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2122020103112 = 237134770987473
BaseRepresentation
bin11110111000010010010…
…000010010001111001000
321111212022020012022222022
4132320102100102033020
5234231344121244422
64302501555144012
7306211431160640
oct36702220221710
97455266168868
102122020103112
11748a42033308
122a33182a5008
1312514b114110
14749c6205520
153a2ea4b7342
hex1ee124123c8

2122020103112 has 128 divisors (see below), whose sum is σ = 5008271385600. Its totient is φ = 820450971648.

The previous prime is 2122020103111. The next prime is 2122020103117. The reversal of 2122020103112 is 2113010202212.

It is a super-2 number, since 2×21220201031122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122020103111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24215408 + ... + 24302880.

It is an arithmetic number, because the mean of its divisors is an integer number (39127120200).

Almost surely, 22122020103112 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 2122020103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504135692800).

2122020103112 is an abundant number, since it is smaller than the sum of its proper divisors (2886251282488).

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

2122020103112 is a wasteful number, since it uses less digits than its factorization.

2122020103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88255 (or 88251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2122020103112 its reverse (2113010202212), we get a palindrome (4235030305324).

The spelling of 2122020103112 in words is "two trillion, one hundred twenty-two billion, twenty million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 182 188 329 364 376 611 658 709 728 1222 1316 1418 2444 2632 2836 4277 4888 4963 5672 8554 9217 9926 17108 18434 19852 33323 34216 36868 39704 64519 66646 73736 87473 129038 133292 174946 233261 258076 266584 349892 433199 466522 516152 612311 699784 866398 933044 1137149 1224622 1732796 1866088 2274298 2449244 3032393 3465592 4111231 4548596 4898488 6064786 7960043 8222462 9097192 12129572 15920086 16444924 24259144 28778617 31840172 32889848 53446003 57557234 62018357 63680344 106892006 115114468 124036714 213784012 230228936 248073428 374122021 427568024 434128499 496146856 748244042 806238641 868256998 1496488084 1612477282 1736513996 2914862779 2992976168 3224954564 3473027992 5643670487 5829725558 6449909128 11287340974 11659451116 20404039453 22574681948 23318902232 37893216127 40808078906 45149363896 75786432254 81616157812 151572864508 163232315624 265252512889 303145729016 530505025778 1061010051556 2122020103112