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114123003141 = 3747349331307
BaseRepresentation
bin110101001001001000…
…0101101010100000101
3101220120102120020102010
41222102100231110011
53332210442100031
6124232152004433
711150034343530
oct1522220552405
9356512506363
10114123003141
1144443507424
121a14b690719
13a9b9757434
1457489d5a17
152e7e068246
hex1a9242d505

114123003141 has 32 divisors (see below), whose sum is σ = 178111180800. Its totient is φ = 63642557376.

The previous prime is 114123003109. The next prime is 114123003191. The reversal of 114123003141 is 141300321411.

It is not a de Polignac number, because 114123003141 - 25 = 114123003109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123003191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178810 + ... + 510116.

It is an arithmetic number, because the mean of its divisors is an integer number (5565974400).

Almost surely, 2114123003141 is an apocalyptic number.

It is an amenable number.

114123003141 is a deficient number, since it is larger than the sum of its proper divisors (63988177659).

114123003141 is a wasteful number, since it uses less digits than its factorization.

114123003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331713.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114123003141 its reverse (141300321411), we get a palindrome (255423324552).

The spelling of 114123003141 in words is "one hundred fourteen billion, one hundred twenty-three million, three thousand, one hundred forty-one".

Divisors: 1 3 7 21 47 141 329 349 987 1047 2443 7329 16403 49209 114821 331307 344463 993921 2319149 6957447 15571429 46714287 109000003 115626143 327000009 346878429 809383001 2428149003 5434428721 16303286163 38041001047 114123003141