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1302300001420 = 22511535910118743
BaseRepresentation
bin10010111100110111001…
…000010000010010001100
311121111110112012122000221
4102330313020100102030
5132314102300021140
62434133544401124
7163042131240025
oct22746710202214
94544415178027
101302300001420
11462336444310
121904897761a4
1395a63770122
1447062c17c4c
1523d20ce714a
hex12f3721048c

1302300001420 has 192 divisors, whose sum is σ = 3122036628480. Its totient is φ = 452206976000.

The previous prime is 1302300001417. The next prime is 1302300001423. The reversal of 1302300001420 is 241000032031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1302300001417) and next prime (1302300001423).

It is a junction number, because it is equal to n+sod(n) for n = 1302300001394 and 1302300001403.

It is not an unprimeable number, because it can be changed into a prime (1302300001423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69472569 + ... + 69491311.

It is an arithmetic number, because the mean of its divisors is an integer number (16260607440).

Almost surely, 21302300001420 is an apocalyptic number.

1302300001420 is a gapful number since it is divisible by the number (10) 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 1302300001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561018314240).

1302300001420 is an abundant number, since it is smaller than the sum of its proper divisors (1819736627060).

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

1302300001420 is a wasteful number, since it uses less digits than its factorization.

1302300001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18976 (or 18974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1302300001420 its reverse (241000032031), we get a palindrome (1543300033451).

The spelling of 1302300001420 in words is "one trillion, three hundred two billion, three hundred million, one thousand, four hundred twenty".