Search a number
-
+
1002012219 = 321313961613
BaseRepresentation
bin111011101110010…
…111111000111011
32120211110111100200
4323232113320323
54023003342334
6243232333243
733554651265
oct7356277073
92524414320
101002012219
1147467867a
1223b6a4223
1312c793050
1497112b35
155ce7c799
hex3bb97e3b

1002012219 has 24 divisors (see below), whose sum is σ = 1569924720. Its totient is φ = 612176832.

The previous prime is 1002012211. The next prime is 1002012229. The reversal of 1002012219 is 9122102001.

It is not a de Polignac number, because 1002012219 - 23 = 1002012211 is a prime.

It is a super-3 number, since 3×10020122193 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1002012211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14544 + ... + 47069.

It is an arithmetic number, because the mean of its divisors is an integer number (65413530).

Almost surely, 21002012219 is an apocalyptic number.

1002012219 is a deficient number, since it is larger than the sum of its proper divisors (567912501).

1002012219 is a wasteful number, since it uses less digits than its factorization.

1002012219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61771 (or 61768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1002012219 is about 31654.5765885440. The cubic root of 1002012219 is about 1000.6702902772.

The spelling of 1002012219 in words is "one billion, two million, twelve thousand, two hundred nineteen".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 5421 16263 61613 184839 554517 800969 2402907 7208721 8564207 25692621 77077863 111334691 334004073 1002012219