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200012010000 = 24354113716381
BaseRepresentation
bin1011101001000110100…
…1010001001000010000
3201010021011212212010020
42322101221101020100
511234111033310000
6231514555303440
720310325014405
oct2722151211020
9633234785106
10200012010000
1177908624520
123291b74ab80
1315b2696589a
14997592a2ac
155309547ba0
hex2e91a51210

200012010000 has 400 divisors, whose sum is σ = 723443274048. Its totient is φ = 47174400000.

The previous prime is 200012009959. The next prime is 200012010017. The reversal of 200012010000 is 10210002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12201810 + ... + 12218190.

Almost surely, 2200012010000 is an apocalyptic number.

200012010000 is a gapful number since it is divisible by the number (20) 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 200012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361721637024).

200012010000 is an abundant number, since it is smaller than the sum of its proper divisors (523431264048).

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

200012010000 is a wasteful number, since it uses less digits than its factorization.

200012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16460 (or 16439 counting only the distinct ones).

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

Adding to 200012010000 its reverse (10210002), we get a palindrome (200022220002).

The spelling of 200012010000 in words is "two hundred billion, twelve million, ten thousand".