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114211203138 = 23237503340931
BaseRepresentation
bin110101001011110000…
…1001010100001000010
3101220210120112021001200
41222113201022201002
53332401032000023
6124245022242030
711152155131424
oct1522741124102
9356716467050
10114211203138
114448927938a
121a175126316
13aa01ac8c96
1457565d4814
152e86b8b743
hex1a9784a842

114211203138 has 48 divisors (see below), whose sum is σ = 254651656896. Its totient is φ = 36967721760.

The previous prime is 114211203137. The next prime is 114211203157. The reversal of 114211203138 is 831302112411.

114211203138 is a `hidden beast` number, since 1 + 1 + 421 + 1 + 203 + 1 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (114211203131) 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, 164533 + ... + 505463.

It is an arithmetic number, because the mean of its divisors is an integer number (5305242852).

Almost surely, 2114211203138 is an apocalyptic number.

114211203138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114211203138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127325828448).

114211203138 is an abundant number, since it is smaller than the sum of its proper divisors (140440453758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114211203138 is a wasteful number, since it uses less digits than its factorization.

114211203138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341479 (or 341476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114211203138 its reverse (831302112411), we get a palindrome (945513315549).

The spelling of 114211203138 in words is "one hundred fourteen billion, two hundred eleven million, two hundred three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 503 666 1006 1509 3018 4527 9054 18611 37222 55833 111666 167499 334998 340931 681862 1022793 2045586 3068379 6136758 12614447 25228894 37843341 75686682 113530023 171488293 227060046 342976586 514464879 1028929758 1543394637 3086789274 6345066841 12690133682 19035200523 38070401046 57105601569 114211203138