Search a number
-
+
212300123312320 = 2655694591253969
BaseRepresentation
bin110000010001010111111001…
…011011111001000011000000
31000211200200201121200002210221
4300101113321123321003000
5210311311123031443240
62031305155155432424
762501114652360631
oct6021277133710300
91024620647602727
10212300123312320
1161710a81a5885a
121b9892298b5714
13915ca7b1c3b24
143a5d548c83888
1519826303caa4a
hexc115f96f90c0

212300123312320 has 112 divisors (see below), whose sum is σ = 506540442441600. Its totient is φ = 84752006676480.

The previous prime is 212300123312231. The next prime is 212300123312323. The reversal of 212300123312320 is 23213321003212.

It is not an unprimeable number, because it can be changed into a prime (212300123312323) 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, 835802296 + ... + 836056264.

It is an arithmetic number, because the mean of its divisors is an integer number (4522682521800).

Almost surely, 2212300123312320 is an apocalyptic number.

212300123312320 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 212300123312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253270221220800).

212300123312320 is an abundant number, since it is smaller than the sum of its proper divisors (294240319129280).

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

212300123312320 is a wasteful number, since it uses less digits than its factorization.

212300123312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259146 (or 259136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 212300123312320 its reverse (23213321003212), we get a palindrome (235513444315532).

The spelling of 212300123312320 in words is "two hundred twelve trillion, three hundred billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 569 1138 2276 2845 4552 4591 5690 9104 9182 11380 18208 18364 22760 22955 36416 36728 45520 45910 73456 91040 91820 146912 182080 183640 253969 293824 367280 507938 734560 1015876 1269845 1469120 2031752 2539690 2612279 4063504 5079380 5224558 8127008 10158760 10449116 13061395 16254016 20317520 20898232 26122790 40635040 41796464 52245580 81270080 83592928 104491160 144508361 167185856 208982320 289016722 417964640 578033444 722541805 835929280 1156066888 1165971679 1445083610 2312133776 2331943358 2890167220 4624267552 4663886716 5780334440 5829858395 9248535104 9327773432 11560668880 11659716790 18655546864 23121337760 23319433580 37311093728 46242675520 46638867160 74622187456 93277734320 186555468640 373110937280 663437885351 1326875770702 2653751541404 3317189426755 5307503082808 6634378853510 10615006165616 13268757707020 21230012331232 26537515414040 42460024662464 53075030828080 106150061656160 212300123312320