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122423201300 = 225229154927253
BaseRepresentation
bin111001000000011111…
…1011100111000010100
3102200222212211222202202
41302000333130320110
54001210314420200
6132123534024032
711562522020141
oct1620077347024
9380885758682
10122423201300
1147a12784124
121b887348018
13b7102375aa
145cd50c53c8
1532b7ab11d5
hex1c80fdce14

122423201300 has 72 divisors (see below), whose sum is σ = 275006487000. Its totient is φ = 47248427520.

The previous prime is 122423201287. The next prime is 122423201357. The reversal of 122423201300 is 3102324221.

It can be written as a sum of positive squares in 12 ways, for example, as 38691676804 + 83731524496 = 196702^2 + 289364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4478474 + ... + 4505726.

Almost surely, 2122423201300 is an apocalyptic number.

122423201300 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 122423201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137503243500).

122423201300 is an abundant number, since it is smaller than the sum of its proper divisors (152583285700).

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

122423201300 is a wasteful number, since it uses less digits than its factorization.

122423201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28845 (or 28838 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122423201300 its reverse (3102324221), we get a palindrome (125525525521).

The spelling of 122423201300 in words is "one hundred twenty-two billion, four hundred twenty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1549 2900 3098 6196 7745 15490 27253 30980 38725 44921 54506 77450 89842 109012 136265 154900 179684 224605 272530 449210 545060 681325 790337 898420 1123025 1362650 1580674 2246050 2725300 3161348 3951685 4492100 7903370 15806740 19758425 39516850 42214897 79033700 84429794 168859588 211074485 422148970 844297940 1055372425 1224232013 2110744850 2448464026 4221489700 4896928052 6121160065 12242320130 24484640260 30605800325 61211600650 122423201300