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1002214213 = 7111323101431
BaseRepresentation
bin111011101111001…
…001001101000101
32120211211202102221
4323233021031011
54023031323323
6243240532341
733556452220
oct7357111505
92524752387
101002214213
114747a6410
1223b7810b1
1312c833c80
14971665b7
155cebc55d
hex3bbc9345

1002214213 has 64 divisors (see below), whose sum is σ = 1421328384. Its totient is φ = 681120000.

The previous prime is 1002214189. The next prime is 1002214217. The reversal of 1002214213 is 3124122001.

It is not a de Polignac number, because 1002214213 - 25 = 1002214181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002214217) 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 63 ways as a sum of consecutive naturals, for example, 2325108 + ... + 2325538.

It is an arithmetic number, because the mean of its divisors is an integer number (22208256).

Almost surely, 21002214213 is an apocalyptic number.

1002214213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002214213 is a deficient number, since it is larger than the sum of its proper divisors (419114171).

1002214213 is a wasteful number, since it uses less digits than its factorization.

1002214213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1002214213 is about 31657.7670248551. The cubic root of 1002214213 is about 1000.7375269203.

Adding to 1002214213 its reverse (3124122001), we get a palindrome (4126336214).

The spelling of 1002214213 in words is "one billion, two million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 7 11 13 23 77 91 101 143 161 253 299 431 707 1001 1111 1313 1771 2093 2323 3017 3289 4741 5603 7777 9191 9913 14443 16261 23023 25553 30199 33187 39221 43531 61633 69391 101101 109043 128869 178871 211393 304717 332189 431431 478841 565903 763301 902083 1001213 1417559 2325323 3351887 3961321 6224933 7008491 9922913 11013343 13015769 43574531 77093401 91110383 143173459 1002214213