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11000012331 = 3711616611181
BaseRepresentation
bin10100011111010011…
…01101111000101011
31001101121110112011010
422033221231320223
5140012000343311
65015304235003
7536406363540
oct121751557053
931347415133
1011000012331
114735247090
12216ba6ba63
131063c30149
14764cb4bc7
15445a92da6
hex28fa6de2b

11000012331 has 64 divisors (see below), whose sum is σ = 18629379072. Its totient is φ = 5607360000.

The previous prime is 11000012311. The next prime is 11000012339. The reversal of 11000012331 is 13321000011.

It is not a de Polignac number, because 11000012331 - 26 = 11000012267 is a prime.

It is a super-2 number, since 2×110000123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000012339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9313561 + ... + 9314741.

It is an arithmetic number, because the mean of its divisors is an integer number (291084048).

Almost surely, 211000012331 is an apocalyptic number.

11000012331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000012331 is a deficient number, since it is larger than the sum of its proper divisors (7629366741).

11000012331 is a wasteful number, since it uses less digits than its factorization.

11000012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11000012331 its reverse (13321000011), we get a palindrome (24321012342).

The spelling of 11000012331 in words is "eleven billion, twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 61 77 183 231 427 661 671 1181 1281 1983 2013 3543 4627 4697 7271 8267 12991 13881 14091 21813 24801 38973 40321 50897 72041 90937 120963 152691 216123 272811 282247 443531 504287 780641 792451 846741 1330593 1512861 2341923 2377353 3104717 5464487 5547157 8587051 9314151 16393461 16641471 25761153 47619101 60109357 142857303 180328071 333333707 523810111 1000001121 1571430333 3666670777 11000012331