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22123100000 = 25551971123
BaseRepresentation
bin10100100110101000…
…111011011101100000
32010002210111220221002
4110212220323131200
5330302003200000
614055130451132
71412142150551
oct244650733540
963083456832
1022123100000
119422a05521
124354b93aa8
1321174c2c21
1410dc266328
158973478d5
hex526a3b760

22123100000 has 144 divisors (see below), whose sum is σ = 54765151056. Its totient is φ = 8796480000.

The previous prime is 22123099979. The next prime is 22123100009. The reversal of 22123100000 is 132122.

It is a happy number.

It is a super-2 number, since 2×221231000002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123100009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19699439 + ... + 19700561.

It is an arithmetic number, because the mean of its divisors is an integer number (380313549).

Almost surely, 222123100000 is an apocalyptic number.

22123100000 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 22123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382575528).

22123100000 is an abundant number, since it is smaller than the sum of its proper divisors (32642051056).

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

22123100000 is an equidigital number, since it uses as much as digits as its factorization.

22123100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22123100000 its reverse (132122), we get a palindrome (22123232122).

The spelling of 22123100000 in words is "twenty-two billion, one hundred twenty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1123 1250 1576 1970 2000 2246 2500 3125 3152 3940 4000 4492 4925 5000 5615 6250 6304 7880 8984 9850 10000 11230 12500 15760 17968 19700 20000 22460 24625 25000 28075 31520 35936 39400 44920 49250 50000 56150 78800 89840 98500 100000 112300 123125 140375 157600 179680 197000 221231 224600 246250 280750 394000 442462 449200 492500 561500 615625 701875 788000 884924 898400 985000 1106155 1123000 1231250 1403750 1769848 1970000 2212310 2246000 2462500 2807500 3509375 3539696 3940000 4424620 4492000 4925000 5530775 5615000 7018750 7079392 8849240 9850000 11061550 11230000 14037500 17698480 19700000 22123100 22460000 27653875 28075000 35396960 44246200 55307750 56150000 88492400 110615500 112300000 138269375 176984800 221231000 276538750 442462000 553077500 691346875 884924000 1106155000 1382693750 2212310000 2765387500 4424620000 5530775000 11061550000 22123100000