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1331331212029 = 7131919727114423
BaseRepresentation
bin10011010111111001100…
…001100010001011111101
311201021101202112221012111
4103113321201202023331
5133303031242241104
62455334412134021
7165120425405020
oct23277141421375
94637352487174
101331331212029
11473683841555
12196030167311
139870c205060
144861871b1b7
152496e857404
hex135f98622fd

1331331212029 has 64 divisors (see below), whose sum is σ = 1740074434560. Its totient is φ = 989123063040.

The previous prime is 1331331211993. The next prime is 1331331212129. The reversal of 1331331212029 is 9202121331331.

It is a happy number.

It is not a de Polignac number, because 1331331212029 - 215 = 1331331179261 is a prime.

It is a super-2 number, since 2×13313312120292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331331212129) 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 63 ways as a sum of consecutive naturals, for example, 92298912 + ... + 92313334.

It is an arithmetic number, because the mean of its divisors is an integer number (27188663040).

Almost surely, 21331331212029 is an apocalyptic number.

1331331212029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1331331212029 is a deficient number, since it is larger than the sum of its proper divisors (408743222531).

1331331212029 is a wasteful number, since it uses less digits than its factorization.

1331331212029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 1331331212029 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-one million, two hundred twelve thousand, twenty-nine".

Divisors: 1 7 13 19 91 133 197 247 271 1379 1729 1897 2561 3523 3743 5149 14423 17927 24661 26201 36043 48659 53387 66937 100961 187499 274037 340613 373709 468559 694031 1014353 1312493 1918259 2841331 3562481 3908633 4858217 7100471 13186589 19889317 24937367 27360431 36937303 50812229 53985289 74264027 92306123 258561121 355685603 377897023 519848189 701808757 770000701 965432351 4912661299 5390004907 6758026457 10010009113 14630013319 70070063791 102410093233 190190173147 1331331212029