Search a number
-
+
30022110221202 = 232115310392753497
BaseRepresentation
bin1101101001110000100010…
…01101110001001110010010
310221022002022110222101000200
412310320101031301032102
512413340240204034302
6143503544514000030
76216011610230421
oct664702115611622
9127262273871020
1030022110221202
11962533a5aa540
12344a59bb76016
13139a0c4073188
1475b113a1d2b8
15370e25e2a81c
hex1b4e11371392

30022110221202 has 96 divisors (see below), whose sum is σ = 72369857514240. Its totient is φ = 8917362005760.

The previous prime is 30022110221171. The next prime is 30022110221203. The reversal of 30022110221202 is 20212201122003.

30022110221202 is a `hidden beast` number, since 30 + 0 + 2 + 211 + 0 + 221 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30022110221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9526518 + ... + 12280014.

It is an arithmetic number, because the mean of its divisors is an integer number (753852682440).

Almost surely, 230022110221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022110221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36184928757120).

30022110221202 is an abundant number, since it is smaller than the sum of its proper divisors (42347747293038).

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

30022110221202 is a wasteful number, since it uses less digits than its factorization.

30022110221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754608 (or 2754605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30022110221202 its reverse (20212201122003), we get a palindrome (50234311343205).

The spelling of 30022110221202 in words is "thirty trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1039 1166 1749 2078 3117 3498 5247 6234 9351 10494 11429 18702 22858 34287 55067 68574 102861 110134 165201 205722 330402 495603 605737 991206 1211474 1817211 2753497 3634422 5451633 5506994 8260491 10903266 16520982 24781473 30288467 49562946 60576934 90865401 145935341 181730802 272596203 291870682 437806023 545192406 875612046 1313418069 1605288751 2626836138 2860883383 3210577502 4815866253 5721766766 8582650149 9631732506 14447598759 17165300298 25747950447 28895197518 31469717213 51495900894 62939434426 94409151639 151626819299 188818303278 283227454917 303253638598 454880457897 566454909834 909760915794 1364641373691 1667895012289 2729282747382 3335790024578 5003685036867 10007370073734 15011055110601 30022110221202