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30321431000 = 2353719921767
BaseRepresentation
bin11100001111010011…
…000101000111011000
32220021011010021210222
4130033103011013120
5444044241243000
621532433255212
72122251624320
oct341723050730
986234107728
1030321431000
111194a725993
125a62704508
132b22b57763
141678dda280
15bc6e6ca85
hex70f4c51d8

30321431000 has 128 divisors (see below), whose sum is σ = 81499392000. Its totient is φ = 10343203200.

The previous prime is 30321430961. The next prime is 30321431003. The reversal of 30321431000 is 13412303.

It is a happy number.

It is a super-2 number, since 2×303214310002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30321431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321431003) by changing a digit.

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, 1382117 + ... + 1403883.

It is an arithmetic number, because the mean of its divisors is an integer number (636714000).

Almost surely, 230321431000 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 30321431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40749696000).

30321431000 is an abundant number, since it is smaller than the sum of its proper divisors (51177961000).

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

30321431000 is a wasteful number, since it uses less digits than its factorization.

30321431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994 (or 21980 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30321431000 its reverse (13412303), we get a palindrome (30334843303).

The spelling of 30321431000 in words is "thirty billion, three hundred twenty-one million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 199 200 250 280 350 398 500 700 796 875 995 1000 1393 1400 1592 1750 1990 2786 3500 3980 4975 5572 6965 7000 7960 9950 11144 13930 19900 21767 24875 27860 34825 39800 43534 49750 55720 69650 87068 99500 108835 139300 152369 174125 174136 199000 217670 278600 304738 348250 435340 544175 609476 696500 761845 870680 1088350 1218952 1393000 1523690 2176700 2720875 3047380 3809225 4331633 4353400 5441750 6094760 7618450 8663266 10883500 15236900 17326532 19046125 21658165 21767000 30321431 30473800 34653064 38092250 43316330 60642862 76184500 86632660 108290825 121285724 151607155 152369000 173265320 216581650 242571448 303214310 433163300 541454125 606428620 758035775 866326600 1082908250 1212857240 1516071550 2165816500 3032143100 3790178875 4331633000 6064286200 7580357750 15160715500 30321431000