Search a number
-
+
310311122132130 = 23572490759327579
BaseRepresentation
bin100011010001110011111000…
…0001101000101110010100010
31111200201110020122100201110020
41012203213300031011302202
5311133114134231212010
63015550543404214310
7122235144612464160
oct10643476015056242
91450643218321406
10310311122132130
118a969231716279
122a97845ab3a396
131041c2a06a8ac2
14568b1d1c8a230
1525d1d875c7470
hex11a39f0345ca2

310311122132130 has 64 divisors (see below), whose sum is σ = 851173264880640. Its totient is φ = 70925407568064.

The previous prime is 310311122132111. The next prime is 310311122132149. The reversal of 310311122132130 is 31231221113013.

It is an interprime number because it is at equal distance from previous prime (310311122132111) and next prime (310311122132149).

It is a super-2 number, since 2×3103111221321302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310311122132130.

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, 24433320 + ... + 34894259.

It is an arithmetic number, because the mean of its divisors is an integer number (13299582263760).

Almost surely, 2310311122132130 is an apocalyptic number.

310311122132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

310311122132130 is an abundant number, since it is smaller than the sum of its proper divisors (540862142748510).

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

310311122132130 is a wasteful number, since it uses less digits than its factorization.

310311122132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59352503.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 310311122132130 its reverse (31231221113013), we get a palindrome (341542343245143).

The spelling of 310311122132130 in words is "three hundred ten trillion, three hundred eleven billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 24907 49814 74721 124535 149442 174349 249070 348698 373605 523047 747210 871745 1046094 1743490 2615235 5230470 59327579 118655158 177982737 296637895 355965474 415293053 593275790 830586106 889913685 1245879159 1779827370 2076465265 2491758318 4152930530 6229395795 12458791590 1477672010153 2955344020306 4433016030459 7388360050765 8866032060918 10343704071071 14776720101530 20687408142142 22165080152295 31031112213213 44330160304590 51718520355355 62062224426426 103437040710710 155155561066065 310311122132130