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131003119 = 13191792963
BaseRepresentation
bin1111100111011…
…11001011101111
3100010111122111101
413303233023233
5232014044434
620555503531
73150336202
oct763571357
9303448441
10131003119
1167a47645
1237a57ba7
13211aa250
1413581939
15b77ab14
hex7cef2ef

131003119 has 16 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 113882976.

The previous prime is 131003113. The next prime is 131003149. The reversal of 131003119 is 911300131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131003119 - 23 = 131003111 is a prime.

It is a super-2 number, since 2×1310031192 = 34323634375456322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 131003096 and 131003105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003111) 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, 42732 + ... + 45694.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2131003119 is an apocalyptic number.

131003119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131003119 is a deficient number, since it is larger than the sum of its proper divisors (18382481).

131003119 is a wasteful number, since it uses less digits than its factorization.

131003119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 131003119 is about 11445.6593955962. The cubic root of 131003119 is about 507.8793384762.

The spelling of 131003119 in words is "one hundred thirty-one million, three thousand, one hundred nineteen".

Divisors: 1 13 19 179 247 2327 2963 3401 38519 44213 56297 530377 731861 6894901 10077163 131003119