Search a number
-
+
203100130213002 = 23311827413445479
BaseRepresentation
bin101110001011011111101111…
…000111010111110010001010
3222122010011221021120011221000
4232023133233013113302022
5203110043031313304002
61555542524534555430
760531333363326061
oct5613375707276212
9878104837504830
10203100130213002
1159794310772080
121a9421ba808b76
13894334c58cc19
143822154d951d8
15187317918e61c
hexb8b7ef1d7c8a

203100130213002 has 64 divisors (see below), whose sum is σ = 492959314713600. Its totient is φ = 61471073669040.

The previous prime is 203100130212979. The next prime is 203100130213003. The reversal of 203100130213002 is 200312031001302.

203100130213002 is a `hidden beast` number, since 2 + 0 + 310 + 0 + 1 + 30 + 21 + 300 + 2 = 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 (203100130213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206231502 + ... + 207213977.

It is an arithmetic number, because the mean of its divisors is an integer number (7702489292400).

Almost surely, 2203100130213002 is an apocalyptic number.

203100130213002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

203100130213002 is an abundant number, since it is smaller than the sum of its proper divisors (289859184500598).

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

203100130213002 is a wasteful number, since it uses less digits than its factorization.

203100130213002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413446328 (or 413446322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203100130213002 its reverse (200312031001302), we get a palindrome (403412161214304).

The spelling of 203100130213002 in words is "two hundred three trillion, one hundred billion, one hundred thirty million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 827 1654 2481 4962 7443 9097 14886 18194 22329 27291 44658 54582 81873 163746 245619 491238 413445479 826890958 1240336437 2480672874 3721009311 4547900269 7442018622 9095800538 11163027933 13643700807 22326055866 27287401614 40931102421 81862204842 122793307263 245586614526 341919411133 683838822266 1025758233399 2051516466798 3077274700197 3761113522463 6154549400394 7522227044926 9231824100591 11283340567389 18463648201182 22566681134778 33850021702167 67700043404334 101550065106501 203100130213002