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122103020013330 = 23579295341534201
BaseRepresentation
bin11011110000110101010011…
…001000100100011100010010
3121000022221020101221210121210
4123300311103020210130102
5112001013441110411310
61111405204130200550
734501436443306266
oct3360652310443422
9530287211853553
10122103020013330
11359a666663a884
1211840472423156
13531935b0714c5
142221b63ab60a6
15e1b2a6a66820
hex6f0d53224712

122103020013330 has 128 divisors (see below), whose sum is σ = 296999360824320. Its totient is φ = 32122369843200.

The previous prime is 122103020013287. The next prime is 122103020013361. The reversal of 122103020013330 is 33310020301221.

It is a junction number, because it is equal to n+sod(n) for n = 122103020013297 and 122103020013306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29065225230 + ... + 29065229430.

It is an arithmetic number, because the mean of its divisors is an integer number (2320307506440).

Almost surely, 2122103020013330 is an apocalyptic number.

122103020013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122103020013330 is an abundant number, since it is smaller than the sum of its proper divisors (174896340810990).

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

122103020013330 is a wasteful number, since it uses less digits than its factorization.

122103020013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122103020013330 its reverse (33310020301221), we get a palindrome (155413040314551).

The spelling of 122103020013330 in words is "one hundred twenty-two trillion, one hundred three billion, twenty million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 395 474 790 1185 2370 2953 4153 4201 5906 8306 8402 8859 12459 12603 14765 17718 20765 21005 24918 25206 29530 41530 42010 44295 62295 63015 88590 124590 126030 233287 328087 331879 466574 656174 663758 699861 984261 995637 1166435 1399722 1640435 1659395 1968522 1991274 2332870 3280870 3318790 3499305 4921305 4978185 6998610 9842610 9956370 12263809 12405553 17446753 24527618 24811106 34893506 36791427 37216659 52340259 61319045 62027765 73582854 74433318 87233765 104680518 122638090 124055530 174467530 183957135 186083295 261701295 367914270 372166590 523402590 968840911 980038687 1378293487 1937681822 1960077374 2756586974 2906522733 2940116061 4134880461 4844204555 4900193435 5813045466 5880232122 6891467435 8269760922 9688409110 9800386870 13782934870 14532613665 14700580305 20674402305 29065227330 29401160610 41348804610 51520261609 103040523218 154560784827 257601308045 309121569654 515202616090 772803924135 1545607848270 4070100667111 8140201334222 12210302001333 20350503335555 24420604002666 40701006671110 61051510006665 122103020013330