Search a number
-
+
133002220230000 = 243254111229109313
BaseRepresentation
bin11110001111011011111110…
…000101110101010101110000
3122102220212222102000221012200
4132033123332011311111300
5114413102021334330000
61150512213152423200
740005044001462402
oct3617337605652560
9572825872027180
10133002220230000
1139418a19a60630
1212b0087a547b00
13592a09507a744
1424bb4adcbab72
151059a5dba3500
hex78f6fe175570

133002220230000 has 600 divisors, whose sum is σ = 507829848617520. Its totient is φ = 32216432640000.

The previous prime is 133002220229999. The next prime is 133002220230001. The reversal of 133002220230000 is 32022200331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133002220229999) and next prime (133002220230001).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1330022202300002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002220230001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1216655344 + ... + 1216764656.

Almost surely, 2133002220230000 is an apocalyptic number.

133002220230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002220230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253914924308760).

133002220230000 is an abundant number, since it is smaller than the sum of its proper divisors (374827628387520).

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

133002220230000 is a wasteful number, since it uses less digits than its factorization.

133002220230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110587 (or 110563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133002220230000 its reverse (32022200331), we get a palindrome (133034242430331).

The spelling of 133002220230000 in words is "one hundred thirty-three trillion, two billion, two hundred twenty million, two hundred thirty thousand".