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114131333000 = 2353114131333
BaseRepresentation
bin110101001001011000…
…0011110111110001000
3101220121000020102211102
41222102300132332020
53332220110124000
6124233050320532
711150165216036
oct1522260367610
9356530212742
10114131333000
1144448186803
121a152429148
13a9bb3b2a49
145749b63556
152e7eb613d5
hex1a92c1ef88

114131333000 has 32 divisors (see below), whose sum is σ = 267067321560. Its totient is φ = 45652532800.

The previous prime is 114131332979. The next prime is 114131333077. The reversal of 114131333000 is 333131411.

It can be written as a sum of positive squares in 4 ways, for example, as 54379441636 + 59751891364 = 233194^2 + 244442^2 .

It is a super-2 number, since 2×1141313330002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57064667 + ... + 57066666.

Almost surely, 2114131333000 is an apocalyptic number.

114131333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114131333000 is an abundant number, since it is smaller than the sum of its proper divisors (152935988560).

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

114131333000 is a wasteful number, since it uses less digits than its factorization.

114131333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114131354 (or 114131340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 114131333000 its reverse (333131411), we get a palindrome (114464464411).

The spelling of 114131333000 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 114131333 228262666 456525332 570656665 913050664 1141313330 2282626660 2853283325 4565253320 5706566650 11413133300 14266416625 22826266600 28532833250 57065666500 114131333000