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10222203301000 = 235329352489769
BaseRepresentation
bin1001010011000000101011…
…0010111110110010001000
31100012020021220221111100021
42110300022302332302020
52314440033021113000
633424003152550224
72103346504263265
oct224601262766210
940166256844307
1010222203301000
1132912372a8959
12119116b252374
13591c4646b312
14274a85d9226c
1512ad827a311a
hex94c0acbec88

10222203301000 has 64 divisors (see below), whose sum is σ = 24744781854000. Its totient is φ = 3947885401600.

The previous prime is 10222203300979. The next prime is 10222203301019. The reversal of 10222203301000 is 10330222201.

It can be written as a sum of positive squares in 8 ways, for example, as 1686117832036 + 8536085468964 = 1298506^2 + 2921658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176215885 + ... + 176273884.

Almost surely, 210222203301000 is an apocalyptic number.

10222203301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222203301000 is an abundant number, since it is smaller than the sum of its proper divisors (14522578553000).

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

10222203301000 is a wasteful number, since it uses less digits than its factorization.

10222203301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352489819 (or 352489805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10222203301000 its reverse (10330222201), we get a palindrome (10232533523201).

The spelling of 10222203301000 in words is "ten trillion, two hundred twenty-two billion, two hundred three million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 352489769 704979538 1409959076 1762448845 2819918152 3524897690 7049795380 8812244225 10222203301 14099590760 17624488450 20444406602 35248976900 40888813204 44061221125 51111016505 70497953800 81777626408 88122442250 102222033010 176244884500 204444066020 255555082525 352489769000 408888132040 511110165050 1022220330100 1277775412625 2044440660200 2555550825250 5111101650500 10222203301000