Search a number
-
+
310301132003120 = 24519204145481581
BaseRepresentation
bin100011010001101111001110…
…0101111110001011100110000
31111200200111110102011120210002
41012203132130233301130300
5311132433204243044440
63015542212213125132
7122234342215003466
oct10643363457613460
91450614412146702
10310301132003120
118a964a75533505
122a9765313297a8
131041b36aa6656b
14568a925176836
1525d19a0519115
hex11a379cbf1730

310301132003120 has 40 divisors (see below), whose sum is σ = 759421191485040. Its totient is φ = 117587797390080.

The previous prime is 310301132003047. The next prime is 310301132003221. The reversal of 310301132003120 is 21300231103013.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 310301132003092 and 310301132003101.

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, 102072739271 + ... + 102072742310.

It is an arithmetic number, because the mean of its divisors is an integer number (18985529787126).

Almost surely, 2310301132003120 is an apocalyptic number.

It is an amenable number.

310301132003120 is an abundant number, since it is smaller than the sum of its proper divisors (449120059481920).

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

310301132003120 is a wasteful number, since it uses less digits than its factorization.

310301132003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204145481613 (or 204145481607 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 310301132003120 its reverse (21300231103013), we get a palindrome (331601363106133).

The spelling of 310301132003120 in words is "three hundred ten trillion, three hundred one billion, one hundred thirty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 204145481581 408290963162 816581926324 1020727407905 1633163852648 2041454815810 3266327705296 3878764150039 4082909631620 7757528300078 8165819263240 15515056600156 16331638526480 19393820750195 31030113200312 38787641500390 62060226400624 77575283000780 155150566001560 310301132003120