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1002102111 = 35172353199
BaseRepresentation
bin111011101110101…
…101110101011111
32120211122001200000
4323232231311133
54023014231421
6243234305343
733555504333
oct7356556537
92524561600
101002102111
1147472a16a
1223b728253
1312c7c4c3a
14971377c3
155ce99226
hex3bbadd5f

1002102111 has 96 divisors (see below), whose sum is σ = 1698278400. Its totient is φ = 587119104.

The previous prime is 1002102109. The next prime is 1002102113. The reversal of 1002102111 is 1112012001.

It is a happy number.

1002102111 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (1002102109) and next prime (1002102113).

It is not a de Polignac number, because 1002102111 - 21 = 1002102109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002102093 and 1002102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002102113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5035590 + ... + 5035788.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 21002102111 is an apocalyptic number.

1002102111 is a deficient number, since it is larger than the sum of its proper divisors (696176289).

1002102111 is a wasteful number, since it uses less digits than its factorization.

1002102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1002102111 is about 31655.9964461711. The cubic root of 1002102111 is about 1000.7002132536.

Adding to 1002102111 its reverse (1112012001), we get a palindrome (2114114112).

The spelling of 1002102111 in words is "one billion, two million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 9 17 23 27 51 53 69 81 153 159 199 207 243 391 459 477 597 621 901 1173 1219 1377 1431 1791 1863 2703 3383 3519 3657 4131 4293 4577 5373 5589 8109 10149 10547 10557 10971 12879 13731 16119 20723 24327 30447 31641 31671 32913 41193 48357 62169 72981 77809 91341 94923 95013 98739 123579 179299 186507 218943 233427 242581 274023 284769 296217 370737 537897 559521 700281 727743 822069 854307 1112211 1613691 1678563 2100843 2183229 2562921 4123877 4841073 5035689 6302529 6549687 12371631 14523219 18907587 19649061 37114893 43569657 58947183 111344679 334034037 1002102111