Search a number
-
+
133020030 = 2351113101307
BaseRepresentation
bin1111110110110…
…11100101111110
3100021022010011210
413323123211332
5233023120110
621111025250
73203436333
oct773334576
9307263153
10133020030
11690a4a10
123866b226
13217352a0
141394898a
15ba28520
hex7edb97e

133020030 has 128 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 29376000.

The previous prime is 133020001. The next prime is 133020037. The reversal of 133020030 is 30020331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133019988 and 133020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433137 + ... + 433443.

It is an arithmetic number, because the mean of its divisors is an integer number (2968812).

Almost surely, 2133020030 is an apocalyptic number.

133020030 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 133020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

133020030 is an abundant number, since it is smaller than the sum of its proper divisors (246987906).

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

133020030 is a wasteful number, since it uses less digits than its factorization.

133020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133020030 is about 11533.4309726117. The cubic root of 133020030 is about 510.4724956027.

Adding to 133020030 its reverse (30020331), we get a palindrome (163040361).

The spelling of 133020030 in words is "one hundred thirty-three million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 101 110 130 143 165 195 202 286 303 307 330 390 429 505 606 614 715 858 921 1010 1111 1313 1430 1515 1535 1842 2145 2222 2626 3030 3070 3333 3377 3939 3991 4290 4605 5555 6565 6666 6754 7878 7982 9210 10131 11110 11973 13130 14443 16665 16885 19695 19955 20262 23946 28886 31007 33330 33770 39390 39910 43329 43901 50655 59865 62014 72215 86658 87802 93021 101310 119730 131703 144430 155035 186042 216645 219505 263406 310070 341077 403091 433290 439010 465105 658515 682154 806182 930210 1023231 1209273 1317030 1705385 2015455 2046462 2418546 3410770 4030910 4434001 5116155 6046365 8868002 10232310 12092730 13302003 22170005 26604006 44340010 66510015 133020030