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30105245214 = 235116179127
BaseRepresentation
bin11100000010011010…
…011001011000011110
32212201002022220200000
4130002122121120132
5443123420321324
621455151515130
72114015235132
oct340232313036
985632286600
1030105245214
1111849698350
125a02228aa6
132aba124185
1416584033c2
15bb2eb79c9
hex70269961e

30105245214 has 96 divisors (see below), whose sum is σ = 73921026816. Its totient is φ = 9107017920.

The previous prime is 30105245197. The next prime is 30105245221. The reversal of 30105245214 is 41254250103.

30105245214 is a `hidden beast` number, since 30 + 105 + 2 + 4 + 521 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3293919 + ... + 3303045.

It is an arithmetic number, because the mean of its divisors is an integer number (770010696).

Almost surely, 230105245214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30105245214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960513408).

30105245214 is an abundant number, since it is smaller than the sum of its proper divisors (43815781602).

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

30105245214 is a wasteful number, since it uses less digits than its factorization.

30105245214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 30105245214 its reverse (41254250103), we get a palindrome (71359495317).

The spelling of 30105245214 in words is "thirty billion, one hundred five million, two hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 617 891 1234 1782 1851 2673 3702 5346 5553 6787 9127 11106 13574 16659 18254 20361 27381 33318 40722 49977 54762 61083 82143 99954 100397 122166 149931 164286 183249 200794 246429 299862 301191 366498 492858 549747 602382 739287 903573 1099494 1478574 1649241 1807146 2217861 2710719 3298482 4435722 5421438 5631359 8132157 11262718 16264314 16894077 24396471 33788154 48792942 50682231 61944949 101364462 123889898 152046693 185834847 304093386 371669694 456140079 557504541 912280158 1115009082 1368420237 1672513623 2736840474 3345027246 5017540869 10035081738 15052622607 30105245214