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122102202201 = 37127197307757
BaseRepresentation
bin111000110110111011…
…0111011111101011001
3102200011111211112210020
41301231312323331121
54000031130432301
6132032025541053
711551543410540
oct1615566737531
9380144745706
10122102202201
1147868567811
121b7b7944789
13b68b8966b5
145ca4607157
153299805436
hex1c6ddbbf59

122102202201 has 64 divisors (see below), whose sum is σ = 189341171712. Its totient is φ = 68556886272.

The previous prime is 122102202199. The next prime is 122102202241. The reversal of 122102202201 is 102202201221.

It is not a de Polignac number, because 122102202201 - 21 = 122102202199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122102202241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161297115 + ... + 161297871.

It is an arithmetic number, because the mean of its divisors is an integer number (2958455808).

Almost surely, 2122102202201 is an apocalyptic number.

It is an amenable number.

122102202201 is a deficient number, since it is larger than the sum of its proper divisors (67238969511).

122102202201 is a wasteful number, since it uses less digits than its factorization.

122102202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102202201 its reverse (102202201221), we get a palindrome (224304403422).

The spelling of 122102202201 in words is "one hundred twenty-two billion, one hundred two million, two hundred two thousand, two hundred one".

Divisors: 1 3 7 21 127 197 307 381 591 757 889 921 1379 2149 2271 2667 4137 5299 6447 15897 25019 38989 60479 75057 96139 116967 149129 175133 181437 232399 272923 288417 423353 447387 525399 672973 697197 818769 1043903 1270059 1626793 2018919 3131709 4880379 7680833 18939383 23042499 29514673 45782603 53765831 56818149 88544019 132575681 137347809 161297493 206602711 320478221 397727043 619808133 961434663 5814390581 17443171743 40700734067 122102202201