Search a number
-
+
30203020311120 = 243251523268910243
BaseRepresentation
bin1101101111000001100000…
…10010111111101001010000
310221221101021102020010221100
412313200300102333221100
512424321241144423440
6144123024225024400
76235044666512046
oct667406022775120
9127841242203840
1030203020311120
119695035635748
12347966a485100
1313b1195404867
14765b96640396
153759b34a5230
hex1b78304bfa50

30203020311120 has 240 divisors, whose sum is σ = 101546068403520. Its totient is φ = 8045071663104.

The previous prime is 30203020311097. The next prime is 30203020311131. The reversal of 30203020311120 is 2111302030203.

30203020311120 is a `hidden beast` number, since 30 + 2 + 0 + 302 + 0 + 311 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 30203020311093 and 30203020311102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948644719 + ... + 2948654961.

It is an arithmetic number, because the mean of its divisors is an integer number (423108618348).

Almost surely, 230203020311120 is an apocalyptic number.

30203020311120 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 30203020311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50773034201760).

30203020311120 is an abundant number, since it is smaller than the sum of its proper divisors (71343048092400).

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

30203020311120 is a wasteful number, since it uses less digits than its factorization.

30203020311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 14465 counting only the distinct ones).

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

Adding to 30203020311120 its reverse (2111302030203), we get a palindrome (32314322341323).

The spelling of 30203020311120 in words is "thirty trillion, two hundred three billion, twenty million, three hundred eleven thousand, one hundred twenty".