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13211122111231 = 1112711538201891
BaseRepresentation
bin1100000000111111010000…
…1111011001001011111111
31201202222012211000000010111
43000033310033121023333
53212422334230024411
644033034500050451
72532320631054562
oct300176417311377
951688184000114
1013211122111231
114233895022760
1215944a2093a27
1374aa5a2b7aa5
143395c92c24d9
1517d9b926b721
hexc03f43d92ff

13211122111231 has 16 divisors (see below), whose sum is σ = 14538214453248. Its totient is φ = 11905207372800.

The previous prime is 13211122111219. The next prime is 13211122111267.

13211122111231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13211122111231 - 229 = 13210585240319 is a prime.

It is a super-2 number, since 2×132111221112312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211122121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2490205 + ... + 5711686.

It is an arithmetic number, because the mean of its divisors is an integer number (908638403328).

Almost surely, 213211122111231 is an apocalyptic number.

13211122111231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13211122111231 is a deficient number, since it is larger than the sum of its proper divisors (1327092342017).

13211122111231 is a wasteful number, since it uses less digits than its factorization.

13211122111231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203182.

The product of its digits is 144, while the sum is 22.

It can be divided in two parts, 1321112 and 2111231, that added together give a palindrome (3432343).

The spelling of 13211122111231 in words is "thirteen trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred thirty-one".

Divisors: 1 11 127 1153 1397 12683 146431 1610741 8201891 90220801 1041640157 9456780323 11458041727 104024583553 1201011101021 13211122111231