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2011212000100 = 2252101199129901
BaseRepresentation
bin11101010001000101100…
…100111010101101100100
321010021021211012110200001
4131101011210322231210
5230422430233000400
64135534341031044
7265206464635012
oct35210544725544
97107254173601
102011212000100
11705a4a818476
122859529b5484
1311786c388064
146d4b39878b2
15374b2496a6a
hex1d44593ab64

2011212000100 has 36 divisors (see below), whose sum is σ = 4407541250868. Its totient is φ = 796519600000.

The previous prime is 2011212000089. The next prime is 2011212000121. The reversal of 2011212000100 is 10002121102.

It can be written as a sum of positive squares in 6 ways, for example, as 465680678464 + 1545531321636 = 682408^2 + 1243194^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99554851 + ... + 99575050.

It is an arithmetic number, because the mean of its divisors is an integer number (122431701413).

Almost surely, 22011212000100 is an apocalyptic number.

2011212000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011212000100 is an abundant number, since it is smaller than the sum of its proper divisors (2396329250768).

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

2011212000100 is a wasteful number, since it uses less digits than its factorization.

2011212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199130016 (or 199130009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011212000100 its reverse (10002121102), we get a palindrome (2021214121202).

The spelling of 2011212000100 in words is "two trillion, eleven billion, two hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 199129901 398259802 796519604 995649505 1991299010 3982598020 4978247525 9956495050 19912990100 20112120001 40224240002 80448480004 100560600005 201121200010 402242400020 502803000025 1005606000050 2011212000100