Search a number
-
+
310222230003213 = 311436011063134217
BaseRepresentation
bin100011010001001010011110…
…1110100100001111000001101
31111200101221210121010200202020
41012202110331310201320031
5311130140111340100323
63015442043001320353
7122225550025035363
oct10642247564417015
91450357717120666
10310222230003213
118a9345663a6120
122a9631911960b9
1310413aa5262058
145686b9c179633
1525ce8d3638ae3
hex11a253dd21e0d

310222230003213 has 64 divisors (see below), whose sum is σ = 462551394945024. Its totient is φ = 183312904320000.

The previous prime is 310222230003163. The next prime is 310222230003221. The reversal of 310222230003213 is 312300032222013.

It is not a de Polignac number, because 310222230003213 - 222 = 310222225808909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310222230003613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9066301681 + ... + 9066335897.

It is an arithmetic number, because the mean of its divisors is an integer number (7227365546016).

Almost surely, 2310222230003213 is an apocalyptic number.

310222230003213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310222230003213 is a deficient number, since it is larger than the sum of its proper divisors (152329164941811).

310222230003213 is a wasteful number, since it uses less digits than its factorization.

310222230003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45506.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 310222230003213 its reverse (312300032222013), we get a palindrome (622522262225226).

The spelling of 310222230003213 in words is "three hundred ten trillion, two hundred twenty-two billion, two hundred thirty million, three thousand, two hundred thirteen".

Divisors: 1 3 11 33 43 129 473 601 1419 1803 6611 10631 19833 25843 31893 34217 77529 102651 116941 284273 350823 376387 457133 852819 1129161 1371399 1471331 4413993 5028463 6389231 15085389 16184641 19167693 20564417 48553923 61693251 70281541 210844623 226208587 274736933 363760927 678625761 824210799 884269931 1091282781 2652809793 3022106263 4001370197 9066318789 9726969241 12004110591 15641719861 29180907723 46925159583 172058918471 218620317127 516176755413 655860951381 2404823488397 7214470465191 9400673636461 28202020909383 103407410001071 310222230003213