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311430013231311 = 331312747963145661
BaseRepresentation
bin100011011001111100111001…
…1010011111010000011001111
31111211200102022002100202111000
41012303321303103322003033
5311304432131341400221
63022204550055431343
7122412035023061502
oct10663716323720317
91454612262322430
10311430013231311
119025a7aa561727
122ab19281385553
13104a09551b2870
1456c9416261139
1526010217a0e26
hex11b3e734fa0cf

311430013231311 has 64 divisors (see below), whose sum is σ = 500794625802240. Its totient is φ = 190134920142720.

The previous prime is 311430013231303. The next prime is 311430013231367. The reversal of 311430013231311 is 113132310034113.

311430013231311 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 300 + 1 + 32 + 313 + 11 = 666.

It is not a de Polignac number, because 311430013231311 - 23 = 311430013231303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311430013236311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2137973821 + ... + 2138119481.

It is an arithmetic number, because the mean of its divisors is an integer number (7824916028160).

Almost surely, 2311430013231311 is an apocalyptic number.

311430013231311 is a deficient number, since it is larger than the sum of its proper divisors (189364612570929).

311430013231311 is a wasteful number, since it uses less digits than its factorization.

311430013231311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193773 (or 193767 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 311430013231311 its reverse (113132310034113), we get a palindrome (424562323265424).

The spelling of 311430013231311 in words is "three hundred eleven trillion, four hundred thirty billion, thirteen million, two hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 117 127 351 381 1143 1651 3429 4953 14859 44577 47963 143889 145661 431667 436983 623519 1295001 1310949 1870557 1893593 3932847 5611671 5680779 6091301 16835013 17042337 18273903 18498947 51127011 54821709 55496841 79186913 164465127 166490523 237560739 240486311 499471569 712682217 721458933 2138046651 2164376799 6493130397 6986338543 20959015629 62877046887 90822401059 188631140661 272467203177 817401609531 887264994961 2452204828593 2661794984883 7985384954649 11534444934493 23956154863947 34603334803479 103810004410437 311430013231311