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354544212220013 = 712231069148714087
BaseRepresentation
bin101000010011101001100000…
…1110100111001100001101101
31201111100002120202002202020202
41100213103001310321201231
5332432323021312020023
63254015210152123245
7134451655043602424
oct12047230164714155
91644302522082222
10354544212220013
11a2a723a0938982
1233921063396525
13122aa4b66ba6ca
14637a0623682bb
152aec796789128
hex14274c1d3986d

354544212220013 has 32 divisors (see below), whose sum is σ = 361756686090240. Its totient is φ = 347399157309120.

The previous prime is 354544212219959. The next prime is 354544212220019. The reversal of 354544212220013 is 310022212445453.

It is a cyclic number.

It is not a de Polignac number, because 354544212220013 - 26 = 354544212219949 is a prime.

It is a super-5 number, since 5×3545442122200135 (a number of 74 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354544212220019) 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, 25168177256 + ... + 25168191342.

It is an arithmetic number, because the mean of its divisors is an integer number (11304896440320).

Almost surely, 2354544212220013 is an apocalyptic number.

It is an amenable number.

354544212220013 is a deficient number, since it is larger than the sum of its proper divisors (7212473870227).

354544212220013 is a wasteful number, since it uses less digits than its factorization.

354544212220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937.

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 354544212220013 its reverse (310022212445453), we get a palindrome (664566424665466).

The spelling of 354544212220013 in words is "three hundred fifty-four trillion, five hundred forty-four billion, two hundred twelve million, two hundred twenty thousand, thirteen".

Divisors: 1 71 223 1069 1487 14087 15833 75899 105577 238387 331601 1000177 1589603 3141401 15059003 16925477 20947369 23543671 112861813 223039471 354481469 1069189213 1487263199 3358157669 4671263287 22392737461 25168184299 238429194499 331659693377 1589884359731 4993580453803 354544212220013