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30012005430 = 232511277109441
BaseRepresentation
bin11011111100110110…
…101101110000110110
32212110120212211201200
4123330312231300312
5442431033133210
621442021233330
72111503560051
oct337466556066
985416784650
1030012005430
1111800aa3980
125996b62846
132aa3a096c4
141649c91a98
15ba9beb0c0
hex6fcdadc36

30012005430 has 96 divisors (see below), whose sum is σ = 85433051808. Its totient is φ = 7249305600.

The previous prime is 30012005399. The next prime is 30012005449. The reversal of 30012005430 is 3450021003.

30012005430 is a `hidden beast` number, since 3 + 0 + 0 + 120 + 0 + 543 + 0 = 666.

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

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, 219510 + ... + 328950.

It is an arithmetic number, because the mean of its divisors is an integer number (889927623).

Almost surely, 230012005430 is an apocalyptic number.

30012005430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012005430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42716525904).

30012005430 is an abundant number, since it is smaller than the sum of its proper divisors (55421046378).

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

30012005430 is a wasteful number, since it uses less digits than its factorization.

30012005430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109742 (or 109739 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 30012005430 its reverse (3450021003), we get a palindrome (33462026433).

The spelling of 30012005430 in words is "thirty billion, twelve million, five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 277 330 495 554 831 990 1385 1662 2493 2770 3047 4155 4986 6094 8310 9141 12465 15235 18282 24930 27423 30470 45705 54846 91410 109441 137115 218882 274230 328323 547205 656646 984969 1094410 1203851 1641615 1969938 2407702 3283230 3611553 4924845 6019255 7223106 9849690 10834659 12038510 18057765 21669318 30315157 36115530 54173295 60630314 90945471 108346590 151575785 181890942 272836413 303151570 333466727 454727355 545672826 666933454 909454710 1000400181 1364182065 1667333635 2000800362 2728364130 3001200543 3334667270 5002000905 6002401086 10004001810 15006002715 30012005430