Search a number
-
+
202143314100 = 223527137404517
BaseRepresentation
bin1011110001000010101…
…1100011000010110100
3201022202201022022201010
42330100223203002310
511302442142022400
6232510252432220
720414204551110
oct2742053430264
9638681268633
10202143314100
11788016a3872
1233215478670
13160a6394180
149ad8a04740
1553d16e5450
hex2f10ae30b4

202143314100 has 144 divisors (see below), whose sum is σ = 719837621888. Its totient is φ = 42650012160.

The previous prime is 202143314071. The next prime is 202143314117. The reversal of 202143314100 is 1413341202.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 3674959 + ... + 3729558.

Almost surely, 2202143314100 is an apocalyptic number.

202143314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202143314100 is an abundant number, since it is smaller than the sum of its proper divisors (517694307788).

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

202143314100 is a wasteful number, since it uses less digits than its factorization.

202143314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404554 (or 7404547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 202143314100 its reverse (1413341202), we get a palindrome (203556655302).

The spelling of 202143314100 in words is "two hundred two billion, one hundred forty-three million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 7404517 14809034 22213551 29618068 37022585 44427102 51831619 74045170 88854204 96258721 103663238 111067755 148090340 155494857 185112925 192517442 207326476 222135510 259158095 288776163 310989714 370225850 385034884 444271020 481293605 518316190 555338775 577552326 621979428 673811047 740451700 777474285 962587210 1036632380 1110677550 1155104652 1295790475 1347622094 1443880815 1554948570 1925174420 2021433141 2221355100 2406468025 2591580950 2695244188 2887761630 3109897140 3369055235 3887371425 4042866282 4812936050 5183161900 5775523260 6738110470 7219404075 7774742850 8085732564 9625872100 10107165705 13476220940 14438808150 15549485700 16845276175 20214331410 28877616300 33690552350 40428662820 50535828525 67381104700 101071657050 202143314100