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1321201223001 = 3211179233331957
BaseRepresentation
bin10011001110011101101…
…110101100010101011001
311200022020210012011122200
4103032131232230111121
5133121310003114001
62450541303240413
7164311412046222
oct23163556542531
94608223164580
101321201223001
1146a3557128a0
12194083749109
13977866040ca
1447d371dc249
152457a36e086
hex1339dbac559

1321201223001 has 48 divisors (see below), whose sum is σ = 2094486413760. Its totient is φ = 795888466560.

The previous prime is 1321201222961. The next prime is 1321201223003. The reversal of 1321201223001 is 1003221021231.

1321201223001 is a `hidden beast` number, since 1 + 321 + 20 + 1 + 22 + 300 + 1 = 666.

It is not a de Polignac number, because 1321201223001 - 26 = 1321201222937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1321201223003) 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 47 ways as a sum of consecutive naturals, for example, 41327115 + ... + 41359071.

It is an arithmetic number, because the mean of its divisors is an integer number (43635133620).

Almost surely, 21321201223001 is an apocalyptic number.

1321201223001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321201223001 is a deficient number, since it is larger than the sum of its proper divisors (773285190759).

1321201223001 is a wasteful number, since it uses less digits than its factorization.

1321201223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34486 (or 34483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321201223001 its reverse (1003221021231), we get a palindrome (2324422244232).

The spelling of 1321201223001 in words is "one trillion, three hundred twenty-one billion, two hundred one million, two hundred twenty-three thousand, one".

Divisors: 1 3 9 11 33 99 179 537 1611 1969 2333 5907 6999 17721 20997 25663 31957 76989 95871 230967 287613 351527 417607 1054581 1252821 3163743 3758463 4593677 5720303 13781031 17160909 41343093 51482727 62923333 74555681 188769999 223667043 566309997 671001129 820112491 2460337473 7381012419 13345466899 40036400697 120109202091 146800135889 440400407667 1321201223001