Search a number
-
+
30212013242142 = 23247103521665479
BaseRepresentation
bin1101101111010010010000…
…10100010011011100011110
310221222020111011000101010200
412313221020110103130132
512424443200342222032
6144131112434444330
76235513565251614
oct667511024233436
9127866434011120
1030212013242142
11969892a938946
12347b35a1336a6
1313b1c9957b414
147663aab356b4
15375d3cc3747c
hex1b7a4851371e

30212013242142 has 96 divisors (see below), whose sum is σ = 67630826465280. Its totient is φ = 9741959061120.

The previous prime is 30212013242141. The next prime is 30212013242183. The reversal of 30212013242142 is 24124231021203.

30212013242142 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 201 + 32 + 421 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30212013242141) 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 47 ways as a sum of consecutive naturals, for example, 45066159 + ... + 45731637.

It is an arithmetic number, because the mean of its divisors is an integer number (704487775680).

Almost surely, 230212013242142 is an apocalyptic number.

30212013242142 is an abundant number, since it is smaller than the sum of its proper divisors (37418813223138).

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

30212013242142 is a wasteful number, since it uses less digits than its factorization.

30212013242142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666158 (or 666155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30212013242142 its reverse (24124231021203), we get a palindrome (54336244263345).

The spelling of 30212013242142 in words is "thirty trillion, two hundred twelve billion, thirteen million, two hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 103 141 206 282 309 423 521 618 846 927 1042 1563 1854 3126 4689 4841 9378 9682 14523 24487 29046 43569 48974 53663 73461 87138 107326 146922 160989 220383 321978 440766 482967 665479 965934 1330958 1996437 2522161 3992874 5044322 5989311 7566483 11978622 15132966 22699449 31277513 45398898 62555026 68544337 93832539 137088674 187665078 205633011 281497617 346714559 411266022 562995234 616899033 693429118 1040143677 1233798066 2080287354 3120431031 3221583839 6240862062 6443167678 9664751517 16295584273 19329503034 28994254551 32591168546 35711599577 48886752819 57988509102 71423199154 97773505638 107134798731 146660258457 214269597462 293320516914 321404396193 642808792386 1678445180119 3356890360238 5035335540357 10070671080714 15106006621071 30212013242142