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122115315201 = 31127331314723
BaseRepresentation
bin111000110111010100…
…0111101011000000001
3102200012102111202102220
41301232220331120001
54000043010041301
6132033215001253
711552063024055
oct1615650753001
9380172452386
10122115315201
1147874a03800
121b800209229
13b691508179
145ca625bc65
15329aa45936
hex1c6ea3d601

122115315201 has 48 divisors (see below), whose sum is σ = 182011491648. Its totient is φ = 72757301760.

The previous prime is 122115315199. The next prime is 122115315209. The reversal of 122115315201 is 102513511221.

It is not a de Polignac number, because 122115315201 - 21 = 122115315199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122115315209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8286826 + ... + 8301548.

It is an arithmetic number, because the mean of its divisors is an integer number (3791906076).

Almost surely, 2122115315201 is an apocalyptic number.

122115315201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122115315201 is a deficient number, since it is larger than the sum of its proper divisors (59896176447).

122115315201 is a wasteful number, since it uses less digits than its factorization.

122115315201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 122115315201 its reverse (102513511221), we get a palindrome (224628826422).

The spelling of 122115315201 in words is "one hundred twenty-two billion, one hundred fifteen million, three hundred fifteen thousand, two hundred one".

Divisors: 1 3 11 33 73 121 219 313 363 803 939 2409 3443 8833 10329 14723 22849 26499 37873 44169 68547 113619 161953 251339 485859 754017 1074779 1781483 2764729 3224337 4608299 5344449 8294187 11822569 13824897 35467707 50691289 130048259 152073867 336405827 390144777 557604179 1009217481 1672812537 3700464097 11101392291 40705105067 122115315201