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123001131 = 3117351059
BaseRepresentation
bin1110101010011…
…01100100101011
322120110002211110
413111031210223
5222442014011
620112201403
73022330611
oct725154453
9276402743
10123001131
1163481630
1235239263
131c637c46
141249b6b1
15abe9ba6
hex754d92b

123001131 has 16 divisors (see below), whose sum is σ = 181365120. Its totient is φ = 73523520.

The previous prime is 123001129. The next prime is 123001147. The reversal of 123001131 is 131100321.

It is not a de Polignac number, because 123001131 - 21 = 123001129 is a prime.

It is a super-2 number, since 2×1230011312 = 30258556454558322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23121 + ... + 27938.

It is an arithmetic number, because the mean of its divisors is an integer number (11335320).

Almost surely, 2123001131 is an apocalyptic number.

123001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123001131 is a deficient number, since it is larger than the sum of its proper divisors (58363989).

123001131 is a wasteful number, since it uses less digits than its factorization.

123001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51146.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 123001131 is about 11090.5874957100. The cubic root of 123001131 is about 497.3205076251.

Adding to 123001131 its reverse (131100321), we get a palindrome (254101452).

It can be divided in two parts, 12300 and 1131, that added together give a palindrome (13431).

The spelling of 123001131 in words is "one hundred twenty-three million, one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 73 219 803 2409 51059 153177 561649 1684947 3727307 11181921 41000377 123001131