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1020210000 = 24354311097
BaseRepresentation
bin111100110011110…
…010101101010000
32122002201001000120
4330303302231100
54042133210000
6245122350240
734165433115
oct7463625520
92562631016
101020210000
11483977967
122457bb380
13133495074
14996cc90c
155e8746a0
hex3ccf2b50

1020210000 has 200 divisors, whose sum is σ = 3402710784. Its totient is φ = 263040000.

The previous prime is 1020209987. The next prime is 1020210019. The reversal of 1020210000 is 120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 929452 + ... + 930548.

Almost surely, 21020210000 is an apocalyptic number.

1020210000 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 1020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701355392).

1020210000 is an abundant number, since it is smaller than the sum of its proper divisors (2382500784).

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

1020210000 is a wasteful number, since it uses less digits than its factorization.

1020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020210000 is about 31940.7263536695. The cubic root of 1020210000 is about 1006.6917867704.

Adding to 1020210000 its reverse (120201), we get a palindrome (1020330201).

It can be divided in two parts, 10202 and 10000, that added together give a palindrome (20202).

The spelling of 1020210000 in words is "one billion, twenty million, two hundred ten thousand".