Search a number
-
+
30003100112202 = 237231371049216119
BaseRepresentation
bin1101101001001101001000…
…00111111101010101001010
310221020021020122002202221120
412310212210013331111022
512413032322112042302
6143451122305220110
76214436535042210
oct664464407752512
9127207218082846
1030003100112202
11961827491a258
123446975631636
1313983847a6379
1475a22cdb2cb0
153706b20459bc
hex1b49a41fd54a

30003100112202 has 128 divisors (see below), whose sum is σ = 72151575552000. Its totient is φ = 8131956704256.

The previous prime is 30003100112177. The next prime is 30003100112207. The reversal of 30003100112202 is 20221100130003.

It is not an unprimeable number, because it can be changed into a prime (30003100112207) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 138718699 + ... + 138934817.

It is an arithmetic number, because the mean of its divisors is an integer number (563684184000).

Almost surely, 230003100112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003100112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36075787776000).

30003100112202 is an abundant number, since it is smaller than the sum of its proper divisors (42148475439798).

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

30003100112202 is a wasteful number, since it uses less digits than its factorization.

30003100112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217340.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30003100112202 its reverse (20221100130003), we get a palindrome (50224200242205).

The spelling of 30003100112202 in words is "thirty trillion, three billion, one hundred million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 137 138 161 274 322 411 483 822 959 966 1049 1918 2098 2877 3147 3151 5754 6294 6302 7343 9453 14686 18906 22029 22057 24127 44058 44114 48254 66171 72381 132342 143713 144762 168889 216119 287426 337778 431139 432238 506667 648357 862278 1005991 1013334 1296714 1512833 2011982 3017973 3025666 3305399 4538499 4970737 6035946 6610798 9076998 9916197 9941474 14912211 19832394 23137793 29608303 29824422 34795159 46275586 59216606 69413379 69590318 88824909 104385477 138826758 177649818 207258121 208770954 226708831 414516242 453417662 621774363 680126493 680990969 1243548726 1360252986 1361981938 1586961817 2042972907 3173923634 4085945814 4760885451 4766936783 5214303113 9521770902 9533873566 10428606226 14300810349 15642909339 28601620698 31059109847 31285818678 36500121791 62118219694 73000243582 93177329541 109500365373 186354659082 217413768929 219000730746 434827537858 652241306787 714359526481 1304482613574 1428719052962 2143078579443 4286157158886 5000516685367 10001033370734 15001550056101 30003100112202