Search a number
-
+
30132303201000 = 233253711133790397
BaseRepresentation
bin1101101100111101110010…
…01110101000001011101000
310221200121202000111201220200
412312132321032220023220
512422141424104413000
6144030331115552200
76226662364136250
oct666367116501350
9127617660451820
1030132303201000
119668046678190
123467a1345b660
1313a7605539bc0
147625a86b8960
15373c24e42500
hex1b67b93a82e8

30132303201000 has 1536 divisors, whose sum is σ = 140443258475520. Its totient is φ = 5623354368000.

The previous prime is 30132303200959. The next prime is 30132303201001. The reversal of 30132303201000 is 10230323103.

30132303201000 is a `hidden beast` number, since 3 + 0 + 13 + 230 + 320 + 100 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30132303201001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333287802 + ... + 333378198.

It is an arithmetic number, because the mean of its divisors is an integer number (91434413070).

Almost surely, 230132303201000 is an apocalyptic number.

30132303201000 is a gapful number since it is divisible by the number (30) 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 30132303201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70221629237760).

30132303201000 is an abundant number, since it is smaller than the sum of its proper divisors (110310955274520).

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

30132303201000 is a wasteful number, since it uses less digits than its factorization.

30132303201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90492 (or 90475 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30132303201000 its reverse (10230323103), we get a palindrome (30142533524103).

It can be divided in two parts, 30132303 and 201000, that added together give a palindrome (30333303).

The spelling of 30132303201000 in words is "thirty trillion, one hundred thirty-two billion, three hundred three million, two hundred one thousand".