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10010001001000 = 2353711213909091
BaseRepresentation
bin1001000110101010001010…
…0011011100101000101000
31022102221120011212202001211
42101222202203130220220
52303000440224013000
633142310405122504
72052125104425520
oct221524243345050
938387504782054
1010010001001000
11320a243672100
1211580090b9434
13577c291064b0
142686b5472680
151255b2e4c7ba
hex91aa28dca28

10010001001000 has 384 divisors, whose sum is σ = 31687892570880. Its totient is φ = 2879997120000.

The previous prime is 10010001000973. The next prime is 10010001001009. The reversal of 10010001001000 is 10010001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10010001001009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10556455 + ... + 11465545.

It is an arithmetic number, because the mean of its divisors is an integer number (82520553570).

Almost surely, 210010001001000 is an apocalyptic number.

10010001001000 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 10010001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843946285440).

10010001001000 is an abundant number, since it is smaller than the sum of its proper divisors (21677891569880).

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

10010001001000 is a wasteful number, since it uses less digits than its factorization.

10010001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909154 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010001001000 its reverse (10010001001), we get a palindrome (10020011002001).

Subtracting from 10010001001000 its reverse (10010001001), we obtain a palindrome (9999990999999).

10010001001000 divided by its reverse (10010001001) gives a cube (1000 = 103).

The spelling of 10010001001000 in words is "ten trillion, ten billion, one million, one thousand".