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131033331 = 3211131753113
BaseRepresentation
bin1111100111101…
…10100011110011
3100010120011221100
413303312203303
5232021031311
621000255443
73150523242
oct763664363
9303504840
10131033331
1167a68310
1237a71583
13211bac20
141358c959
15b784a56
hex7cf68f3

131033331 has 96 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 67092480.

The previous prime is 131033327. The next prime is 131033333. The reversal of 131033331 is 133330131.

It is not a de Polignac number, because 131033331 - 22 = 131033327 is a prime.

It is a super-2 number, since 2×1310333312 = 34339467665911122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131033333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159531 + ... + 1159643.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882).

Almost surely, 2131033331 is an apocalyptic number.

131033331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131033331 is a deficient number, since it is larger than the sum of its proper divisors (110971341).

131033331 is a wasteful number, since it uses less digits than its factorization.

131033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131033331 is about 11446.9791211481. The cubic root of 131033331 is about 507.9183779313.

Adding to 131033331 its reverse (133330131), we get a palindrome (264363462).

The spelling of 131033331 in words is "one hundred thirty-one million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 17 33 39 51 53 99 113 117 143 153 159 187 221 339 429 477 561 583 663 689 901 1017 1243 1287 1469 1683 1749 1921 1989 2067 2431 2703 3729 4407 5247 5763 5989 6201 7293 7579 8109 9911 11187 11713 13221 16159 17289 17967 21131 21879 22737 24973 29733 35139 48477 53901 63393 65879 68211 74919 77857 89199 101813 105417 128843 145431 190179 197637 224757 233571 274703 305439 386529 592911 700713 824109 856427 916317 1119943 1159587 1323569 2472327 2569281 3359829 3970707 7707843 10079487 11912121 14559259 43677777 131033331