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122553434523132 = 22323404262070087
BaseRepresentation
bin11011110111011000110001…
…111011100100010111111100
3121001220222211120022121210100
4123313120301323210113330
5112030403413214220012
61112352134240241100
734546123232416404
oct3367306173442774
9531828746277710
10122553434523132
113605a68a910608
12118b3815310190
13534c97c2a1322
142239891669804
15e27d693d28dc
hex6f7631ee45fc

122553434523132 has 18 divisors (see below), whose sum is σ = 309787848378008. Its totient is φ = 40851144841032.

The previous prime is 122553434523131. The next prime is 122553434523139. The reversal of 122553434523132 is 231325434355221.

122553434523132 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 343 + 45 + 231 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122553434523131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1702131035008 + ... + 1702131035079.

Almost surely, 2122553434523132 is an apocalyptic number.

122553434523132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122553434523132 is an abundant number, since it is smaller than the sum of its proper divisors (187234413854876).

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

122553434523132 is a wasteful number, since it uses less digits than its factorization.

122553434523132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404262070097 (or 3404262070092 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Adding to 122553434523132 its reverse (231325434355221), we get a palindrome (353878868878353).

The spelling of 122553434523132 in words is "one hundred twenty-two trillion, five hundred fifty-three billion, four hundred thirty-four million, five hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3404262070087 6808524140174 10212786210261 13617048280348 20425572420522 30638358630783 40851144841044 61276717261566 122553434523132