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311213131330101 = 371113103634076367
BaseRepresentation
bin100011011000010111111010…
…0001001000111001000110101
31111210220200111012210122011020
41012300233310021013020311
5311242403443110030401
63021521201103531353
7122360256341245560
oct10660576411071065
91453820435718136
10311213131330101
1190186825365260
122aaa3233bb9b59
13104863704aca40
1456bcb200434d7
1525ea57b1d1d36
hex11b0bf4247235

311213131330101 has 32 divisors (see below), whose sum is σ = 557136794554368. Its totient is φ = 149233069967040.

The previous prime is 311213131330093. The next prime is 311213131330111. The reversal of 311213131330101 is 101033131312113.

It is not a de Polignac number, because 311213131330101 - 23 = 311213131330093 is a prime.

It is a super-2 number, since 2×3112131313301012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311213131330111) 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 31 ways as a sum of consecutive naturals, for example, 51817035181 + ... + 51817041186.

It is an arithmetic number, because the mean of its divisors is an integer number (17410524829824).

Almost surely, 2311213131330101 is an apocalyptic number.

It is an amenable number.

311213131330101 is a deficient number, since it is larger than the sum of its proper divisors (245923663224267).

311213131330101 is a wasteful number, since it uses less digits than its factorization.

311213131330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103634076401.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 311213131330101 its reverse (101033131312113), we get a palindrome (412246262642214).

The spelling of 311213131330101 in words is "three hundred eleven trillion, two hundred thirteen billion, one hundred thirty-one million, three hundred thirty thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 103634076367 310902229101 725438534569 1139974840037 1347242992771 2176315603707 3419924520111 4041728978313 7979823880259 9430700949397 14819672920481 23939471640777 28292102848191 44459018761443 103737710443367 311213131330101