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10011010001000 = 235367679147919
BaseRepresentation
bin1001000110101101111010…
…1100011110100001101000
31022110001011111111020212012
42101223132230132201220
52303010022030013000
633142554451335052
72052162105662501
oct221533654364150
938401144436765
1010011010001000
11320a7111827a8
12115824abb1488
1357805a175008
1426876d483ba8
1512562180a735
hex91adeb1e868

10011010001000 has 64 divisors (see below), whose sum is σ = 23426267904000. Its totient is φ = 4004317761600.

The previous prime is 10011010000903. The next prime is 10011010001059. The reversal of 10011010001000 is 10001011001.

10011010001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67605041 + ... + 67752959.

It is an arithmetic number, because the mean of its divisors is an integer number (366035436000).

Almost surely, 210011010001000 is an apocalyptic number.

10011010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011010001000 is an abundant number, since it is smaller than the sum of its proper divisors (13415257903000).

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

10011010001000 is a wasteful number, since it uses less digits than its factorization.

10011010001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215619 (or 215605 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011010001000 its reverse (10001011001), we get a palindrome (10021011012001).

The spelling of 10011010001000 in words is "ten trillion, eleven billion, ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 67679 135358 147919 270716 295838 338395 541432 591676 676790 739595 1183352 1353580 1479190 1691975 2707160 2958380 3383950 3697975 5916760 6767900 7395950 8459875 13535800 14791900 16919750 18489875 29583800 33839500 36979750 67679000 73959500 147919000 10011010001 20022020002 40044040004 50055050005 80088080008 100110100010 200220200020 250275250025 400440400040 500550500050 1001101000100 1251376250125 2002202000200 2502752500250 5005505000500 10011010001000