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12213201102101 = 374371409264349
BaseRepresentation
bin1011000110111001101110…
…0000110110010100010101
31121020120101222120020222022
42301232123200312110111
53100100113440231401
641550400033342525
72400242336331446
oct261563340662425
947216358506868
1012213201102101
11398965369643a
121453000407a45
136a791396257c
1430319d0172cd
15162a602bc71b
hexb1b9b836515

12213201102101 has 32 divisors (see below), whose sum is σ = 13047639264000. Its totient is φ = 11415265666560.

The previous prime is 12213201102061. The next prime is 12213201102103. The reversal of 12213201102101 is 10120110231221.

It is a happy number.

12213201102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12213201102101 is a prime.

It is a super-2 number, since 2×122132011021012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12213201102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213201102103) 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, 46068875 + ... + 46333223.

It is an arithmetic number, because the mean of its divisors is an integer number (407738727000).

Almost surely, 212213201102101 is an apocalyptic number.

It is an amenable number.

12213201102101 is a deficient number, since it is larger than the sum of its proper divisors (834438161899).

12213201102101 is a wasteful number, since it uses less digits than its factorization.

12213201102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264909.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12213201102101 its reverse (10120110231221), we get a palindrome (22333311333322).

The spelling of 12213201102101 in words is "twelve trillion, two hundred thirteen billion, two hundred one million, one hundred two thousand, one hundred one".

Divisors: 1 37 43 71 409 1591 2627 3053 15133 17587 29039 112961 264349 650719 1074443 1248677 9780913 11367007 18768779 46201049 108118741 420579259 694444823 807057497 4000393417 4649105863 7676430611 29861127389 172016916931 284027932607 330086516273 12213201102101