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122106105330 = 23511883419047
BaseRepresentation
bin111000110111000010…
…1110100110111110010
3102200011210011211212120
41301232011310313302
54000033130332310
6132032245335110
711551621525116
oct1615605646762
9380153154776
10122106105330
114786a793240
121b7b9107496
13b68c632141
145ca4d41746
153299d26b70
hex1c6e174df2

122106105330 has 64 divisors (see below), whose sum is σ = 320058805248. Its totient is φ = 29567885760.

The previous prime is 122106105311. The next prime is 122106105349. The reversal of 122106105330 is 33501601221.

It is an interprime number because it is at equal distance from previous prime (122106105311) and next prime (122106105349).

It is a super-2 number, since 2×1221061053302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122106105330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81867 + ... + 500913.

It is an arithmetic number, because the mean of its divisors is an integer number (5000918832).

Almost surely, 2122106105330 is an apocalyptic number.

122106105330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122106105330 is an abundant number, since it is smaller than the sum of its proper divisors (197952699918).

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

122106105330 is a wasteful number, since it uses less digits than its factorization.

122106105330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419951.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 122106105330 its reverse (33501601221), we get a palindrome (155607706551).

The spelling of 122106105330 in words is "one hundred twenty-two billion, one hundred six million, one hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 883 1766 2649 4415 5298 8830 9713 13245 19426 26490 29139 48565 58278 97130 145695 291390 419047 838094 1257141 2095235 2514282 4190470 4609517 6285705 9219034 12571410 13828551 23047585 27657102 46095170 69142755 138285510 370018501 740037002 1110055503 1850092505 2220111006 3700185010 4070203511 5550277515 8140407022 11100555030 12210610533 20351017555 24421221066 40702035110 61053052665 122106105330