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1230273316800 = 2633521119136261
BaseRepresentation
bin10001111001110010000…
…000010000011111000000
311100121112212021221112000
4101321302000100133000
5130124044432114200
62341102454504000
7154612214435613
oct21716200203700
94317485257460
101230273316800
1143483523a080
1217a528065000
138c025497508
144378cd9c17a
1522007802300
hex11e720107c0

1230273316800 has 672 divisors, whose sum is σ = 5150049542400. Its totient is φ = 282548736000.

The previous prime is 1230273316733. The next prime is 1230273316841. The reversal of 1230273316800 is 86133720321.

1230273316800 is a `hidden beast` number, since 12 + 302 + 7 + 331 + 6 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×12302733168003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8960670 + ... + 9096930.

It is an arithmetic number, because the mean of its divisors is an integer number (7663764200).

Almost surely, 21230273316800 is an apocalyptic number.

1230273316800 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 1230273316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575024771200).

1230273316800 is an abundant number, since it is smaller than the sum of its proper divisors (3919776225600).

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

1230273316800 is a wasteful number, since it uses less digits than its factorization.

1230273316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136322 (or 136301 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1230273316800 in words is "one trillion, two hundred thirty billion, two hundred seventy-three million, three hundred sixteen thousand, eight hundred".