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1022002311330 = 232571113372571193
BaseRepresentation
bin11101101111101000001…
…01011011000010100010
310121200222002122122111200
432313310011123002202
5113221030042430310
62101300144222030
7133560112212210
oct16676405330242
93550862578450
101022002311330
11364479730070
121460a260a916
13754b3749880
1437672629cb0
151b8b819e9c0
hexedf415b0a2

1022002311330 has 768 divisors, whose sum is σ = 3681482628096. Its totient is φ = 189828956160.

The previous prime is 1022002311299. The next prime is 1022002311349. The reversal of 1022002311330 is 331132002201.

1022002311330 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 2 + 311 + 330 = 666.

1022002311330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 856665214 + ... + 856666406.

It is an arithmetic number, because the mean of its divisors is an integer number (4793597172).

Almost surely, 21022002311330 is an apocalyptic number.

1022002311330 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 1022002311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840741314048).

1022002311330 is an abundant number, since it is smaller than the sum of its proper divisors (2659480316766).

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

1022002311330 is a wasteful number, since it uses less digits than its factorization.

1022002311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022002311330 its reverse (331132002201), we get a palindrome (1353134313531).

The spelling of 1022002311330 in words is "one trillion, twenty-two billion, two million, three hundred eleven thousand, three hundred thirty".