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30121320020 = 22511293503929
BaseRepresentation
bin11100000011010111…
…101101111001010100
32212202012120121011012
4130003113231321110
5443142024220040
621500524231352
72114301665351
oct340327557124
985665517135
1030121320020
1111857777610
125a0769b558
132ac0561aac
14165a5c9628
15bb45e0865
hex7035ede54

30121320020 has 96 divisors (see below), whose sum is σ = 69453054720. Its totient is φ = 10882396160.

The previous prime is 30121320017. The next prime is 30121320023. The reversal of 30121320020 is 2002312103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30121320017) and next prime (30121320023).

It is a junction number, because it is equal to n+sod(n) for n = 30121319977 and 30121320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121320023) by changing a digit.

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, 32422916 + ... + 32423844.

It is an arithmetic number, because the mean of its divisors is an integer number (723469320).

Almost surely, 230121320020 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 30121320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34726527360).

30121320020 is an abundant number, since it is smaller than the sum of its proper divisors (39331734700).

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

30121320020 is a wasteful number, since it uses less digits than its factorization.

30121320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30121320020 its reverse (2002312103), we get a palindrome (32123632123).

The spelling of 30121320020 in words is "thirty billion, one hundred twenty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 503 586 929 1006 1172 1465 1858 2012 2515 2930 3223 3716 4645 5030 5533 5860 6446 9290 10060 10219 11066 12892 16115 18580 20438 22132 27665 32230 40876 51095 55330 64460 102190 110660 147379 204380 272197 294758 467287 544394 589516 736895 934574 1088788 1360985 1473790 1621169 1869148 2336435 2721970 2947580 2994167 3242338 4672870 5140157 5443940 5988334 6484676 8105845 9345740 10280314 11976668 14970835 16211690 20560628 25700785 29941670 32423380 51401570 59883340 102803140 136915091 273830182 547660364 684575455 1369150910 1506066001 2738301820 3012132002 6024264004 7530330005 15060660010 30121320020