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12145154543313 = 31117569191319889
BaseRepresentation
bin1011000010111100001110…
…0111110100111011010001
31121000001202200221220200020
42300233003213310323101
53042441234030341223
641455223523414053
72362313152200621
oct260570347647321
947001680856606
1012145154543313
1139628051306a0
12144198b824329
136a138b1402bc
142ddb85a1a881
15160dcb4241e3
hexb0bc39f4ed1

12145154543313 has 64 divisors (see below), whose sum is σ = 18748447660800. Its totient is φ = 6911579586560.

The previous prime is 12145154543303. The next prime is 12145154543323. The reversal of 12145154543313 is 31334545154121.

It is an interprime number because it is at equal distance from previous prime (12145154543303) and next prime (12145154543323).

It is not a de Polignac number, because 12145154543313 - 213 = 12145154535121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12145154543303) 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, 610636873 + ... + 610656761.

It is an arithmetic number, because the mean of its divisors is an integer number (292944494700).

Almost surely, 212145154543313 is an apocalyptic number.

It is an amenable number.

12145154543313 is a deficient number, since it is larger than the sum of its proper divisors (6603293117487).

12145154543313 is a wasteful number, since it uses less digits than its factorization.

12145154543313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22402.

The product of its digits is 432000, while the sum is 42.

Adding to 12145154543313 its reverse (31334545154121), we get a palindrome (43479699697434).

The spelling of 12145154543313 in words is "twelve trillion, one hundred forty-five billion, one hundred fifty-four million, five hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 11 17 33 51 187 561 569 1707 1913 5739 6259 9673 18777 19889 21043 29019 32521 59667 63129 97563 106403 218779 319209 338113 357731 656337 1014339 1073193 1088497 3265491 3719243 11157729 11316841 11973467 18504449 33950523 35920401 38047657 55513347 114142971 124485251 192386297 203548939 373455753 418524227 577158891 610646817 646810169 1255572681 1940430507 2116249267 6348747801 7114911859 21344735577 21649116833 64947350499 238140285163 368034986161 714420855489 1104104958483 4048384847771 12145154543313