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120040011 = 327131031423
BaseRepresentation
bin1110010011110…
…10101001001011
322100212122221100
413021322221023
5221212240021
615524512443
72655215610
oct711725113
9270778840
10120040011
1161839923
123424b723
131bb3c1c0
1411d2a507
15a812626
hex727aa4b

120040011 has 48 divisors (see below), whose sum is σ = 215627776. Its totient is φ = 62659008.

The previous prime is 120040003. The next prime is 120040027. The reversal of 120040011 is 110040021.

It is a happy number.

It is not a de Polignac number, because 120040011 - 23 = 120040003 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 = 120039975 and 120040002.

It is not an unprimeable number, because it can be changed into a prime (120040001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83646 + ... + 85068.

Almost surely, 2120040011 is an apocalyptic number.

120040011 is a deficient number, since it is larger than the sum of its proper divisors (95587765).

120040011 is a wasteful number, since it uses less digits than its factorization.

120040011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120040011 is about 10956.2772418372. The cubic root of 120040011 is about 493.2972285585.

Adding to 120040011 its reverse (110040021), we get a palindrome (230080032).

The spelling of 120040011 in words is "one hundred twenty million, forty thousand, eleven".

Divisors: 1 3 7 9 13 21 39 63 91 103 117 273 309 721 819 927 1339 1423 2163 4017 4269 6489 9373 9961 12051 12807 18499 28119 29883 55497 84357 89649 129493 146569 166491 388479 439707 1025983 1165437 1319121 1905397 3077949 5716191 9233847 13337779 17148573 40013337 120040011