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131003148 = 223312111669
BaseRepresentation
bin1111100111011…
…11001100001100
3100010111122112110
413303233030030
5232014100043
620555504020
73150336243
oct763571414
9303448473
10131003148
1167a47671
1237a58010
13211aa273
141358195a
15b77ab33
hex7cef30c

131003148 has 48 divisors (see below), whose sum is σ = 317219840. Its totient is φ = 42033600.

The previous prime is 131003113. The next prime is 131003149. The reversal of 131003148 is 841300131.

It is a super-3 number, since 3×1310031483 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131003149) 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, 77658 + ... + 79326.

Almost surely, 2131003148 is an apocalyptic number.

It is an amenable number.

131003148 is an abundant number, since it is smaller than the sum of its proper divisors (186216692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131003148 is a wasteful number, since it uses less digits than its factorization.

131003148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131003148 is about 11445.6606624519. The cubic root of 131003148 is about 507.8793759524.

Adding to 131003148 its reverse (841300131), we get a palindrome (972303279).

The spelling of 131003148 in words is "one hundred thirty-one million, three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 211 372 422 633 844 1266 1669 2532 3338 5007 6541 6676 10014 13082 19623 20028 26164 39246 51739 78492 103478 155217 206956 310434 352159 620868 704318 1056477 1408636 2112954 4225908 10916929 21833858 32750787 43667716 65501574 131003148