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23102101200 = 2435227976883
BaseRepresentation
bin10101100000111111…
…100001011011010000
32012122000200100002210
4111200333201123100
5334303114214300
614340222112120
71445330422503
oct254077413320
965560610083
1023102101200
119885596622
124588a1b640
13224228a189
1411922a913a
1590327c050
hex560fe16d0

23102101200 has 120 divisors (see below), whose sum is σ = 74040944608. Its totient is φ = 6157463040.

The previous prime is 23102101189. The next prime is 23102101241. The reversal of 23102101200 is 210120132.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3352959 + ... + 3359841.

Almost surely, 223102101200 is an apocalyptic number.

23102101200 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 23102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020472304).

23102101200 is an abundant number, since it is smaller than the sum of its proper divisors (50938843408).

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

23102101200 is a wasteful number, since it uses less digits than its factorization.

23102101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23102101200 its reverse (210120132), we get a palindrome (23312221332).

The spelling of 23102101200 in words is "twenty-three billion, one hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2797 5594 6883 8391 11188 13766 13985 16782 20649 22376 27532 27970 33564 34415 41298 41955 44752 55064 55940 67128 68830 69925 82596 83910 103245 110128 111880 134256 137660 139850 165192 167820 172075 206490 209775 223760 275320 279700 330384 335640 344150 412980 419550 516225 550640 559400 671280 688300 825960 839100 1032450 1118800 1376600 1651920 1678200 2064900 2753200 3356400 4129800 8259600 19251751 38503502 57755253 77007004 96258755 115510506 154014008 192517510 231021012 288776265 308028016 385035020 462042024 481293775 577552530 770070040 924084048 962587550 1155105060 1443881325 1540140080 1925175100 2310210120 2887762650 3850350200 4620420240 5775525300 7700700400 11551050600 23102101200