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30021311000 = 23531910714767
BaseRepresentation
bin11011111101011010…
…001101101000011000
32212111020101121120102
4123331122031220120
5442440423423000
621442552514532
72111645635022
oct337532155030
985436347512
1030021311000
111180627a32a
12599a0aba48
132aa5917165
14164b1d5012
15baa9383d5
hex6fd68da18

30021311000 has 128 divisors (see below), whose sum is σ = 74643379200. Its totient is φ = 11269411200.

The previous prime is 30021310987. The next prime is 30021311077. The reversal of 30021311000 is 11312003.

It is a super-2 number, since 2×300213110002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025617 + ... + 2040383.

It is an arithmetic number, because the mean of its divisors is an integer number (583151400).

Almost surely, 230021311000 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 30021311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37321689600).

30021311000 is an abundant number, since it is smaller than the sum of its proper divisors (44622068200).

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

30021311000 is a wasteful number, since it uses less digits than its factorization.

30021311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 30021311000 its reverse (11312003), we get a palindrome (30032623003).

The spelling of 30021311000 in words is "thirty billion, twenty-one million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 107 125 152 190 200 214 250 380 428 475 500 535 760 856 950 1000 1070 1900 2033 2140 2375 2675 3800 4066 4280 4750 5350 8132 9500 10165 10700 13375 14767 16264 19000 20330 21400 26750 29534 40660 50825 53500 59068 73835 81320 101650 107000 118136 147670 203300 254125 280573 295340 369175 406600 508250 561146 590680 738350 1016500 1122292 1402865 1476700 1580069 1845875 2033000 2244584 2805730 2953400 3160138 3691750 5611460 6320276 7014325 7383500 7900345 11222920 12640552 14028650 14767000 15800690 28057300 30021311 31601380 35071625 39501725 56114600 60042622 63202760 70143250 79003450 120085244 140286500 150106555 158006900 197508625 240170488 280573000 300213110 316013800 395017250 600426220 750532775 790034500 1200852440 1501065550 1580069000 3002131100 3752663875 6004262200 7505327750 15010655500 30021311000