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30041200340130 = 23579710110921229
BaseRepresentation
bin1101101010010100000110…
…00100110010110010100010
310221100220120220101220002110
412311022003010302302202
512414143334241341010
6143520423101300150
76220255643453010
oct665120304626242
9127326526356073
1030041200340130
119632446468431
123452229264656
13139bb470a4a35
1475c0051358b0
15371691d67120
hex1b5283132ca2

30041200340130 has 384 divisors, whose sum is σ = 84919855265280. Its totient is φ = 6661332172800.

The previous prime is 30041200340117. The next prime is 30041200340143. The reversal of 30041200340130 is 3104300214003.

It is an interprime number because it is at equal distance from previous prime (30041200340117) and next prime (30041200340143).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30041200340097 and 30041200340106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24443612356 + ... + 24443613584.

It is an arithmetic number, because the mean of its divisors is an integer number (221145456420).

Almost surely, 230041200340130 is an apocalyptic number.

30041200340130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30041200340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42459927632640).

30041200340130 is an abundant number, since it is smaller than the sum of its proper divisors (54878654925150).

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

30041200340130 is a wasteful number, since it uses less digits than its factorization.

30041200340130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30041200340130 its reverse (3104300214003), we get a palindrome (33145500554133).

It can be divided in two parts, 30041 and 200340130, that added together give a triangular number (200370171 = T20018).

The spelling of 30041200340130 in words is "thirty trillion, forty-one billion, two hundred million, three hundred forty thousand, one hundred thirty".