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131042121 = 373347367
BaseRepresentation
bin1111100111110…
…00101101001001
3100010120121222220
413303320231021
5232021321441
621000404253
73150561000
oct763705511
9303517886
10131042121
1167a73981
1237a76689
13211c1c22
1413591c37
15b787466
hex7cf8b49

131042121 has 32 divisors (see below), whose sum is σ = 204902400. Its totient is φ = 74461968.

The previous prime is 131042101. The next prime is 131042161. The reversal of 131042121 is 121240131.

It is not a de Polignac number, because 131042121 - 215 = 131009353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131042121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356880 + ... + 357246.

It is an arithmetic number, because the mean of its divisors is an integer number (6403200).

Almost surely, 2131042121 is an apocalyptic number.

It is an amenable number.

131042121 is a deficient number, since it is larger than the sum of its proper divisors (73860279).

131042121 is an equidigital number, since it uses as much as digits as its factorization.

131042121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131042121 is about 11447.3630588009. The cubic root of 131042121 is about 507.9297350995.

Adding to 131042121 its reverse (121240131), we get a palindrome (252282252).

It can be divided in two parts, 13104 and 2121, that added together give a triangular number (15225 = T174).

The spelling of 131042121 in words is "one hundred thirty-one million, forty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 49 147 343 347 367 1029 1041 1101 2429 2569 7287 7707 17003 17983 51009 53949 119021 125881 127349 357063 377643 382047 891443 2674329 6240101 18720303 43680707 131042121