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122302030000 = 245422953407
BaseRepresentation
bin111000111100111000…
…1001110000010110000
3102200200102211211222211
41301321301032002300
54000433304430000
6132103524541504
711556521050063
oct1617161160260
9380612754884
10122302030000
1147960342357
121b852851894
13b6c10c04b7
145cc2d828da
1532ac1287ba
hex1c79c4e0b0

122302030000 has 100 divisors (see below), whose sum is σ = 297404050240. Its totient is φ = 48706272000.

The previous prime is 122302029923. The next prime is 122302030001. The reversal of 122302030000 is 30203221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (122302030001) 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 19 ways as a sum of consecutive naturals, for example, 2263297 + ... + 2316703.

Almost surely, 2122302030000 is an apocalyptic number.

122302030000 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 122302030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148702025120).

122302030000 is an abundant number, since it is smaller than the sum of its proper divisors (175102020240).

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

122302030000 is an equidigital number, since it uses as much as digits as its factorization.

122302030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53664 (or 53643 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 122302030000 its reverse (30203221), we get a palindrome (122332233221).

The spelling of 122302030000 in words is "one hundred twenty-two billion, three hundred two million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 625 916 1000 1145 1250 1832 2000 2290 2500 3664 4580 5000 5725 9160 10000 11450 18320 22900 28625 45800 53407 57250 91600 106814 114500 143125 213628 229000 267035 286250 427256 458000 534070 572500 854512 1068140 1145000 1335175 2136280 2290000 2670350 4272560 5340700 6675875 10681400 12230203 13351750 21362800 24460406 26703500 33379375 48920812 53407000 61151015 66758750 97841624 106814000 122302030 133517500 195683248 244604060 267035000 305755075 489208120 534070000 611510150 978416240 1223020300 1528775375 2446040600 3057550750 4892081200 6115101500 7643876875 12230203000 15287753750 24460406000 30575507500 61151015000 122302030000