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30301000020 = 2234582322727
BaseRepresentation
bin11100001110000101…
…001001000101010100
32220012201200021210000
4130032011021011110
5444024024000040
621530423331300
72121613151634
oct341605110524
986181607700
1030301000020
111193a140885
125a578b0b30
132b1b853115
1416763dc6c4
15bc5284130
hex70e149154

30301000020 has 120 divisors (see below), whose sum is σ = 95175045504. Its totient is φ = 8070093504.

The previous prime is 30301000019. The next prime is 30301000027. The reversal of 30301000020 is 2000010303.

It is a happy number.

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 = 30300999966 and 30301000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30301000027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1321897 + ... + 1344623.

Almost surely, 230301000020 is an apocalyptic number.

30301000020 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 30301000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47587522752).

30301000020 is an abundant number, since it is smaller than the sum of its proper divisors (64874045484).

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

30301000020 is a wasteful number, since it uses less digits than its factorization.

30301000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23571 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30301000020 its reverse (2000010303), we get a palindrome (32301010323).

The spelling of 30301000020 in words is "thirty billion, three hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 823 1620 1646 2469 3292 4115 4938 7407 8230 9876 12345 14814 16460 22221 22727 24690 29628 37035 44442 45454 49380 66663 68181 74070 88884 90908 111105 113635 133326 136362 148140 204543 222210 227270 266652 272724 333315 340905 409086 444420 454540 613629 666630 681810 818172 1022715 1227258 1333260 1363620 1840887 2045430 2454516 3068145 3681774 4090860 6136290 7363548 9204435 12272580 18408870 18704321 36817740 37408642 56112963 74817284 93521605 112225926 168338889 187043210 224451852 280564815 336677778 374086420 505016667 561129630 673355556 841694445 1010033334 1122259260 1515050001 1683388890 2020066668 2525083335 3030100002 3366777780 5050166670 6060200004 7575250005 10100333340 15150500010 30301000020