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4431312113100 = 22352103143408159
BaseRepresentation
bin100000001111011111011…
…0010001100110111001100
3120200121222202112020002120
41000132332302030313030
51040100311400104400
613231414445252540
7635103021323445
oct100367662146714
916617882466076
104431312113100
111459344188a94
125b6999564150
13261b425b8442
14114695d022cc
157a4067b1ca0
hex407bec8cdcc

4431312113100 has 72 divisors (see below), whose sum is σ = 12945741419520. Its totient is φ = 1170210569280.

The previous prime is 4431312113087. The next prime is 4431312113119. The reversal of 4431312113100 is 13112131344.

It is a happy number.

It is a super-2 number, since 2×44313121131002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71673180 + ... + 71734979.

It is an arithmetic number, because the mean of its divisors is an integer number (179801964160).

Almost surely, 24431312113100 is an apocalyptic number.

It is an amenable number.

4431312113100 is an abundant number, since it is smaller than the sum of its proper divisors (8514429306420).

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

4431312113100 is a wasteful number, since it uses less digits than its factorization.

4431312113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143408279 (or 143408272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 4431312113100 its reverse (13112131344), we get a palindrome (4444424244444).

The spelling of 4431312113100 in words is "four trillion, four hundred thirty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 143408159 286816318 430224477 573632636 717040795 860448954 1434081590 1720897908 2151122385 2868163180 3585203975 4302244770 7170407950 8604489540 10755611925 14340815900 14771040377 21511223850 29542080754 43022447700 44313121131 59084161508 73855201885 88626242262 147710403770 177252484524 221565605655 295420807540 369276009425 443131211310 738552018850 886262422620 1107828028275 1477104037700 2215656056550 4431312113100