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13100021214121 = 701129361144461
BaseRepresentation
bin1011111010100001011000…
…0111000110101110101001
31201101100110000001122211101
42332220112013012232221
53204112320412322441
643510022222201401
72521305511033552
oct276502607065651
951340400048741
1013100021214121
1141a0762505326
121576a56723261
137404329b4a9a
14334089c09329
1517ab656b2231
hexbea161c6ba9

13100021214121 has 8 divisors (see below), whose sum is σ = 13118901057288. Its totient is φ = 13081141920000.

The previous prime is 13100021214107. The next prime is 13100021214143. The reversal of 13100021214121 is 12141212000131.

It can be written as a sum of positive squares in 4 ways, for example, as 6766423525225 + 6333597688896 = 2601235^2 + 2516664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13100021214121 - 235 = 13065661475753 is a prime.

It is a super-2 number, since 2×131000212141212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100021217121) 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 7 ways as a sum of consecutive naturals, for example, 90609831 + ... + 90754291.

It is an arithmetic number, because the mean of its divisors is an integer number (1639862632161).

Almost surely, 213100021214121 is an apocalyptic number.

It is an amenable number.

13100021214121 is a deficient number, since it is larger than the sum of its proper divisors (18879843167).

13100021214121 is a wasteful number, since it uses less digits than its factorization.

13100021214121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274523.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 13100021214121 its reverse (12141212000131), we get a palindrome (25241233214252).

The spelling of 13100021214121 in words is "thirteen trillion, one hundred billion, twenty-one million, two hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 701 129361 144461 90682061 101267161 18687619421 13100021214121