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30123254214 = 2337350915013
BaseRepresentation
bin11100000011011111…
…000110000111000110
32212202100012212101000
4130003133012013012
5443143023113324
621501033514130
72114324302404
oct340337060706
985670185330
1030123254214
1111858878819
125a08272946
132ac0a8b2a1
14165a970474
15bb48739c9
hex7037c61c6

30123254214 has 64 divisors (see below), whose sum is σ = 67995403200. Its totient is φ = 9883420416.

The previous prime is 30123254153. The next prime is 30123254267. The reversal of 30123254214 is 41245232103.

30123254214 is a `hidden beast` number, since 3 + 0 + 1 + 232 + 5 + 421 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998972 + ... + 2013984.

It is an arithmetic number, because the mean of its divisors is an integer number (1062428175).

Almost surely, 230123254214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123254214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997701600).

30123254214 is an abundant number, since it is smaller than the sum of its proper divisors (37872148986).

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

30123254214 is a wasteful number, since it uses less digits than its factorization.

30123254214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 30123254214 its reverse (41245232103), we get a palindrome (71368486317).

The spelling of 30123254214 in words is "thirty billion, one hundred twenty-three million, two hundred fifty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 509 657 1018 1314 1527 1971 3054 3942 4581 9162 13743 15013 27486 30026 37157 45039 74314 90078 111471 135117 222942 270234 334413 405351 668826 810702 1003239 1095949 2006478 2191898 3287847 6575694 7641617 9863541 15283234 19727082 22924851 29590623 45849702 59181246 68774553 137549106 206323659 412647318 557838041 1115676082 1673514123 3347028246 5020542369 10041084738 15061627107 30123254214