Search a number
-
+
203031202222002 = 237211199315478447
BaseRepresentation
bin101110001010011111100010…
…101011111100111110110010
3222121212121000120101102221110
4232022133202223330332302
5203102430400232101002
61555451125140534150
760523343314142100
oct5612374253747662
9877777016342843
10203031202222002
115976805a707260
121a9309829b1356
1389399b627582b
14381ca968b2c70
151871492c35e6c
hexb8a7e2afcfb2

203031202222002 has 96 divisors (see below), whose sum is σ = 517889420236800. Its totient is φ = 52470375138720.

The previous prime is 203031202222001. The next prime is 203031202222063. The reversal of 203031202222002 is 200222202130302.

It is a super-2 number, since 2×2030312022220022 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 203031202222002.

It is not an unprimeable number, because it can be changed into a prime (203031202222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157095658 + ... + 158382789.

It is an arithmetic number, because the mean of its divisors is an integer number (5394681460800).

Almost surely, 2203031202222002 is an apocalyptic number.

203031202222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

203031202222002 is an abundant number, since it is smaller than the sum of its proper divisors (314858218014798).

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

203031202222002 is a wasteful number, since it uses less digits than its factorization.

203031202222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315478676 (or 315478669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 203031202222002 its reverse (200222202130302), we get a palindrome (403253404352304).

The spelling of 203031202222002 in words is "two hundred three trillion, thirty-one billion, two hundred two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 199 231 294 398 462 539 597 1078 1194 1393 1617 2189 2786 3234 4179 4378 6567 8358 9751 13134 15323 19502 29253 30646 45969 58506 91938 107261 214522 321783 643566 315478447 630956894 946435341 1892870682 2208349129 3470262917 4416698258 6625047387 6940525834 10410788751 13250094774 15458443903 20821577502 24291840419 30916887806 46375331709 48583680838 62780210953 72875521257 92750663418 125560421906 145751042514 170042882933 188340632859 340085765866 376681265718 439461476671 510128648799 690582320483 878922953342 1020257297598 1318384430013 1381164640966 2071746961449 2636768860026 3076230336697 4143493922898 4834076243381 6152460673394 9228691010091 9668152486762 14502228730143 18457382020182 29004457460286 33838533703667 67677067407334 101515601111001 203031202222002