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1023422040312 = 2337216320172647
BaseRepresentation
bin11101110010010001011…
…01010000100011111000
310121211122001010100112120
432321020231100203320
5113231432020242222
62102053102041240
7133640231544600
oct16711055204370
93554561110476
101023422040312
11365038074501
12146419b79220
137567b9152a9
1437768dd5c00
151b94cb4015c
hexee48b508f8

1023422040312 has 192 divisors, whose sum is σ = 2997154264320. Its totient is φ = 290358577152.

The previous prime is 1023422040299. The next prime is 1023422040331. The reversal of 1023422040312 is 2130402243201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 386633373 + ... + 386636019.

It is an arithmetic number, because the mean of its divisors is an integer number (15610178460).

Almost surely, 21023422040312 is an apocalyptic number.

1023422040312 is a gapful number since it is divisible by the number (12) 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 1023422040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498577132160).

1023422040312 is an abundant number, since it is smaller than the sum of its proper divisors (1973732224008).

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

1023422040312 is a wasteful number, since it uses less digits than its factorization.

1023422040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1023422040312 its reverse (2130402243201), we get a palindrome (3153824283513).

The spelling of 1023422040312 in words is "one trillion, twenty-three billion, four hundred twenty-two million, forty thousand, three hundred twelve".