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1022130020340 = 22355112131931227
BaseRepresentation
bin11101101111110111011…
…00100101111111110100
310121201021222221221100000
432313323230211333310
5113221310241122330
62101320545351300
7133563222551532
oct16677354457764
93551258857300
101022130020340
11364534827800
12146119338530
1375504042630
1437685591152
151b8c44c9560
hexedfbb25ff4

1022130020340 has 1728 divisors, whose sum is σ = 4153796075520. Its totient is φ = 208776268800.

The previous prime is 1022130020333. The next prime is 1022130020357. The reversal of 1022130020340 is 430200312201.

1022130020340 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 300 + 20 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4502775307 + ... + 4502775533.

Almost surely, 21022130020340 is an apocalyptic number.

1022130020340 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 1022130020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076898037760).

1022130020340 is an abundant number, since it is smaller than the sum of its proper divisors (3131666055180).

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

1022130020340 is a wasteful number, since it uses less digits than its factorization.

1022130020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

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

Adding to 1022130020340 its reverse (430200312201), we get a palindrome (1452330332541).

The spelling of 1022130020340 in words is "one trillion, twenty-two billion, one hundred thirty million, twenty thousand, three hundred forty".