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122005345 = 57211172663
BaseRepresentation
bin1110100010110…
…10011101100001
322111120111212111
413101122131201
5222213132340
620034555321
73011012500
oct721323541
9274514774
10122005345
1162961470
1234a38b41
131c379917
14122bc837
15aa9eaea
hex745a761

122005345 has 48 divisors (see below), whose sum is σ = 196795008. Its totient is φ = 71554560.

The previous prime is 122005343. The next prime is 122005361. The reversal of 122005345 is 543500221.

It is not a de Polignac number, because 122005345 - 21 = 122005343 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122005343) 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, 44484 + ... + 47146.

It is an arithmetic number, because the mean of its divisors is an integer number (4099896).

Almost surely, 2122005345 is an apocalyptic number.

It is an amenable number.

122005345 is a deficient number, since it is larger than the sum of its proper divisors (74789663).

122005345 is a wasteful number, since it uses less digits than its factorization.

122005345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 122005345 is about 11045.6029713185. The cubic root of 122005345 is about 495.9748093021.

Adding to 122005345 its reverse (543500221), we get a palindrome (665505566).

The spelling of 122005345 in words is "one hundred twenty-two million, five thousand, three hundred forty-five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 595 833 935 1309 2663 2695 4165 6545 9163 13315 18641 29293 45271 45815 93205 130487 146465 205051 226355 316897 497981 652435 1025255 1435357 1584485 2218279 2489905 3485867 7176785 11091395 17429335 24401069 122005345