Search a number
-
+
1302300120030 = 2357213238313687
BaseRepresentation
bin10010111100110111001…
…000101101001111011110
311121111110112102122201220
4102330313020231033132
5132314102312320110
62434133551114210
7163042132242600
oct22746710551736
94544415378656
101302300120030
11462336515438
12190489812966
1395a637b2100
1447062c49170
1523d20d1c370
hex12f3722d3de

1302300120030 has 288 divisors, whose sum is σ = 3947568390144. Its totient is φ = 274033573632.

The previous prime is 1302300120019. The next prime is 1302300120047. The reversal of 1302300120030 is 300210032031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1302300119991 and 1302300120009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95141847 + ... + 95155533.

It is an arithmetic number, because the mean of its divisors is an integer number (13706834688).

Almost surely, 21302300120030 is an apocalyptic number.

1302300120030 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 1302300120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973784195072).

1302300120030 is an abundant number, since it is smaller than the sum of its proper divisors (2645268270114).

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

1302300120030 is a wasteful number, since it uses less digits than its factorization.

1302300120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14120 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1302300120030 its reverse (300210032031), we get a palindrome (1602510152061).

The spelling of 1302300120030 in words is "one trillion, three hundred two billion, three hundred million, one hundred twenty thousand, thirty".