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30021100020 = 223251717775521
BaseRepresentation
bin11011111101011001…
…011010000111110100
32212111012222220011100
4123331121122013310
5442440400200040
621442544210100
72111644065642
oct337531320764
985435886140
1030021100020
111180614586a
12599a009930
132aa5872112
14164b17c192
15baa8e5b30
hex6fd65a1f4

30021100020 has 144 divisors (see below), whose sum is σ = 96492444048. Its totient is φ = 7529103360.

The previous prime is 30021100009. The next prime is 30021100027. The reversal of 30021100020 is 2000112003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32558436 + 29988541584 = 5706^2 + 173172^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30021099975 and 30021100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30021100027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5434860 + ... + 5440380.

It is an arithmetic number, because the mean of its divisors is an integer number (670086417).

Almost surely, 230021100020 is an apocalyptic number.

30021100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48246222024).

30021100020 is an abundant number, since it is smaller than the sum of its proper divisors (66471344028).

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

30021100020 is a wasteful number, since it uses less digits than its factorization.

30021100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30021100020 its reverse (2000112003), we get a palindrome (32021212023).

The spelling of 30021100020 in words is "thirty billion, twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1777 3060 3554 5331 5521 7108 8885 10662 11042 15993 16563 17770 21324 22084 26655 27605 30209 31986 33126 35540 49689 53310 55210 60418 63972 66252 79965 82815 90627 93857 99378 106620 110420 120836 151045 159930 165630 181254 187714 198756 248445 271881 281571 302090 319860 331260 362508 375428 453135 469285 496890 543762 563142 604180 844713 906270 938570 993780 1087524 1126284 1359405 1407855 1689426 1812540 1877140 2718810 2815710 3378852 4223565 5437620 5631420 8447130 9810817 16894260 19621634 29432451 39243268 49054085 58864902 88297353 98108170 117729804 147162255 166783889 176594706 196216340 294324510 333567778 353189412 441486765 500351667 588649020 667135556 833919445 882973530 1000703334 1501055001 1667838890 1765947060 2001406668 2501758335 3002110002 3335677780 5003516670 6004220004 7505275005 10007033340 15010550010 30021100020