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1213020000 = 25325423293
BaseRepresentation
bin100100001001101…
…0011011101100000
310010112111210121200
41020103103131200
54441013120000
6320211121200
742026333313
oct11023233540
93115453550
101213020000
11572799975
1229a2a3200
1316440281a
14b715c97a
157175d500
hex484d3760

1213020000 has 360 divisors, whose sum is σ = 4513292784. Its totient is φ = 308352000.

The previous prime is 1213019993. The next prime is 1213020001. The reversal of 1213020000 is 203121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139854 + ... + 4140146.

Almost surely, 21213020000 is an apocalyptic number.

1213020000 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 1213020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256646392).

1213020000 is an abundant number, since it is smaller than the sum of its proper divisors (3300272784).

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

1213020000 is a wasteful number, since it uses less digits than its factorization.

1213020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1213020000 is about 34828.4366574212. The cubic root of 1213020000 is about 1066.4880343226.

Adding to 1213020000 its reverse (203121), we get a palindrome (1213223121).

The spelling of 1213020000 in words is "one billion, two hundred thirteen million, twenty thousand".