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310120201102122 = 23217228900061229
BaseRepresentation
bin100011010000011010111110…
…0011011001010001100101010
31111200001012110000202111102200
41012200311330123022030222
5311122002132440231442
63015323130440041030
7122215305453504345
oct10640657433121452
91450035400674380
10310120201102122
118a8a5269783664
122a947457a63176
13104072952c9528
145681c7d89945c
1525cbe1122d34c
hex11a0d7c6ca32a

310120201102122 has 12 divisors (see below), whose sum is σ = 671927102387970. Its totient is φ = 103373400367368.

The previous prime is 310120201102099. The next prime is 310120201102163. The reversal of 310120201102122 is 221201102021013.

310120201102122 is a `hidden beast` number, since 310 + 1 + 20 + 201 + 10 + 2 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173534489216001 + 136585711886121 = 13173249^2 + 11686989^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17228900061229 = 310120201102122 / (3 + 1 + 0 + 1 + 2 + 0 + 2 + 0 + 1 + 1 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 310120201102095 and 310120201102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8614450030597 + ... + 8614450030632.

Almost surely, 2310120201102122 is an apocalyptic number.

310120201102122 is an abundant number, since it is smaller than the sum of its proper divisors (361806901285848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310120201102122 is a wasteful number, since it uses less digits than its factorization.

310120201102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17228900061237 (or 17228900061234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 310120201102122 its reverse (221201102021013), we get a palindrome (531321303123135).

The spelling of 310120201102122 in words is "three hundred ten trillion, one hundred twenty billion, two hundred one million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 17228900061229 34457800122458 51686700183687 103373400367374 155060100551061 310120201102122