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131043252145 = 51367116325873
BaseRepresentation
bin111101000001011001…
…0010101011110110001
3110112020121222221112011
41322002302111132301
54121334033032040
6140111143402521
712316242156541
oct1720262253661
9415217887464
10131043252145
1150636554993
1221492153441
13c4850768b0
1464b1c75321
15361e73a3ea
hex1e82c957b1

131043252145 has 32 divisors (see below), whose sum is σ = 172030223232. Its totient is φ = 95240420352.

The previous prime is 131043252127. The next prime is 131043252161. The reversal of 131043252145 is 541252340131.

It is a cyclic number.

It is not a de Polignac number, because 131043252145 - 235 = 96683513777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5051929 + ... + 5077801.

It is an arithmetic number, because the mean of its divisors is an integer number (5375944476).

Almost surely, 2131043252145 is an apocalyptic number.

It is an amenable number.

131043252145 is a deficient number, since it is larger than the sum of its proper divisors (40986971087).

131043252145 is a wasteful number, since it uses less digits than its factorization.

131043252145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27121.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 131043252145 its reverse (541252340131), we get a palindrome (672295592276).

It can be divided in two parts, 13104 and 3252145, that added together give a square (3265249 = 18072).

The spelling of 131043252145 in words is "one hundred thirty-one billion, forty-three million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 5 13 65 67 335 871 1163 4355 5815 15119 25873 75595 77921 129365 336349 389605 1012973 1681745 1733491 5064865 8667455 22535383 30090299 112676915 150451495 391173887 1955869435 2016050033 10080250165 26208650429 131043252145