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107006211 = 33131779227
BaseRepresentation
bin1100110000011…
…00100100000011
321110100110221000
412120030210003
5204343144321
614341303043
72436352314
oct630144403
9243313830
10107006211
1155447394
122ba04a83
13192277b0
14102d660b
1595da826
hex660c903

107006211 has 64 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 60922368.

The previous prime is 107006197. The next prime is 107006239. The reversal of 107006211 is 112600701.

It is not a de Polignac number, because 107006211 - 26 = 107006147 is a prime.

It is a super-2 number, since 2×1070062112 = 22900658385153042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107006111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471280 + ... + 471506.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2107006211 is an apocalyptic number.

107006211 is a deficient number, since it is larger than the sum of its proper divisors (76852989).

107006211 is a wasteful number, since it uses less digits than its factorization.

107006211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107006211 is about 10344.3806484487. The cubic root of 107006211 is about 474.7551254909.

Adding to 107006211 its reverse (112600701), we get a palindrome (219606912).

The spelling of 107006211 in words is "one hundred seven million, six thousand, two hundred eleven".

Divisors: 1 3 9 13 17 27 39 51 79 117 153 221 227 237 351 459 663 681 711 1027 1343 1989 2043 2133 2951 3081 3859 4029 5967 6129 8853 9243 11577 12087 17459 17933 26559 27729 34731 36261 50167 52377 53799 79677 104193 150501 157131 161397 233129 304861 451503 471393 484191 699387 914583 1354509 2098161 2743749 3963193 6294483 8231247 11889579 35668737 107006211