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1022001103200 = 253527115530309
BaseRepresentation
bin11101101111101000000…
…00110100000101100000
310121200222000101021021010
432313310000310011200
5113221024240300300
62101300102300520
7133560066021030
oct16676400640540
93550860337233
101022001103200
11364478a85410
121460a2127740
13754b34159bc
14376723d38c0
151b8b8011a50
hexedf4034160

1022001103200 has 288 divisors, whose sum is σ = 4147467045120. Its totient is φ = 212363827200.

The previous prime is 1022001103171. The next prime is 1022001103229. The reversal of 1022001103200 is 23011002201.

It is an interprime number because it is at equal distance from previous prime (1022001103171) and next prime (1022001103229).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2580355 + ... + 2949954.

It is an arithmetic number, because the mean of its divisors is an integer number (14400927240).

Almost surely, 21022001103200 is an apocalyptic number.

1022001103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001103200 is an abundant number, since it is smaller than the sum of its proper divisors (3125465941920).

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

1022001103200 is a wasteful number, since it uses less digits than its factorization.

1022001103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530350 (or 5530337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1022001103200 its reverse (23011002201), we get a palindrome (1045012105401).

The spelling of 1022001103200 in words is "one trillion, twenty-two billion, one million, one hundred three thousand, two hundred".