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1221320019 = 319671931657
BaseRepresentation
bin100100011001011…
…1101110101010011
310011010010111002210
41020302331311103
510000124220034
6321105043203
742160022523
oct11062756523
93133114083
101221320019
11577448897
122a1026503
1316604a68a
14b82bd683
157234c8e9
hex48cbdd53

1221320019 has 32 divisors (see below), whose sum is σ = 1749786880. Its totient is φ = 755453952.

The previous prime is 1221319999. The next prime is 1221320021. The reversal of 1221320019 is 9100231221.

It is not a de Polignac number, because 1221320019 - 211 = 1221317971 is a prime.

It is a super-2 number, since 2×12213200192 = 2983245177620320722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1221319977 and 1221320004.

It is not an unprimeable number, because it can be changed into a prime (1221320029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736239 + ... + 737895.

It is an arithmetic number, because the mean of its divisors is an integer number (54680840).

Almost surely, 21221320019 is an apocalyptic number.

1221320019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1221320019 is a deficient number, since it is larger than the sum of its proper divisors (528466861).

1221320019 is a wasteful number, since it uses less digits than its factorization.

1221320019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1221320019 is about 34947.3893016345. The cubic root of 1221320019 is about 1068.9149681671.

The spelling of 1221320019 in words is "one billion, two hundred twenty-one million, three hundred twenty thousand, nineteen".

Divisors: 1 3 19 57 67 193 201 579 1273 1657 3667 3819 4971 11001 12931 31483 38793 94449 111019 245689 319801 333057 737067 959403 2109361 6076219 6328083 18228657 21426667 64280001 407106673 1221320019