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1022043200442 = 231167359364327
BaseRepresentation
bin11101101111101101000…
…01011001101110111010
310121201001221121000211020
432313312201121232322
5113221121024403232
62101304204443310
7133561116602355
oct16676641315672
93551057530736
101022043200442
1136449a818720
121460b4249536
13754bc065004
1437677c3129c
151b8bba79e2c
hexedf6859bba

1022043200442 has 64 divisors (see below), whose sum is σ = 2263859794944. Its totient is φ = 304997869440.

The previous prime is 1022043200393. The next prime is 1022043200443. The reversal of 1022043200442 is 2440023402201.

It is not an unprimeable number, because it can be changed into a prime (1022043200443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15856083 + ... + 15920409.

It is an arithmetic number, because the mean of its divisors is an integer number (35372809296).

Almost surely, 21022043200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022043200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131929897472).

1022043200442 is an abundant number, since it is smaller than the sum of its proper divisors (1241816594502).

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

1022043200442 is a wasteful number, since it uses less digits than its factorization.

1022043200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68003.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1022043200442 its reverse (2440023402201), we get a palindrome (3462066602643).

The spelling of 1022043200442 in words is "one trillion, twenty-two billion, forty-three million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 3593 4422 7186 10779 21558 39523 64327 79046 118569 128654 192981 237138 240731 385962 481462 707597 722193 1415194 1444386 2122791 2648041 4245582 4309909 5296082 7944123 8619818 12929727 15888246 25859454 47408999 94817998 142226997 231126911 284453994 462253822 693380733 1386761466 2542396021 5084792042 7627188063 15254376126 15485503037 30971006074 46456509111 92913018222 170340533407 340681066814 511021600221 1022043200442