Search a number
-
+
23111414000 = 245397119131
BaseRepresentation
bin10101100001100011…
…000011000011110000
32012122200012110212022
4111201203003003300
5334313010222000
614341153451012
71445502530513
oct254143030360
965580173768
1023111414000
11988a877454
12458bb70a68
13224419accc
141193610d7a
15903ebb585
hex5618c30f0

23111414000 has 80 divisors (see below), whose sum is σ = 56459990496. Its totient is φ = 9149184000.

The previous prime is 23111413901. The next prime is 23111414023. The reversal of 23111414000 is 41411132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 23111414000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134435 + ... + 253565.

Almost surely, 223111414000 is an apocalyptic number.

23111414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229995248).

23111414000 is an abundant number, since it is smaller than the sum of its proper divisors (33348576496).

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

23111414000 is a wasteful number, since it uses less digits than its factorization.

23111414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119251 (or 119235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 23111414000 its reverse (41411132), we get a palindrome (23152825132).

The spelling of 23111414000 in words is "twenty-three billion, one hundred eleven million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 97000 119131 194000 238262 476524 595655 953048 1191310 1906096 2382620 2978275 4765240 5956550 9530480 11555707 11913100 14891375 23111414 23826200 29782750 46222828 47652400 57778535 59565500 92445656 115557070 119131000 184891312 231114140 238262000 288892675 462228280 577785350 924456560 1155570700 1444463375 2311141400 2888926750 4622282800 5777853500 11555707000 23111414000