Search a number
-
+
301030202332002 = 23111317431031465529
BaseRepresentation
bin100010001110010010000111…
…0010001101101001101100010
31110110212012120101101110001010
41010130210032101231031202
5303424034323244111002
62544123211003321350
7120256500020014143
oct10434441621551542
91413765511343033
10301030202332002
1187a10212414480
1229919805820256
13cbc8045958310
145449d22115aca
1524c074686946c
hex111c90e46d362

301030202332002 has 256 divisors, whose sum is σ = 767084275077120. Its totient is φ = 77332766515200.

The previous prime is 301030202331983. The next prime is 301030202332009. The reversal of 301030202332002 is 200233202030103.

It is a self number, because there is not a number n which added to its sum of digits gives 301030202332002.

It is not an unprimeable number, because it can be changed into a prime (301030202332009) 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, 646408374 + ... + 646873902.

It is an arithmetic number, because the mean of its divisors is an integer number (2996422949520).

Almost surely, 2301030202332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301030202332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383542137538560).

301030202332002 is an abundant number, since it is smaller than the sum of its proper divisors (466054072745118).

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

301030202332002 is a wasteful number, since it uses less digits than its factorization.

301030202332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466649.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 301030202332002 its reverse (200233202030103), we get a palindrome (501263404362105).

The spelling of 301030202332002 in words is "three hundred one trillion, thirty billion, two hundred two million, three hundred thirty-two thousand, two".