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122421810200 = 23522326613437
BaseRepresentation
bin111001000000011101…
…0001001010000011000
3102200222210020022112112
41302000322021100120
54001204440411300
6132123444131452
711562504134354
oct1620072112030
9380883208475
10122421810200
1147a11a13a58
121b886996b88
13b70cb6b361
145cd4c42464
1532b78d8e35
hex1c80e89418

122421810200 has 48 divisors (see below), whose sum is σ = 297005968080. Its totient is φ = 46839647360.

The previous prime is 122421810197. The next prime is 122421810209. The reversal of 122421810200 is 2018124221.

It is a super-2 number, since 2×1224218102002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122421810209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13302119 + ... + 13311318.

It is an arithmetic number, because the mean of its divisors is an integer number (6187624335).

Almost surely, 2122421810200 is an apocalyptic number.

122421810200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122421810200 is an abundant number, since it is smaller than the sum of its proper divisors (174584157880).

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

122421810200 is a wasteful number, since it uses less digits than its factorization.

122421810200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26613476 (or 26613467 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 122421810200 its reverse (2018124221), we get a palindrome (124439934421).

The spelling of 122421810200 in words is "one hundred twenty-two billion, four hundred twenty-one million, eight hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 26613437 53226874 106453748 133067185 212907496 266134370 532268740 612109051 665335925 1064537480 1224218102 1330671850 2448436204 2661343700 3060545255 4896872408 5322687400 6121090510 12242181020 15302726275 24484362040 30605452550 61210905100 122421810200