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201011000000 = 2656201011
BaseRepresentation
bin1011101100110100110…
…0000111001011000000
3201012211210122210202212
42323031030013023000
511243132304000000
6232202043201252
720344145210606
oct2731514071300
9635753583685
10201011000000
1178280518498
1232b5a216228
1315c5590b125
149a2c493876
1553670c9c35
hex2ecd3072c0

201011000000 has 98 divisors (see below), whose sum is σ = 498597602244. Its totient is φ = 80404000000.

The previous prime is 201010999967. The next prime is 201011000059. The reversal of 201011000000 is 110102.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 899495 + ... + 1100505.

Almost surely, 2201011000000 is an apocalyptic number.

201011000000 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 201011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298801122).

201011000000 is an abundant number, since it is smaller than the sum of its proper divisors (297586602244).

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

201011000000 is an frugal number, since it uses more digits than its factorization.

201011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201053 (or 201018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 201011000000 its reverse (110102), we get a palindrome (201011110102).

The spelling of 201011000000 in words is "two hundred one billion, eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 201011 250000 402022 500000 804044 1000000 1005055 1608088 2010110 3216176 4020220 5025275 6432352 8040440 10050550 12864704 16080880 20101100 25126375 32161760 40202200 50252750 64323520 80404400 100505500 125631875 160808800 201011000 251263750 321617600 402022000 502527500 628159375 804044000 1005055000 1256318750 1608088000 2010110000 2512637500 3140796875 4020220000 5025275000 6281593750 8040440000 10050550000 12563187500 20101100000 25126375000 40202200000 50252750000 100505500000 201011000000