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133102424 = 23721326119
BaseRepresentation
bin1111110111011…
…11101101011000
3100021110022012102
413323233231120
5233033234144
621112502532
73204231500
oct773575530
9307408172
10133102424
1169150904
12386aaa48
1321763940
141396aa00
15ba42b4e
hex7eefb58

133102424 has 48 divisors (see below), whose sum is σ = 312656400. Its totient is φ = 52653888.

The previous prime is 133102421. The next prime is 133102447. The reversal of 133102424 is 424201331.

It is a junction number, because it is equal to n+sod(n) for n = 133102396 and 133102405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7964 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (6513675).

Almost surely, 2133102424 is an apocalyptic number.

133102424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133102424 is an abundant number, since it is smaller than the sum of its proper divisors (179553976).

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

133102424 is a wasteful number, since it uses less digits than its factorization.

133102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26152 (or 26141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133102424 is about 11537.0023836350. The cubic root of 133102424 is about 510.5778711858.

Adding to 133102424 its reverse (424201331), we get a palindrome (557303755).

The spelling of 133102424 in words is "one hundred thirty-three million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 26119 52238 104476 182833 208952 339547 365666 679094 731332 1279831 1358188 1462664 2376829 2559662 2716376 4753658 5119324 9507316 10238648 16637803 19014632 33275606 66551212 133102424