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2011200110100 = 22325221821102409
BaseRepresentation
bin11101010001000100110…
…111100011111000010100
321010021020222211101122200
4131101010313203320110
5230422414212010400
64135533234124500
7265206261604206
oct35210467437024
97107228741580
102011200110100
11705a44037325
1228594aa20730
13117869a8415c
146d4b2170776
15374b13e8b00
hex1d444de3e14

2011200110100 has 108 divisors (see below), whose sum is σ = 6304345467420. Its totient is φ = 536290214400.

The previous prime is 2011200110089. The next prime is 2011200110123. The reversal of 2011200110100 is 10110021102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 163161060624 + 1848039049476 = 403932^2 + 1359426^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19587696 + ... + 19690104.

Almost surely, 22011200110100 is an apocalyptic number.

2011200110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011200110100 is an abundant number, since it is smaller than the sum of its proper divisors (4293145357320).

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

2011200110100 is a wasteful number, since it uses less digits than its factorization.

2011200110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124250 (or 124240 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011200110100 its reverse (10110021102), we get a palindrome (2021310131202).

The spelling of 2011200110100 in words is "two trillion, eleven billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 21821 43642 65463 87284 102409 109105 130926 196389 204818 218210 261852 307227 327315 392778 409636 436420 512045 545525 614454 654630 785556 921681 981945 1024090 1091050 1228908 1309260 1536135 1636575 1843362 1963890 2048180 2182100 2560225 3072270 3273150 3686724 3927780 4608405 4909725 5120450 6144540 6546300 7680675 9216810 9819450 10240900 15361350 18433620 19638900 23042025 30722700 46084050 92168100 2234666789 4469333578 6704000367 8938667156 11173333945 13408000734 20112001101 22346667890 26816001468 33520001835 40224002202 44693335780 55866669725 67040003670 80448004404 100560005505 111733339450 134080007340 167600009175 201120011010 223466678900 335200018350 402240022020 502800027525 670400036700 1005600055050 2011200110100