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30230101120 = 275293744021
BaseRepresentation
bin11100001001110110…
…101011110010000000
32220000210021020202211
4130021312223302000
5443402401213440
621515411551504
72120062422412
oct341166536200
986023236684
1030230101120
111190311644a
125a37bbb594
132b09c5b3cb
14166ac249b2
15bbde2beea
hex709dabc80

30230101120 has 128 divisors (see below), whose sum is σ = 76783172400. Its totient is φ = 11359272960.

The previous prime is 30230101117. The next prime is 30230101123. The reversal of 30230101120 is 2110103203.

It is an interprime number because it is at equal distance from previous prime (30230101117) and next prime (30230101123).

It can be written as a sum of positive squares in 8 ways, for example, as 18808476736 + 11421624384 = 137144^2 + 106872^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 30230101120.

It is not an unprimeable number, because it can be changed into a prime (30230101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664710 + ... + 708730.

Almost surely, 230230101120 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 30230101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38391586200).

30230101120 is an abundant number, since it is smaller than the sum of its proper divisors (46553071280).

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

30230101120 is a wasteful number, since it uses less digits than its factorization.

30230101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44106 (or 44094 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30230101120 its reverse (2110103203), we get a palindrome (32340204323).

The spelling of 30230101120 in words is "thirty billion, two hundred thirty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 290 296 320 370 464 580 592 640 740 928 1073 1160 1184 1480 1856 2146 2320 2368 2960 3712 4292 4640 4736 5365 5920 8584 9280 10730 11840 17168 18560 21460 23680 34336 42920 44021 68672 85840 88042 137344 171680 176084 220105 343360 352168 440210 686720 704336 880420 1276609 1408672 1628777 1760840 2553218 2817344 3257554 3521680 5106436 5634688 6383045 6515108 7043360 8143885 10212872 12766090 13030216 14086720 16287770 20425744 25532180 26060432 28173440 32575540 40851488 47234533 51064360 52120864 65151080 81702976 94469066 102128720 104241728 130302160 163405952 188938132 204257440 208483456 236172665 260604320 377876264 408514880 472345330 521208640 755752528 817029760 944690660 1042417280 1511505056 1889381320 3023010112 3778762640 6046020224 7557525280 15115050560 30230101120