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121000444001333 = 13171015420923973
BaseRepresentation
bin11011100000110010011100…
…011110110111110000110101
3120212102112021222200001202022
4123200302130132313300311
5111324432402131020313
61105202500411522525
734325664541656551
oct3340623436676065
9525375258601668
10121000444001333
1135611000188956
12116a2843a59445
1352693a66a19a0
1421c464a452861
15dec774d72c08
hex6e0c9c7b7c35

121000444001333 has 16 divisors (see below), whose sum is σ = 139339429827696. Its totient is φ = 104081740262400.

The previous prime is 121000444001317. The next prime is 121000444001399. The reversal of 121000444001333 is 333100444000121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6943319860324 + 114057124141009 = 2635018^2 + 10679753^2 .

It is a cyclic number.

It is not a de Polignac number, because 121000444001333 - 24 = 121000444001317 is a prime.

It is a super-2 number, since 2×1210004440013332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000444001933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710439666 + ... + 2710484307.

It is an arithmetic number, because the mean of its divisors is an integer number (8708714364231).

Almost surely, 2121000444001333 is an apocalyptic number.

121000444001333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121000444001333 is a deficient number, since it is larger than the sum of its proper divisors (18338985826363).

121000444001333 is a wasteful number, since it uses less digits than its factorization.

121000444001333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420924104.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 121000444001333 its reverse (333100444000121), we get a palindrome (454100888001454).

The spelling of 121000444001333 in words is "one hundred twenty-one trillion, four hundred forty-four million, one thousand, three hundred thirty-three".

Divisors: 1 13 17 101 221 1313 1717 22321 5420923973 70472011649 92155707541 547513321273 1198024198033 7117673176549 9307726461641 121000444001333