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11402111120411 = 1123101446214187
BaseRepresentation
bin1010010111101100001011…
…0010000111010000011011
31111101000211201200002002002
42211323002302013100123
52443303010421323121
640130020232231215
72254526641255334
oct245730262072033
944330751602062
1011402111120411
1136a6676525320
12134197bb3b50b
136492a3244a6b
142b5c17c7b28b
1514b8dd5b4e0b
hexa5ec2c8741b

11402111120411 has 16 divisors (see below), whose sum is σ = 13107987986688. Its totient is φ = 9816712092000.

The previous prime is 11402111120401. The next prime is 11402111120417.

11402111120411 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11402111120411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11402111120417) 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, 223081541 + ... + 223132646.

It is an arithmetic number, because the mean of its divisors is an integer number (819249249168).

Almost surely, 211402111120411 is an apocalyptic number.

11402111120411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11402111120411 is a deficient number, since it is larger than the sum of its proper divisors (1705876866277).

11402111120411 is a wasteful number, since it uses less digits than its factorization.

11402111120411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446214322.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 1140211 and 1120411, that added together give a palindrome (2260622).

The spelling of 11402111120411 in words is "eleven trillion, four hundred two billion, one hundred eleven million, one hundred twenty thousand, four hundred eleven".

Divisors: 1 11 23 101 253 1111 2323 25553 446214187 4908356057 10262926301 45067632887 112892189311 495743961757 1036555556401 11402111120411