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1000222012320 = 253517375362507
BaseRepresentation
bin11101000111000011110…
…00001011001110100000
310112121202012011211010120
432203201320023032200
5112341423313343240
62043255021000240
7132156301553166
oct16434170131640
93477665154116
101000222012320
11356212283053
12141a243b3080
137342228c18b
14365a7b19236
151b040ebcad0
hexe8e1e0b3a0

1000222012320 has 384 divisors, whose sum is σ = 3490898777856. Its totient is φ = 239639003136.

The previous prime is 1000222012319. The next prime is 1000222012369. The reversal of 1000222012320 is 232102220001.

It is a happy number.

It is a Cunningham number, because it is equal to 10001112-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000222012320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15970507 + ... + 16033013.

It is an arithmetic number, because the mean of its divisors is an integer number (9090882234).

Almost surely, 21000222012320 is an apocalyptic number.

1000222012320 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 1000222012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745449388928).

1000222012320 is an abundant number, since it is smaller than the sum of its proper divisors (2490676765536).

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

1000222012320 is a wasteful number, since it uses less digits than its factorization.

1000222012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62632 (or 62624 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1000222012320 its reverse (232102220001), we get a palindrome (1232324232321).

The spelling of 1000222012320 in words is "one trillion, two hundred twenty-two million, twelve thousand, three hundred twenty".