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114001330104 = 233261211123017
BaseRepresentation
bin110101000101100000…
…0100011111110111000
3101220020221121121101100
41222023000203332320
53331433320030404
6124212124051400
711144026213614
oct1521300437670
9356227547340
10114001330104
11443908626a2
121a116993b60
13a99a495b5c
1457367a2344
152e73531d39
hex1a8b023fb8

114001330104 has 96 divisors (see below), whose sum is σ = 315304975440. Its totient is φ = 37200038400.

The previous prime is 114001330103. The next prime is 114001330109. The reversal of 114001330104 is 401033100411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001330103) 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, 865204 + ... + 988220.

Almost surely, 2114001330104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114001330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157652487720).

114001330104 is an abundant number, since it is smaller than the sum of its proper divisors (201303645336).

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

114001330104 is a wasteful number, since it uses less digits than its factorization.

114001330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123301 (or 123294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114001330104 its reverse (401033100411), we get a palindrome (515034430515).

The spelling of 114001330104 in words is "one hundred fourteen billion, one million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 211 244 366 422 488 549 633 732 844 1098 1266 1464 1688 1899 2196 2532 3798 4392 5064 7596 12871 15192 25742 38613 51484 77226 102968 115839 123017 154452 231678 246034 308904 369051 463356 492068 738102 926712 984136 1107153 1476204 2214306 2952408 4428612 7504037 8857224 15008074 22512111 25956587 30016148 45024222 51913174 60032296 67536333 77869761 90048444 103826348 135072666 155739522 180096888 207652696 233609283 270145332 311479044 467218566 540290664 622958088 934437132 1583351807 1868874264 3166703614 4750055421 6333407228 9500110842 12666814456 14250166263 19000221684 28500332526 38000443368 57000665052 114001330104