020012332131 = 116179379548521
BaseRepresentation
bin1010000001011100101111…
…1010111010010001100011
31110000111120121101111001202
42200113023322322101203
52421022441124112011
635234305045151415
72215112115202055
oct240271372722143
943014517344052
1011020012332131
113569619741280
12129b9039bb56b
1361c24b528bba
142a152b34b8d5
151419c855e23b
hexa05cbeba463

11020012332131 has 32 divisors (see below), whose sum is σ = 12406251187200. Its totient is φ = 9703538208000.

The previous prime is 11020012332127. The next prime is 11020012332157. The reversal of 11020012332131 is 13123321002011.

It is a happy number.

11020012332131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11020012332131 - 22 = 11020012332127 is a prime.

It is a super-2 number, since 2×110200123321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11020012332101) 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, 19816151 + ... + 20364671.

It is an arithmetic number, because the mean of its divisors is an integer number (387695349600).

Almost surely, 211020012332131 is an apocalyptic number.

11020012332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11020012332131 is a deficient number, since it is larger than the sum of its proper divisors (1386238855069).

11020012332131 is a wasteful number, since it uses less digits than its factorization.

11020012332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549051.

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

Adding to 11020012332131 its reverse (13123321002011), we get a palindrome (24143333334142).

The spelling of 11020012332131 in words is "eleven trillion, twenty billion, twelve million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 61 79 379 671 869 4169 4819 23119 29941 53009 254309 329351 548521 1826401 6033731 20090411 33459781 43333159 207889459 368057591 476664749 2286784049 2643322699 12681256999 16423267261 29076549689 139493826989 180655939871 1001819302921 11020012332131