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10012010001000 = 233537805959159
BaseRepresentation
bin1001000110110001101001…
…0011001011001001101000
31022110010202012011111222020
42101230122103023021220
52303014044030013000
633143242013024440
72052225640563420
oct221543223131150
938403665144866
1010012010001000
1132100846a6587
121158489a85120
135781893b21a7
142688261d1480
1512567e4dbba0
hex91b1a4cb268

10012010001000 has 256 divisors, whose sum is σ = 35705000448000. Its totient is φ = 2288136787200.

The previous prime is 10012010000987. The next prime is 10012010001013. The reversal of 10012010001000 is 10001021001.

It is an interprime number because it is at equal distance from previous prime (10012010000987) and next prime (10012010001013).

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 self number, because there is not a number n which added to its sum of digits gives 10012010001000.

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 63 ways as a sum of consecutive naturals, for example, 169209421 + ... + 169268579.

It is an arithmetic number, because the mean of its divisors is an integer number (139472658000).

Almost surely, 210012010001000 is an apocalyptic number.

10012010001000 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 10012010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17852500224000).

10012010001000 is an abundant number, since it is smaller than the sum of its proper divisors (25692990447000).

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

10012010001000 is a wasteful number, since it uses less digits than its factorization.

10012010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67249 (or 67235 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10012010001000 its reverse (10001021001), we get a palindrome (10022011022001).

The spelling of 10012010001000 in words is "ten trillion, twelve billion, ten million, one thousand".