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1100021200212 = 22311101463178207
BaseRepresentation
bin10000000000011110010…
…111110111010101010100
310220011100100221211221210
4100000132113313111110
5121010320411401322
62201202011541420
7142321356632514
oct20003627672524
93804310854853
101100021200212
11394575321030
12159236a5a870
137c9682bba8c
143b354225844
151d93278c70c
hex1001e5f7554

1100021200212 has 96 divisors (see below), whose sum is σ = 2833900683264. Its totient is φ = 329324688000.

The previous prime is 1100021200199. The next prime is 1100021200247. The reversal of 1100021200212 is 2120021200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6083613 + ... + 6261819.

It is an arithmetic number, because the mean of its divisors is an integer number (29519798784).

Almost surely, 21100021200212 is an apocalyptic number.

1100021200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100021200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416950341632).

1100021200212 is an abundant number, since it is smaller than the sum of its proper divisors (1733879483052).

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

1100021200212 is a wasteful number, since it uses less digits than its factorization.

1100021200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178789 (or 178787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100021200212 its reverse (2120021200011), we get a palindrome (3220042400223).

It can be divided in two parts, 11000 and 21200212, that added together give a palindrome (21211212).

The spelling of 1100021200212 in words is "one trillion, one hundred billion, twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 463 606 926 1111 1212 1389 1852 2222 2778 3333 4444 5093 5556 6666 10186 13332 15279 20372 30558 46763 61116 93526 140289 178207 187052 280578 356414 514393 534621 561156 712828 1028786 1069242 1543179 1960277 2057572 2138484 3086358 3920554 5880831 6172716 7841108 11761662 17998907 23523324 35997814 53996721 71995628 82509841 107993442 165019682 197987977 215986884 247529523 330039364 395975954 495059046 593963931 791951908 907608251 990118092 1187927862 1815216502 2375855724 2722824753 3630433004 5445649506 8333493941 10891299012 16666987882 25000481823 33333975764 50000963646 91668433351 100001927292 183336866702 275005300053 366673733404 550010600106 1100021200212