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1022300130000 = 24354197272467
BaseRepresentation
bin11101110000001011101…
…01100000101011010000
310121201201212001101220210
432320011311200223100
5113222132313130000
62101345503404120
7133600356505212
oct16700565405320
93551655041823
101022300130000
113646118546a6
121461662b3640
1375530362836
143769ddd25b2
151b8d43cc350
hexee05d60ad0

1022300130000 has 400 divisors, whose sum is σ = 3480000043520. Its totient is φ = 257805504000.

The previous prime is 1022300129999. The next prime is 1022300130023. The reversal of 1022300130000 is 310032201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414388767 + ... + 414391233.

Almost surely, 21022300130000 is an apocalyptic number.

1022300130000 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 1022300130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740000021760).

1022300130000 is an abundant number, since it is smaller than the sum of its proper divisors (2457699913520).

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

1022300130000 is a wasteful number, since it uses less digits than its factorization.

1022300130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1022300130000 its reverse (310032201), we get a palindrome (1022610162201).

The spelling of 1022300130000 in words is "one trillion, twenty-two billion, three hundred million, one hundred thirty thousand".