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102021420000 = 2535417293449
BaseRepresentation
bin101111100000011110…
…0110101001111100000
3100202100001022010012010
41133000330311033200
53132414440420000
6114511253032520
710241120522163
oct1370074651740
9322301263163
10102021420000
113a2a3482945
1217932925740
13980b546656
144d1b6d3ada
1529c192dd50
hex17c0f353e0

102021420000 has 480 divisors, whose sum is σ = 366660756000. Its totient is φ = 24715264000.

The previous prime is 102021419959. The next prime is 102021420013. The reversal of 102021420000 is 24120201.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29578276 + ... + 29581724.

It is an arithmetic number, because the mean of its divisors is an integer number (763876575).

Almost surely, 2102021420000 is an apocalyptic number.

102021420000 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 102021420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183330378000).

102021420000 is an abundant number, since it is smaller than the sum of its proper divisors (264639336000).

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

102021420000 is a wasteful number, since it uses less digits than its factorization.

102021420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102021420000 its reverse (24120201), we get a palindrome (102045540201).

The spelling of 102021420000 in words is "one hundred two billion, twenty-one million, four hundred twenty thousand".