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2300113330312 = 2371747113454921
BaseRepresentation
bin100001011110001001011…
…100000010000010001000
322010212222212000122200011
4201132021130002002020
5300141113003032222
64520354003121304
7325114644502450
oct41361134020210
98125885018604
102300113330312
118075220138a6
1231193b373234
13138b909c3125
147d47ca92d60
153ec705c5c77
hex21789702088

2300113330312 has 128 divisors (see below), whose sum is σ = 5376959677440. Its totient is φ = 899999170560.

The previous prime is 2300113330271. The next prime is 2300113330337. The reversal of 2300113330312 is 2130333110032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4828612 + ... + 5283532.

It is an arithmetic number, because the mean of its divisors is an integer number (42007497480).

Almost surely, 22300113330312 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 2300113330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688479838720).

2300113330312 is an abundant number, since it is smaller than the sum of its proper divisors (3076846347128).

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

2300113330312 is a wasteful number, since it uses less digits than its factorization.

2300113330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455111 (or 455107 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2300113330312 its reverse (2130333110032), we get a palindrome (4430446440344).

The spelling of 2300113330312 in words is "two trillion, three hundred billion, one hundred thirteen million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 113 119 136 188 226 238 329 376 452 476 658 791 799 904 952 1316 1582 1598 1921 2632 3164 3196 3842 5311 5593 6328 6392 7684 10622 11186 13447 15368 21244 22372 26894 37177 42488 44744 53788 74354 90287 107576 148708 180574 297416 361148 454921 632009 722296 909842 1264018 1819684 2528036 3184447 3639368 5056072 6368894 7733657 12737788 15467314 21381287 25475576 30934628 42762574 51406073 54135599 61869256 85525148 102812146 108271198 149669009 171050296 205624292 216542396 299338018 359842511 363481879 411248584 433084792 598676036 719685022 726963758 873903241 1197352072 1439370044 1453927516 1747806482 2416085431 2544373153 2878740088 2907855032 3495612964 4832170862 5088746306 6117322687 6991225928 9664341724 10177492612 12234645374 16912598017 19328683448 20354985224 24469290748 33825196034 41073452327 48938581496 67650392068 82146904654 135300784136 164293809308 287514166289 328587618616 575028332578 1150056665156 2300113330312