Search a number
-
+
2312023032320 = 2958910993097
BaseRepresentation
bin100001101001001111010…
…011111100001000000000
322012000201212020012110112
4201221033103330020000
5300340010344013240
64530043445250452
7326016041342651
oct41511723741000
98160655205415
102312023032320
11811583800231
12314103a03a28
1313a03b230191
147dc8c6c7528
154021ae5b665
hex21a4f4fc200

2312023032320 has 160 divisors (see below), whose sum is σ = 5657211687600. Its totient is φ = 906019209216.

The previous prime is 2312023032313. The next prime is 2312023032323. The reversal of 2312023032320 is 232303202132.

It can be written as a sum of positive squares in 8 ways, for example, as 633692418304 + 1678330614016 = 796048^2 + 1295504^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2312023032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24788012 + ... + 24881108.

Almost surely, 22312023032320 is an apocalyptic number.

2312023032320 is a gapful number since it is divisible by the number (20) 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 2312023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828605843800).

2312023032320 is an abundant number, since it is smaller than the sum of its proper divisors (3345188655280).

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

2312023032320 is an equidigital number, since it uses as much as digits as its factorization.

2312023032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93318 (or 93302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2312023032320 its reverse (232303202132), we get a palindrome (2544326234452).

The spelling of 2312023032320 in words is "two trillion, three hundred twelve billion, twenty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 109 128 160 178 218 256 320 356 436 445 512 545 640 712 872 890 1090 1280 1424 1744 1780 2180 2560 2848 3488 3560 4360 5696 6976 7120 8720 9701 11392 13952 14240 17440 19402 22784 27904 28480 34880 38804 45568 48505 55808 56960 69760 77608 93097 97010 113920 139520 155216 186194 194020 227840 279040 310432 372388 388040 465485 620864 744776 776080 930970 1241728 1489552 1552160 1861940 2483456 2979104 3104320 3723880 4966912 5958208 6208640 7447760 8285633 10147573 11916416 12417280 14895520 16571266 20295146 23832832 24834560 29791040 33142532 40590292 41428165 47665664 50737865 59582080 66285064 81180584 82856330 101475730 119164160 132570128 162361168 165712660 202951460 238328320 265140256 324722336 331425320 405902920 530280512 649444672 662850640 811805840 903133997 1060561024 1298889344 1325701280 1623611680 1806267994 2121122048 2597778688 2651402560 3247223360 3612535988 4242244096 4515669985 5195557376 5302805120 6494446720 7225071976 9031339970 10605610240 12988893440 14450143952 18062679940 21211220480 25977786880 28900287904 36125359880 57800575808 72250719760 115601151616 144501439520 231202303232 289002879040 462404606464 578005758080 1156011516160 2312023032320