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122300011300 = 225219471369541
BaseRepresentation
bin111000111100110100…
…1100001001100100100
3102200200022001021212011
41301321221201030210
54000432300330200
6132103413404004
711556464641465
oct1617151411444
9380608037764
10122300011300
114795a193705
121b852039604
13b6c08646bc
145cc29b8d6c
1532abd7a5ba
hex1c79a61324

122300011300 has 72 divisors (see below), whose sum is σ = 285302989440. Its totient is φ = 45359164800.

The previous prime is 122300011277. The next prime is 122300011303. The reversal of 122300011300 is 3110003221.

It is not an unprimeable number, because it can be changed into a prime (122300011303) 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, 595471 + ... + 774070.

It is an arithmetic number, because the mean of its divisors is an integer number (3962541520).

Almost surely, 2122300011300 is an apocalyptic number.

122300011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122300011300 is an abundant number, since it is smaller than the sum of its proper divisors (163002978140).

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

122300011300 is a wasteful number, since it uses less digits than its factorization.

122300011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369621 (or 1369614 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 122300011300 its reverse (3110003221), we get a palindrome (125410014521).

The spelling of 122300011300 in words is "one hundred twenty-two billion, three hundred million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 893 940 950 1175 1786 1900 2350 3572 4465 4700 8930 17860 22325 44650 89300 1369541 2739082 5478164 6847705 13695410 26021279 27390820 34238525 52042558 64368427 68477050 104085116 128736854 130106395 136954100 257473708 260212790 321842135 520425580 643684270 650531975 1223000113 1287368540 1301063950 1609210675 2446000226 2602127900 3218421350 4892000452 6115000565 6436842700 12230001130 24460002260 30575002825 61150005650 122300011300