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2000102111000 = 235371486719219
BaseRepresentation
bin11101000110101111011…
…000000011011100011000
321002012121112222121220222
4131012233120003130120
5230232202120023000
64130500105335212
7264334252301540
oct35065730033430
97065545877828
102000102111000
11701269554344
12283772197508
131167bb766996
146cb3c270320
1537061e4ca85
hex1d1af603718

2000102111000 has 128 divisors (see below), whose sum is σ = 5349482611200. Its totient is φ = 685667491200.

The previous prime is 2000102110999. The next prime is 2000102111041. The reversal of 2000102111000 is 1112010002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104059391 + ... + 104078609.

It is an arithmetic number, because the mean of its divisors is an integer number (41792832900).

Almost surely, 22000102111000 is an apocalyptic number.

2000102111000 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 2000102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674741305600).

2000102111000 is an abundant number, since it is smaller than the sum of its proper divisors (3349380500200).

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

2000102111000 is a wasteful number, since it uses less digits than its factorization.

2000102111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34114 (or 34100 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2000102111000 its reverse (1112010002), we get a palindrome (2001214121002).

The spelling of 2000102111000 in words is "two trillion, one hundred two million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 14867 19219 29734 38438 59468 74335 76876 96095 104069 118936 134533 148670 153752 192190 208138 269066 297340 371675 384380 416276 480475 520345 538132 594680 672665 743350 768760 832552 960950 1040690 1076264 1345330 1486700 1858375 1921900 2081380 2402375 2601725 2690660 2973400 3363325 3716750 3843800 4162760 4804750 5203450 5381320 6726650 7433500 9609500 10406900 13008625 13453300 14867000 16816625 19219000 20813800 26017250 26906600 33633250 52034500 67266500 104069000 134533000 285728873 571457746 1142915492 1428644365 2000102111 2285830984 2857288730 4000204222 5714577460 7143221825 8000408444 10000510555 11429154920 14286443650 16000816888 20001021110 28572887300 35716109125 40002042220 50002552775 57145774600 71432218250 80004084440 100005105550 142864436500 200010211100 250012763875 285728873000 400020422200 500025527750 1000051055500 2000102111000