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1310200221 = 31122326823
BaseRepresentation
bin100111000011000…
…0001000110011101
310101022101001211010
41032012001012131
510140402401341
6334002045433
744316342501
oct11606010635
93338331733
101310200221
11612634900
12306949879
1317b599a05
14c6018301
157a057716
hex4e18119d

1310200221 has 36 divisors (see below), whose sum is σ = 2007593504. Its totient is φ = 759425040.

The previous prime is 1310200187. The next prime is 1310200231. The reversal of 1310200221 is 1220020131.

It is not a de Polignac number, because 1310200221 - 225 = 1276645789 is a prime.

It is a super-3 number, since 3×13102002213 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310200197 and 1310200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310200231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188616 + ... + 195438.

Almost surely, 21310200221 is an apocalyptic number.

1310200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310200221 is a deficient number, since it is larger than the sum of its proper divisors (697393283).

1310200221 is a wasteful number, since it uses less digits than its factorization.

1310200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1310200221 is about 36196.6879838474. The cubic root of 1310200221 is about 1094.2399237275.

Adding to 1310200221 its reverse (1220020131), we get a palindrome (2530220352).

The spelling of 1310200221 in words is "one billion, three hundred ten million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 23 33 69 121 253 363 529 759 1587 2783 5819 6823 8349 17457 20469 64009 75053 156929 192027 225159 470787 825583 1726219 2476749 3609367 5178657 10828101 18988409 39703037 56965227 119109111 436733407 1310200221