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122345451130 = 257191372233011
BaseRepresentation
bin111000111110001011…
…0110110111001111010
3102200210110112212120211
41301330112312321322
54001030413414010
6132112115341334
711560556114230
oct1617426667172
9380713485524
10122345451130
11479828aa291
121b8652b184a
13b6ca0b4286
145cc8a46950
1532b0d5408a
hex1c7c5b6e7a

122345451130 has 128 divisors (see below), whose sum is σ = 268147998720. Its totient is φ = 39259261440.

The previous prime is 122345451119. The next prime is 122345451209. The reversal of 122345451130 is 31154543221.

It is a junction number, because it is equal to n+sod(n) for n = 122345451092 and 122345451101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40631325 + ... + 40634335.

It is an arithmetic number, because the mean of its divisors is an integer number (2094906240).

Almost surely, 2122345451130 is an apocalyptic number.

122345451130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122345451130 is an abundant number, since it is smaller than the sum of its proper divisors (145802547590).

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

122345451130 is a wasteful number, since it uses less digits than its factorization.

122345451130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 122345451130 its reverse (31154543221), we get a palindrome (153499994351).

The spelling of 122345451130 in words is "one hundred twenty-two billion, three hundred forty-five million, four hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 137 190 223 266 274 446 665 685 959 1115 1330 1370 1561 1918 2230 2603 3011 3122 4237 4795 5206 6022 7805 8474 9590 13015 15055 15610 18221 21077 21185 26030 29659 30110 30551 36442 42154 42370 57209 59318 61102 91105 105385 114418 148295 152755 182210 210770 213857 286045 296590 305510 400463 412507 427714 572090 580469 671453 800926 825014 1069285 1160938 1342906 2002315 2062535 2138570 2887549 2902345 3357265 4004630 4063283 4125070 4700171 5775098 5804690 6714530 7837633 8126566 9400342 12757607 14437745 15675266 20316415 23500855 25515214 28875490 39188165 40632830 47001710 54863431 63788035 78376330 89303249 91989061 109726862 127576070 178606498 183978122 274317155 446516245 459945305 548634310 643923427 893032490 919890610 1287846854 1747792159 3219617135 3495584318 6439234270 8738960795 12234545113 17477921590 24469090226 61172725565 122345451130