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122413411000 = 235353243579
BaseRepresentation
bin111001000000001101…
…0000110101010111000
3102200222012102121000001
41302000122012222320
54001200313123000
6132122544122344
711562342553036
oct1620032065270
9380865377001
10122413411000
1147a081a7571
121b8840063b4
13b70b1ba30a
145cd3a97556
1532b6cca46a
hex1c80686ab8

122413411000 has 96 divisors (see below), whose sum is σ = 291960723600. Its totient is φ = 48040387200.

The previous prime is 122413410971. The next prime is 122413411007. The reversal of 122413411000 is 114314221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122413411007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787211 + ... + 2830789.

Almost surely, 2122413411000 is an apocalyptic number.

122413411000 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 122413411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145980361800).

122413411000 is an abundant number, since it is smaller than the sum of its proper divisors (169547312600).

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

122413411000 is an equidigital number, since it uses as much as digits as its factorization.

122413411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43706 (or 43639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122413411000 its reverse (114314221), we get a palindrome (122527725221).

The spelling of 122413411000 in words is "one hundred twenty-two billion, four hundred thirteen million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 2809 5300 5618 6625 10600 11236 13250 14045 22472 26500 28090 43579 53000 56180 70225 87158 112360 140450 174316 217895 280900 348632 351125 435790 561800 702250 871580 1089475 1404500 1743160 2178950 2309687 2809000 4357900 4619374 5447375 8715800 9238748 10894750 11548435 18477496 21789500 23096870 43579000 46193740 57742175 92387480 115484350 122413411 230968700 244826822 288710875 461937400 489653644 577421750 612067055 979307288 1154843500 1224134110 2309687000 2448268220 3060335275 4896536440 6120670550 12241341100 15301676375 24482682200 30603352750 61206705500 122413411000