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100020210000 = 2435410332369
BaseRepresentation
bin101110100100110101…
…0110100100101010000
3100120011120200010011020
41131021222310211100
53114320133210000
6113540524115440
710140410520534
oct1351152644520
9316146603136
10100020210000
113946688a187
1217474695b80
13957ca67619
144baba01bc4
152905dccba0
hex1749ab4950

100020210000 has 200 divisors, whose sum is σ = 326023389120. Its totient is φ = 26412288000.

The previous prime is 100020209977. The next prime is 100020210013. The reversal of 100020210000 is 12020001.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3073816 + ... + 3106184.

Almost surely, 2100020210000 is an apocalyptic number.

100020210000 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 100020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163011694560).

100020210000 is an abundant number, since it is smaller than the sum of its proper divisors (226003179120).

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

100020210000 is a wasteful number, since it uses less digits than its factorization.

100020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32503 (or 32482 counting only the distinct ones).

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

Adding to 100020210000 its reverse (12020001), we get a palindrome (100032230001).

The spelling of 100020210000 in words is "one hundred billion, twenty million, two hundred ten thousand".