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122552010345 = 351711310634001
BaseRepresentation
bin111001000100010101…
…0110100011001101001
3102201022212020011120010
41302020222310121221
54001441303312340
6132144414522133
711565644620542
oct1621052643151
9381285204503
10122552010345
1147a79462286
121b902506349
13b730b26c6b
145d082554c9
1532c4056b80
hex1c88ab4669

122552010345 has 64 divisors (see below), whose sum is σ = 209704287744. Its totient is φ = 60899328000.

The previous prime is 122552010319. The next prime is 122552010349. The reversal of 122552010345 is 543010255221.

It is not a de Polignac number, because 122552010345 - 212 = 122552006249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122552010349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30628345 + ... + 30632345.

It is an arithmetic number, because the mean of its divisors is an integer number (3276629496).

Almost surely, 2122552010345 is an apocalyptic number.

122552010345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122552010345 is a deficient number, since it is larger than the sum of its proper divisors (87152277399).

122552010345 is a wasteful number, since it uses less digits than its factorization.

122552010345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 122552010345 its reverse (543010255221), we get a palindrome (665562265566).

The spelling of 122552010345 in words is "one hundred twenty-two billion, five hundred fifty-two million, ten thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 51 85 113 255 339 565 1063 1695 1921 3189 4001 5315 5763 9605 12003 15945 18071 20005 28815 54213 60015 68017 90355 120119 204051 271065 340085 360357 452113 600595 1020255 1356339 1801785 2042023 2260565 4253063 6126069 6781695 7685921 10210115 12759189 21265315 23057763 30630345 38429605 63795945 72302071 115288815 216906213 361510355 480596119 1084531065 1441788357 2402980595 7208941785 8170134023 24510402069 40850670115 122552010345