Search a number
-
+
20012222001002 = 27211191377131853
BaseRepresentation
bin1001000110011011101010…
…11000100010111101101010
32121212011001011022111010112
410203031311120202331222
510110340012313013002
6110321253214014322
74133556342224600
oct443156530427552
977764034274115
1020012222001002
116416154669310
1222b26047a73a2
13b221b54369aa
144d284d547870
1524a86cd59852
hex123375622f6a

20012222001002 has 96 divisors (see below), whose sum is σ = 40391397766080. Its totient is φ = 7332684952320.

The previous prime is 20012222000999. The next prime is 20012222001077. The reversal of 20012222001002 is 20010022221002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759893 + ... + 6371960.

It is an arithmetic number, because the mean of its divisors is an integer number (420743726730).

Almost surely, 220012222001002 is an apocalyptic number.

20012222001002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20012222001002 is an abundant number, since it is smaller than the sum of its proper divisors (20379175765078).

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

20012222001002 is a wasteful number, since it uses less digits than its factorization.

20012222001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132036 (or 7132029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20012222001002 its reverse (20010022221002), we get a palindrome (40022244222004).

The spelling of 20012222001002 in words is "twenty trillion, twelve billion, two hundred twenty-two million, one thousand, two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 137 154 209 266 274 418 539 931 959 1078 1463 1507 1862 1918 2603 2926 3014 5206 6713 10241 10549 13426 18221 20482 21098 28633 36442 57266 73843 127547 147686 200431 255094 400862 1403017 2806034 7131853 14263706 49922971 78450383 99845942 135505207 156900766 271010414 349460797 549152681 698921594 948536449 977063861 1098305362 1490557277 1897072898 1954127722 2981114554 3844068767 6639755143 6839447027 7688137534 10433900939 10747702471 13279510286 13678894054 18564213359 20867801878 21495404942 37128426718 47876129189 73037306573 75233917297 95752258378 129949493513 146074613146 150467834594 204206346949 259898987026 408412693898 526637421079 909646454591 1053274842158 1429444428643 1819292909182 2858888857286 10006111000501 20012222001002