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122344201355445 = 3252718760030121
BaseRepresentation
bin11011110100010101111010…
…101010011000000010110101
3121001011222202202012102100100
4123310111322222120002311
5112013441411021333240
61112112052235304313
734525035235013226
oct3364257252300265
9531158682172310
10122344201355445
1135a89980181913
121187b1615ab099
135336016103b24
14222d6c31d924d
15e226c0574e30
hex6f457aa980b5

122344201355445 has 12 divisors (see below), whose sum is σ = 212063282349516. Its totient is φ = 65250240722880.

The previous prime is 122344201355437. The next prime is 122344201355459. The reversal of 122344201355445 is 544553102443221.

122344201355445 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 42 + 0 + 13 + 554 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50079937651524 + 72264263703921 = 7076718^2 + 8500839^2 .

It is not a de Polignac number, because 122344201355445 - 23 = 122344201355437 is a prime.

It is a super-2 number, since 2×1223442013554452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2718760030121 = 122344201355445 / (1 + 2 + 2 + 3 + 4 + 4 + 2 + 0 + 1 + 3 + 5 + 5 + 4 + 4 + 5).

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 122344201355445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359380015016 + ... + 1359380015105.

It is an arithmetic number, because the mean of its divisors is an integer number (17671940195793).

Almost surely, 2122344201355445 is an apocalyptic number.

122344201355445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122344201355445 is a deficient number, since it is larger than the sum of its proper divisors (89719080994071).

122344201355445 is a wasteful number, since it uses less digits than its factorization.

122344201355445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718760030132 (or 2718760030129 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 122344201355445 its reverse (544553102443221), we get a palindrome (666897303798666).

The spelling of 122344201355445 in words is "one hundred twenty-two trillion, three hundred forty-four billion, two hundred one million, three hundred fifty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 2718760030121 8156280090363 13593800150605 24468840271089 40781400451815 122344201355445