Search a number
-
+
133235130 = 23574713499
BaseRepresentation
bin1111111000100…
…00000110111010
3100021201001020110
413330100012322
5233102011010
621115405150
73205323420
oct774200672
9307631213
10133235130
1169231586
12387537b6
13217ac172
14139a3110
15ba6c120
hex7f101ba

133235130 has 64 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 29803584.

The previous prime is 133235129. The next prime is 133235131. The reversal of 133235130 is 31532331.

It is an interprime number because it is at equal distance from previous prime (133235129) and next prime (133235131).

It is a super-2 number, since 2×1332351302 = 35503199732233800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133235097 and 133235106.

It is not an unprimeable number, because it can be changed into a prime (133235131) 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, 3121 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2133235130 is an apocalyptic number.

133235130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133235130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

133235130 is an abundant number, since it is smaller than the sum of its proper divisors (240012870).

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

133235130 is a wasteful number, since it uses less digits than its factorization.

133235130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 133235130 is about 11542.7522714472. The cubic root of 133235130 is about 510.7475005562.

Adding to 133235130 its reverse (31532331), we get a palindrome (164767461).

The spelling of 133235130 in words is "one hundred thirty-three million, two hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 13499 26998 40497 67495 80994 94493 134990 188986 202485 283479 404970 472465 566958 634453 944930 1268906 1417395 1903359 2834790 3172265 3806718 4441171 6344530 8882342 9516795 13323513 19033590 22205855 26647026 44411710 66617565 133235130