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11423311332411 = 3114183271375359
BaseRepresentation
bin1010011000111011001001…
…1010100000010000111011
31111110001120012121102200010
42212032302122200100323
52444124420200114121
640143444034313003
72256210206142516
oct246166232402073
944401505542603
1011423311332411
113704665495390
121345ab7a28763
1364b2a14894c4
142b6c69709d7d
1514c22e8ae376
hexa63b26a043b

11423311332411 has 64 divisors (see below), whose sum is σ = 17289670164480. Its totient is φ = 6648340896000.

The previous prime is 11423311332401. The next prime is 11423311332449.

It is a happy number.

11423311332411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11423311332411 - 242 = 7025264821307 is a prime.

It is a super-2 number, since 2×114233113324112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11423311332401) 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, 30245350 + ... + 30620708.

It is an arithmetic number, because the mean of its divisors is an integer number (270151096320).

Almost surely, 211423311332411 is an apocalyptic number.

11423311332411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11423311332411 is a deficient number, since it is larger than the sum of its proper divisors (5866358832069).

11423311332411 is a wasteful number, since it uses less digits than its factorization.

11423311332411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375768.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1142331 and 1332411, that added together give a palindrome (2474742).

The spelling of 11423311332411 in words is "eleven trillion, four hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, four hundred eleven".

Divisors: 1 3 11 33 41 83 123 249 271 451 813 913 1353 2739 2981 3403 8943 10209 11111 22493 33333 37433 67479 112299 122221 247423 366663 375359 742269 922213 1126077 2766639 4128949 10144343 12386847 15389719 30433029 31154797 46169157 93464391 101722289 169286909 305166867 342702767 507860727 1028108301 1118945179 1277346677 3356835537 3832040031 4170613849 8442949987 12511841547 14050813447 25328849961 42152440341 45876752339 92872449857 137630257017 278617349571 346160949467 1038482848401 3807770444137 11423311332411