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2102201000200 = 235277012142043
BaseRepresentation
bin11110100101110100111…
…100011010000100001000
321102222011000001120212201
4132211310330122010020
5233420301424001300
64245423211045544
7304610333446540
oct36456474320410
97388130046781
102102201000200
117405a1729a14
1229b506a408b4
131233100657a2
1473a65d6c320
1539a3a58066a
hex1e974f1a108

2102201000200 has 96 divisors (see below), whose sum is σ = 5593819383360. Its totient is φ = 719726112000.

The previous prime is 2102201000143. The next prime is 2102201000257. The reversal of 2102201000200 is 20001022012.

It is an interprime number because it is at equal distance from previous prime (2102201000143) and next prime (2102201000257).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 89622 + ... + 2052421.

It is an arithmetic number, because the mean of its divisors is an integer number (58268951910).

Almost surely, 22102201000200 is an apocalyptic number.

2102201000200 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 2102201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796909691680).

2102201000200 is an abundant number, since it is smaller than the sum of its proper divisors (3491618383160).

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

2102201000200 is a wasteful number, since it uses less digits than its factorization.

2102201000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142767 (or 2142758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2102201000200 its reverse (20001022012), we get a palindrome (2122202022212).

The spelling of 2102201000200 in words is "two trillion, one hundred two billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 701 1400 1402 2804 3505 4907 5608 7010 9814 14020 17525 19628 24535 28040 35050 39256 49070 70100 98140 122675 140200 196280 245350 490700 981400 2142043 4284086 8568172 10710215 14994301 17136344 21420430 29988602 42840860 53551075 59977204 74971505 85681720 107102150 119954408 149943010 214204300 299886020 374857525 428408600 599772040 749715050 1499430100 1501572143 2998860200 3003144286 6006288572 7507860715 10511005001 12012577144 15015721430 21022010002 30031442860 37539303575 42044020004 52555025005 60062885720 75078607150 84088040008 105110050010 150157214300 210220100020 262775125025 300314428600 420440200040 525550250050 1051100500100 2102201000200