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11236212001 = 721927972
BaseRepresentation
bin10100111011011101…
…01111110100100001
31002000001220201012001
422131232233310201
5141002432241001
65054543004001
7545305140400
oct123556576441
932001821161
1011236212001
114846604423
122216b99601
1310a0b50271
147883db637
1545b69d001
hex29dbafd21

11236212001 has 27 divisors (see below), whose sum is σ = 13812164019. Its totient is φ = 9112693968.

The previous prime is 11236211977. The next prime is 11236212061. The reversal of 11236212001 is 10021263211.

The square root of 11236212001 is 106001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5448654225 + 5787557776 = 73815^2 + 76076^2 .

It is not a de Polignac number, because 11236212001 - 25 = 11236211969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 11236212001.

It is not an unprimeable number, because it can be changed into a prime (11236212061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14097735 + ... + 14098531.

Almost surely, 211236212001 is an apocalyptic number.

11236212001 is the 106001-st square number.

11236212001 is the 53001-st centered octagonal number.

It is an amenable number.

11236212001 is a deficient number, since it is larger than the sum of its proper divisors (2575952018).

11236212001 is an frugal number, since it uses more digits than its factorization.

11236212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Multiplying 11236212001 by its product of nonzero digits (144), we get a square (1618014528144 = 12720122).

Adding to 11236212001 its reverse (10021263211), we get a palindrome (21257475212).

The spelling of 11236212001 in words is "eleven billion, two hundred thirty-six million, two hundred twelve thousand, one".

Divisors: 1 7 19 49 133 361 797 931 2527 5579 15143 17689 39053 106001 287717 635209 742007 2014019 4446463 12068971 14098133 31125241 84482797 229310449 591379579 1605173143 11236212001