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23111301200 = 24521314813001
BaseRepresentation
bin10101100001100010…
…100111100001010000
32012122122222202010112
4111201202213201100
5334312443114300
614341151220452
71445501550611
oct254142474120
965578882115
1023111301200
11988a7aa729
12458bb17728
13224415b870
1411935c1c08
15903e97e35
hex5618a7850

23111301200 has 120 divisors (see below), whose sum is σ = 59856361656. Its totient is φ = 8524800000.

The previous prime is 23111301197. The next prime is 23111301217. The reversal of 23111301200 is 210311132.

It can be written as a sum of positive squares in 12 ways, for example, as 10669237264 + 12442063936 = 103292^2 + 111544^2 .

It is a congruent number.

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, 7699700 + ... + 7702700.

Almost surely, 223111301200 is an apocalyptic number.

23111301200 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 23111301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928180828).

23111301200 is an abundant number, since it is smaller than the sum of its proper divisors (36745060456).

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

23111301200 is a wasteful number, since it uses less digits than its factorization.

23111301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 23111301200 its reverse (210311132), we get a palindrome (23321612332).

The spelling of 23111301200 in words is "twenty-three billion, one hundred eleven million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 1481 2600 2962 3001 5200 5924 6002 7405 11848 12004 14810 15005 19253 23696 24008 29620 30010 37025 38506 39013 48016 59240 60020 74050 75025 77012 78026 96265 118480 120040 148100 150050 154024 156052 192530 195065 240080 296200 300100 308048 312104 385060 390130 481325 592400 600200 624208 770120 780260 962650 975325 1200400 1540240 1560520 1925300 1950650 3121040 3850600 3901300 4444481 7701200 7802600 8888962 15605200 17777924 22222405 35555848 44444810 57778253 71111696 88889620 111112025 115556506 177779240 222224050 231113012 288891265 355558480 444448100 462226024 577782530 888896200 924452048 1155565060 1444456325 1777792400 2311130120 2888912650 4622260240 5777825300 11555650600 23111301200