Search a number
-
+
311441111242300 = 2252132310416090677
BaseRepresentation
bin100011011010000010000100…
…0110011011101011000111100
31111211201110221112020010112001
41012310010020303131120330
5311310122343434223200
63022214023224352044
7122412610032443614
oct10664041063353074
91454643845203461
10311441111242300
1190264485052636
122ab1b45a015624
13104a1a03505580
1456c9b8a165a44
152601470c5076a
hex11b4108cdd63c

311441111242300 has 72 divisors (see below), whose sum is σ = 759458003514336. Its totient is φ = 109993917538560.

The previous prime is 311441111242271. The next prime is 311441111242307. The reversal of 311441111242300 is 3242111144113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311441111242307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5208015439 + ... + 5208075238.

It is an arithmetic number, because the mean of its divisors is an integer number (10548027826588).

Almost surely, 2311441111242300 is an apocalyptic number.

It is an amenable number.

311441111242300 is an abundant number, since it is smaller than the sum of its proper divisors (448016892272036).

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

311441111242300 is a wasteful number, since it uses less digits than its factorization.

311441111242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416090727 (or 10416090720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 311441111242300 its reverse (3242111144113), we get a palindrome (314683222386413).

The spelling of 311441111242300 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred eleven million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 10416090677 20832181354 41664362708 52080453385 104160906770 135409178801 208321813540 239570085571 260402266925 270818357602 479140171142 520804533850 541636715204 677045894005 958280342284 1041609067700 1197850427855 1354091788010 2395700855710 2708183576020 3114411112423 3385229470025 4791401711420 5989252139275 6228822224846 6770458940050 11978504278550 12457644449692 13540917880100 15572055562115 23957008557100 31144111124230 62288222248460 77860277810575 155720555621150 311441111242300