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30200312124 = 22323761491757
BaseRepresentation
bin11100001000000101…
…000011000100111100
32212221201012210221200
4130020011003010330
5443322234441444
621512425255500
72116251263133
oct341005030474
985851183850
1030200312124
111189831a544
125a2a034590
132b03a2b498
141666cac91a
15bbb4e5969
hex70814313c

30200312124 has 144 divisors (see below), whose sum is σ = 79955986656. Its totient is φ = 9601804800.

The previous prime is 30200312119. The next prime is 30200312141. The reversal of 30200312124 is 42121300203.

30200312124 is a `hidden beast` number, since 30 + 200 + 312 + 124 = 666.

It is a super-3 number, since 3×302003121243 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30200312097 and 30200312106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39894354 + ... + 39895110.

Almost surely, 230200312124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977993328).

30200312124 is an abundant number, since it is smaller than the sum of its proper divisors (49755674532).

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

30200312124 is a wasteful number, since it uses less digits than its factorization.

30200312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30200312124 its reverse (42121300203), we get a palindrome (72321612327).

The spelling of 30200312124 in words is "thirty billion, two hundred million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 61 74 111 122 148 183 222 244 333 366 444 491 549 666 732 757 982 1098 1332 1473 1514 1964 2196 2257 2271 2946 3028 4419 4514 4542 5892 6771 6813 8838 9028 9084 13542 13626 17676 18167 20313 27084 27252 28009 29951 36334 40626 46177 54501 56018 59902 72668 81252 84027 89853 92354 109002 112036 119804 138531 163503 168054 179706 184708 218004 252081 269559 277062 327006 336108 359412 371687 415593 504162 539118 554124 654012 743374 831186 1008324 1078236 1108187 1115061 1486748 1662372 1708549 2216374 2230122 3324561 3345183 3417098 4432748 4460244 5125647 6649122 6690366 6834196 9973683 10251294 13298244 13380732 13752419 15376941 19947366 20502588 22672907 27504838 30753882 39894732 41257257 45345814 55009676 61507764 68018721 82514514 90691628 123771771 136037442 165029028 204056163 247543542 272074884 408112326 495087084 816224652 838897559 1677795118 2516692677 3355590236 5033385354 7550078031 10066770708 15100156062 30200312124