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122331233000442 = 2310724451400093
BaseRepresentation
bin11011110100001001110101…
…101100000001101111111010
3121001010202021221221201122210
4123310021311230001233322
5112013233331122003232
61112102105334355550
734524065664555114
oct3364116554015772
9531122257851583
10122331233000442
1135a84425950854
12118787424bbbb6
135334a2a461a9b
14222cc12b4a3b4
15e221b1cc45cc
hex6f4275b01bfa

122331233000442 has 48 divisors (see below), whose sum is σ = 247026504789792. Its totient is φ = 40386806829600.

The previous prime is 122331233000399. The next prime is 122331233000479. The reversal of 122331233000442 is 244000332133221.

It is a happy 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, 305556948 + ... + 305957040.

It is an arithmetic number, because the mean of its divisors is an integer number (5146385516454).

Almost surely, 2122331233000442 is an apocalyptic number.

122331233000442 is an abundant number, since it is smaller than the sum of its proper divisors (124695271789350).

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

122331233000442 is a wasteful number, since it uses less digits than its factorization.

122331233000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404763 (or 404656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 122331233000442 its reverse (244000332133221), we get a palindrome (366331565133663).

The spelling of 122331233000442 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred thirty-three million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 107 214 321 642 4451 8902 11449 13353 22898 26706 34347 68694 400093 476257 800186 952514 1200279 1428771 2400558 2857542 42809951 50959499 85619902 101918998 128429853 152878497 256859706 305756994 1780813943 3561627886 4580664757 5342441829 9161329514 10684883658 13741994271 27483988542 190547091901 381094183802 571641275703 1143282551406 20388538833407 40777077666814 61165616500221 122331233000442