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30223013120 = 28567734877
BaseRepresentation
bin11100001001011011…
…101001010100000000
32220000021221010212022
4130021123221110000
5443344042404440
621515000021012
72116645241606
oct341133512400
986007833768
1030223013120
11118aa1150a3
125a35761768
132b08649121
141669cdb876
15bbd4cbcb5
hex7096e9500

30223013120 has 72 divisors (see below), whose sum is σ = 72502572744. Its totient is φ = 12071002112.

The previous prime is 30223013099. The next prime is 30223013131. The reversal of 30223013120 is 2131032203.

It can be written as a sum of positive squares in 4 ways, for example, as 16151359744 + 14071653376 = 127088^2 + 118624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849122 + ... + 883998.

It is an arithmetic number, because the mean of its divisors is an integer number (1006980177).

Almost surely, 230223013120 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 30223013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36251286372).

30223013120 is an abundant number, since it is smaller than the sum of its proper divisors (42279559624).

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

30223013120 is an equidigital number, since it uses as much as digits as its factorization.

30223013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35575 (or 35561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30223013120 its reverse (2131032203), we get a palindrome (32354045323).

The spelling of 30223013120 in words is "thirty billion, two hundred twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 677 1280 1354 2708 3385 5416 6770 10832 13540 21664 27080 34877 43328 54160 69754 86656 108320 139508 173312 174385 216640 279016 348770 433280 558032 697540 866560 1116064 1395080 2232128 2790160 4464256 5580320 8928512 11160640 22321280 23611729 44642560 47223458 94446916 118058645 188893832 236117290 377787664 472234580 755575328 944469160 1511150656 1888938320 3022301312 3777876640 6044602624 7555753280 15111506560 30223013120