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13212321303231 = 331944623577169
BaseRepresentation
bin1100000001000011101110…
…1101111100101010111111
31201210002022101111021022000
43000100323231330222333
53212432313223200411
644033353454553343
72532362432036301
oct300207355745277
951702271437260
1013212321303231
11423434aa27426
121594777808853
1374abbb88855b
143396a0681971
1517da39697956
hexc043bb7cabf

13212321303231 has 32 divisors (see below), whose sum is σ = 20604507264000. Its totient is φ = 8344422520704.

The previous prime is 13212321303221. The next prime is 13212321303253. The reversal of 13212321303231 is 13230312321231.

13212321303231 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 321 + 303 + 2 + 31 = 666.

It is not a de Polignac number, because 13212321303231 - 225 = 13212287748799 is a prime.

It is a super-2 number, since 2×132123213032312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13212321303195 and 13212321303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212321303211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22603015 + ... + 23180183.

It is an arithmetic number, because the mean of its divisors is an integer number (643890852000).

Almost surely, 213212321303231 is an apocalyptic number.

13212321303231 is a deficient number, since it is larger than the sum of its proper divisors (7392185960769).

13212321303231 is a wasteful number, since it uses less digits than its factorization.

13212321303231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621820 (or 621814 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13212321303231 its reverse (13230312321231), we get a palindrome (26442633624462).

The spelling of 13212321303231 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-one million, three hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 44623 133869 401607 577169 847837 1204821 1731507 2543511 5194521 7630533 10966211 15583563 22891599 32898633 98695899 296087697 25755012287 77265036861 231795110583 489345233453 695385331749 1468035700359 4404107101077 13212321303231