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1022200000112 = 24312339299521
BaseRepresentation
bin11101101111111111101…
…11100010111001110000
310121201110212122021112102
432313333313202321300
5113221431200000422
62101331525315532
7133565032432304
oct16677767427160
93551425567472
101022200000112
11364570284625
12146138865ba8
13755156a4b95
14376909a9d04
151b8ca6ee192
hexedffde2e70

1022200000112 has 80 divisors (see below), whose sum is σ = 2055600218880. Its totient is φ = 491908300800.

The previous prime is 1022200000109. The next prime is 1022200000139. The reversal of 1022200000112 is 2110000022201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022200000093 and 1022200000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107357912 + ... + 107367432.

It is an arithmetic number, because the mean of its divisors is an integer number (25695002736).

Almost surely, 21022200000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022200000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027800109440).

1022200000112 is an abundant number, since it is smaller than the sum of its proper divisors (1033400218768).

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

1022200000112 is a wasteful number, since it uses less digits than its factorization.

1022200000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022200000112 its reverse (2110000022201), we get a palindrome (3132200022313).

The spelling of 1022200000112 in words is "one trillion, twenty-two billion, two hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 124 233 248 466 496 929 932 1858 1864 3716 3728 7223 7432 9521 14446 14864 19042 28799 28892 38084 57598 57784 76168 115196 115568 152336 216457 230392 295151 432914 460784 590302 865828 1180604 1731656 2218393 2361208 3463312 4436786 4722416 6710167 8845009 8873572 13420334 17690018 17747144 26840668 35380036 35494288 53681336 68770183 70760072 107362672 137540366 141520144 274195279 275080732 548390558 550161464 1096781116 1100322928 2060887097 2193562232 4121774194 4387124464 8243548388 16487096776 32974193552 63887500007 127775000014 255550000028 511100000056 1022200000112