Search a number
-
+
102003332000130 = 23351173977481549
BaseRepresentation
bin10111001100010110000000…
…010111101010100110000010
3111101011102102120220112011000
4113030112000113222212002
5101332210310443001010
61000535403412032430
730325332441161361
oct2714260027524602
9441142376815130
10102003332000130
112a557408768a80
12b534b19602716
1344bbb46ab4b12
141b28db800b7d8
15bbd51a0717c0
hex5cc5805ea982

102003332000130 has 256 divisors, whose sum is σ = 301110364224000. Its totient is φ = 24364325560320.

The previous prime is 102003332000107. The next prime is 102003332000131. The reversal of 102003332000130 is 31000233300201.

102003332000130 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 333 + 200 + 0 + 130 = 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 (102003332000131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211582596 + ... + 212064144.

It is an arithmetic number, because the mean of its divisors is an integer number (1176212360250).

Almost surely, 2102003332000130 is an apocalyptic number.

102003332000130 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 102003332000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150555182112000).

102003332000130 is an abundant number, since it is smaller than the sum of its proper divisors (199107032223870).

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

102003332000130 is a wasteful number, since it uses less digits than its factorization.

102003332000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482626 (or 482620 counting only the distinct ones).

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

Adding to 102003332000130 its reverse (31000233300201), we get a palindrome (133003565300331).

The spelling of 102003332000130 in words is "one hundred two trillion, three billion, three hundred thirty-two million, one hundred thirty", and thus it is an aban number.