Search a number
-
+
312122030320 = 24519980320947
BaseRepresentation
bin1001000101010111110…
…11000011100011110000
31002211122022122222020001
410202223323003203300
520103211214432240
6355215322155344
731356450324532
oct4425373034360
91084568588201
10312122030320
11110408827081
12505a9052b54
132358234b509
141116d047852
1581bb9d689a
hex48abec38f0

312122030320 has 80 divisors (see below), whose sum is σ = 763991994240. Its totient is φ = 118260110592.

The previous prime is 312122030303. The next prime is 312122030359. The reversal of 312122030320 is 23030221213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3121220303202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14890087 + ... + 14911033.

It is an arithmetic number, because the mean of its divisors is an integer number (9549899928).

Almost surely, 2312122030320 is an apocalyptic number.

It is an amenable number.

312122030320 is an abundant number, since it is smaller than the sum of its proper divisors (451869963920).

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

312122030320 is a wasteful number, since it uses less digits than its factorization.

312122030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30782 (or 30776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 312122030320 its reverse (23030221213), we get a palindrome (335152251533).

The spelling of 312122030320 in words is "three hundred twelve billion, one hundred twenty-two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 9803 19606 20947 39212 41894 49015 78424 83788 98030 104735 156848 167576 186257 196060 209470 335152 372514 392120 397993 418940 745028 784240 795986 837880 931285 1490056 1591972 1675760 1862570 1989965 2980112 3183944 3725140 3979930 6367888 7450280 7959860 14900560 15919720 31839440 205343441 410686882 821373764 1026717205 1642747528 2053434410 3285495056 3901525379 4106868820 7803050758 8213737640 15606101516 16427475280 19507626895 31212203032 39015253790 62424406064 78030507580 156061015160 312122030320