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201230042200 = 235211210777713
BaseRepresentation
bin1011101101101000111…
…1101100010001011000
3201020102001211022011221
42323122033230101120
511244104342322300
6232235510101424
720352445064605
oct2733217542130
9636361738157
10201230042200
1178383127100
1232bbb64a874
1315c8c1018b5
149a4d5d16ac
15537b44631a
hex2eda3ec458

201230042200 has 144 divisors (see below), whose sum is σ = 519072011640. Its totient is φ = 72489753600.

The previous prime is 201230042183. The next prime is 201230042201. The reversal of 201230042200 is 2240032102.

201230042200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201230042201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2550544 + ... + 2628256.

Almost surely, 2201230042200 is an apocalyptic number.

201230042200 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 201230042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536005820).

201230042200 is an abundant number, since it is smaller than the sum of its proper divisors (317841969440).

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

201230042200 is a wasteful number, since it uses less digits than its factorization.

201230042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77858 (or 77838 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201230042200 its reverse (2240032102), we get a palindrome (203470074302).

The spelling of 201230042200 in words is "two hundred one billion, two hundred thirty million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 121 200 214 220 242 275 428 440 484 535 550 605 856 968 1070 1100 1177 1210 2140 2200 2354 2420 2675 3025 4280 4708 4840 5350 5885 6050 9416 10700 11770 12100 12947 21400 23540 24200 25894 29425 47080 51788 58850 64735 77713 103576 117700 129470 155426 235400 258940 310852 323675 388565 517880 621704 647350 777130 854843 1294700 1554260 1709686 1942825 2589400 3108520 3419372 3885650 4274215 6838744 7771300 8315291 8548430 9403273 15542600 16630582 17096860 18806546 21371075 33261164 34193720 37613092 41576455 42742150 47016365 66522328 75226184 83152910 85484300 91468201 94032730 166305820 170968600 182936402 188065460 207882275 235081825 332611640 365872804 376130920 415764550 457341005 470163650 731745608 831529100 914682010 940327300 1006150211 1663058200 1829364020 1880654600 2012300422 2286705025 3658728040 4024600844 4573410050 5030751055 8049201688 9146820100 10061502110 18293640200 20123004220 25153755275 40246008440 50307510550 100615021100 201230042200