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1022302213020 = 22325112139337681
BaseRepresentation
bin11101110000001011111…
…01011101001110011100
310121201201222222020021200
432320011331131032130
5113222133331304040
62101350020155500
7133600413302154
oct16700575351634
93551658866250
101022302213020
11364612a47700
12146166b38b90
13755309119aa
14376a03b5764
151b8d468e630
hexee05f5d39c

1022302213020 has 216 divisors, whose sum is σ = 3433050806640. Its totient is φ = 246047155200.

The previous prime is 1022302213019. The next prime is 1022302213063. The reversal of 1022302213020 is 203122032201.

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 = 1022302212984 and 1022302213002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2858580 + ... + 3196260.

Almost surely, 21022302213020 is an apocalyptic number.

1022302213020 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 1022302213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716525403320).

1022302213020 is an abundant number, since it is smaller than the sum of its proper divisors (2410748593620).

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

1022302213020 is a wasteful number, since it uses less digits than its factorization.

1022302213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337857 (or 337841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022302213020 its reverse (203122032201), we get a palindrome (1225424245221).

The spelling of 1022302213020 in words is "one trillion, twenty-two billion, three hundred two million, two hundred thirteen thousand, twenty".