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201022000000 = 2756100511
BaseRepresentation
bin1011101100110111011…
…0000100101110000000
3201012212120100122221021
42323031312010232000
511243143113000000
6232203115035224
720344340543563
oct2731566045600
9635776318837
10201022000000
11782867509a8
1232b61a3bb14
1315c57c8cbc3
149a2db184da
15536804e11a
hex2ecdd84b80

201022000000 has 112 divisors (see below), whose sum is σ = 500590467360. Its totient is φ = 80408000000.

The previous prime is 201021999979. The next prime is 201022000001. The reversal of 201022000000 is 220102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1949745 + ... + 2050255.

Almost surely, 2201022000000 is an apocalyptic number.

201022000000 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 201022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250295233680).

201022000000 is an abundant number, since it is smaller than the sum of its proper divisors (299568467360).

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

201022000000 is an frugal number, since it uses more digits than its factorization.

201022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100555 (or 100518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 201022000000 its reverse (220102), we get a palindrome (201022220102).

The spelling of 201022000000 in words is "two hundred one billion, twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 100511 125000 200000 201022 250000 400000 402044 500000 502555 804088 1000000 1005110 1608176 2000000 2010220 2512775 3216352 4020440 5025550 6432704 8040880 10051100 12563875 12865408 16081760 20102200 25127750 32163520 40204400 50255500 62819375 64327040 80408800 100511000 125638750 160817600 201022000 251277500 314096875 321635200 402044000 502555000 628193750 804088000 1005110000 1256387500 1570484375 1608176000 2010220000 2512775000 3140968750 4020440000 5025550000 6281937500 8040880000 10051100000 12563875000 20102200000 25127750000 40204400000 50255500000 100511000000 201022000000