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201324022000 = 2453414357097
BaseRepresentation
bin1011101101111111011…
…0001100100011110000
3201020122121122222020021
42323133312030203300
511244302422201000
6232253104253224
720354665644313
oct2733766144360
9636577588207
10201324022000
1178421186562
1233027011214
1315ca571814a
149a5bc9697a
15538480c11a
hex2edfd8c8f0

201324022000 has 160 divisors (see below), whose sum is σ = 510280714944. Its totient is φ = 76737024000.

The previous prime is 201324021991. The next prime is 201324022013. The reversal of 201324022000 is 220423102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497452 + ... + 3554548.

Almost surely, 2201324022000 is an apocalyptic number.

201324022000 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 201324022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255140357472).

201324022000 is an abundant number, since it is smaller than the sum of its proper divisors (308956692944).

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

201324022000 is a wasteful number, since it uses less digits than its factorization.

201324022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57204 (or 57188 counting only the distinct ones).

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

Adding to 201324022000 its reverse (220423102), we get a palindrome (201544445102).

The spelling of 201324022000 in words is "two hundred one billion, three hundred twenty-four million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 43 50 80 82 86 100 125 164 172 200 205 215 250 328 344 400 410 430 500 656 688 820 860 1000 1025 1075 1640 1720 1763 2000 2050 2150 3280 3440 3526 4100 4300 5125 5375 7052 8200 8600 8815 10250 10750 14104 16400 17200 17630 20500 21500 28208 35260 41000 43000 44075 57097 70520 82000 86000 88150 114194 141040 176300 220375 228388 285485 352600 440750 456776 570970 705200 881500 913552 1141940 1427425 1763000 2283880 2340977 2455171 2854850 3526000 4567760 4681954 4910342 5709700 7137125 9363908 9820684 11419400 11704885 12275855 14274250 18727816 19641368 22838800 23409770 24551710 28548500 37455632 39282736 46819540 49103420 57097000 58524425 61379275 93639080 98206840 100662011 114194000 117048850 122758550 187278160 196413680 201324022 234097700 245517100 292622125 306896375 402648044 468195400 491034200 503310055 585244250 613792750 805296088 936390800 982068400 1006620110 1170488500 1227585500 1610592176 2013240220 2340977000 2455171000 2516550275 4026480440 4681954000 4910342000 5033100550 8052960880 10066201100 12582751375 20132402200 25165502750 40264804400 50331005500 100662011000 201324022000