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114214131311 = 7219186165921
BaseRepresentation
bin110101001011110110…
…0010101011001101111
3101220210210001000202112
41222113230111121233
53332402304200221
6124245205114235
711152222045400
oct1522754253157
9356723030675
10114214131311
114448a999365
121a1760b897b
13aa025b2a27
145756b579a7
152e8706915b
hex1a97b1566f

114214131311 has 24 divisors (see below), whose sum is σ = 139931310960. Its totient is φ = 92694067200.

The previous prime is 114214131301. The next prime is 114214131323. The reversal of 114214131311 is 113131412411.

It is not a de Polignac number, because 114214131311 - 218 = 114213869167 is a prime.

It is a super-2 number, since 2×1142141313112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114214131301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699631 + ... + 1765551.

It is an arithmetic number, because the mean of its divisors is an integer number (5830471290).

Almost surely, 2114214131311 is an apocalyptic number.

114214131311 is a deficient number, since it is larger than the sum of its proper divisors (25717179649).

114214131311 is a wasteful number, since it uses less digits than its factorization.

114214131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67815 (or 67808 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

Adding to 114214131311 its reverse (113131412411), we get a palindrome (227345543722).

The spelling of 114214131311 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 7 19 49 133 931 1861 13027 35359 65921 91189 247513 461447 1252499 1732591 3230129 8767493 61372451 122678981 858752867 2330900639 6011270069 16316304473 114214131311