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122330000113335 = 3257388349206709
BaseRepresentation
bin11011110100001000101100…
…001100111011111010110111
3121001010122010001001120111100
4123310020230030323322313
5112013223320012111320
61112101343133341143
734524023304315060
oct3364105414737267
9531118101046440
10122330000113335
1135a83952a22493
12118784596377b3
135334891bc44a1
14222cb370d9567
15e2213d93e790
hex6f422c33beb7

122330000113335 has 24 divisors (see below), whose sum is σ = 242329904987040. Its totient is φ = 55922285765952.

The previous prime is 122330000113247. The next prime is 122330000113393. The reversal of 122330000113335 is 533311000033221.

122330000113335 is a `hidden beast` number, since 1 + 2 + 23 + 300 + 0 + 0 + 1 + 1 + 3 + 335 = 666.

It is not a de Polignac number, because 122330000113335 - 211 = 122330000111287 is a prime.

It is a super-2 number, since 2×1223300001133352 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330000113299 and 122330000113308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194174603040 + ... + 194174603669.

It is an arithmetic number, because the mean of its divisors is an integer number (10097079374460).

Almost surely, 2122330000113335 is an apocalyptic number.

122330000113335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122330000113335 is a deficient number, since it is larger than the sum of its proper divisors (119999904873705).

122330000113335 is a wasteful number, since it uses less digits than its factorization.

122330000113335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388349206727 (or 388349206724 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 122330000113335 its reverse (533311000033221), we get a palindrome (655641000146556).

The spelling of 122330000113335 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirteen thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 388349206709 1165047620127 1941746033545 2718444446963 3495142860381 5825238100635 8155333340889 13592222234815 17475714301905 24466000022667 40776666704445 122330000113335