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1000221122200 = 235217383768101
BaseRepresentation
bin11101000111000011101…
…00110001111010011000
310112121202010111121010011
432203201310301322120
5112341423101402300
62043254545531304
7132156261155116
oct16434164617230
93477663447104
101000221122200
11356211825313
12141a24043b34
1373422039c91
14365a7966ab6
151b040d93eba
hexe8e1d31e98

1000221122200 has 96 divisors (see below), whose sum is σ = 2468741276160. Its totient is φ = 375570176000.

The previous prime is 1000221122191. The next prime is 1000221122227. The reversal of 1000221122200 is 22211220001.

It is a happy number.

1000221122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918150 + ... + 1686250.

It is an arithmetic number, because the mean of its divisors is an integer number (25716054960).

Almost surely, 21000221122200 is an apocalyptic number.

1000221122200 is a gapful number since it is divisible by the number (10) 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 1000221122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234370638080).

1000221122200 is an abundant number, since it is smaller than the sum of its proper divisors (1468520153960).

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

1000221122200 is a wasteful number, since it uses less digits than its factorization.

1000221122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768517 (or 768508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1000221122200 its reverse (22211220001), we get a palindrome (1022432342201).

The spelling of 1000221122200 in words is "one trillion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 383 425 680 766 850 1532 1700 1915 3064 3400 3830 6511 7660 9575 13022 15320 19150 26044 32555 38300 52088 65110 76600 130220 162775 260440 325550 651100 768101 1302200 1536202 3072404 3840505 6144808 7681010 13057717 15362020 19202525 26115434 30724040 38405050 52230868 65288585 76810100 104461736 130577170 153620200 261154340 294182683 326442925 522308680 588365366 652885850 1176730732 1305771700 1470913415 2353461464 2611543400 2941826830 5001105611 5883653660 7354567075 10002211222 11767307320 14709134150 20004422444 25005528055 29418268300 40008844888 50011056110 58836536600 100022112220 125027640275 200044224440 250055280550 500110561100 1000221122200