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1222021000116 = 2232721760939341
BaseRepresentation
bin10001110010000110001…
…000001010101110110100
311022211020202002211012100
4101302012020022232310
5130010144334000431
62333215543022100
7154200551054400
oct21620610125664
94284222084170
101222021000116
1143128aaa6444
12178a0443a930
138b30b8b03a7
1443208db4100
1521bc30b64e6
hex11c8620abb4

1222021000116 has 108 divisors (see below), whose sum is σ = 3593619059940. Its totient is φ = 349120154880.

The previous prime is 1222021000009. The next prime is 1222021000121. The reversal of 1222021000116 is 6110001202221.

It can be written as a sum of positive squares in 2 ways, for example, as 414934375716 + 807086624400 = 644154^2 + 898380^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 31042606 + ... + 31081946.

It is an arithmetic number, because the mean of its divisors is an integer number (33274250555).

Almost surely, 21222021000116 is an apocalyptic number.

It is an amenable number.

1222021000116 is an abundant number, since it is smaller than the sum of its proper divisors (2371598059824).

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

1222021000116 is a wasteful number, since it uses less digits than its factorization.

1222021000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56974 (or 56962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1222021000116 its reverse (6110001202221), we get a palindrome (7332022202337).

The spelling of 1222021000116 in words is "one trillion, two hundred twenty-two billion, twenty-one million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 17609 35218 39341 52827 70436 78682 105654 118023 123263 157364 158481 211308 236046 246526 275387 316962 354069 369789 472092 493052 550774 633924 708138 739578 826161 862841 1101548 1109367 1416276 1479156 1652322 1725682 1927709 2218734 2478483 2588523 3304644 3451364 3855418 4437468 4956966 5177046 5783127 7710836 7765569 9913932 10354092 11566254 15531138 17349381 23132508 31062276 34698762 69397524 692755669 1385511338 2078267007 2771022676 4156534014 4849289683 6234801021 8313068028 9698579366 12469602042 14547869049 19397158732 24939204084 29095738098 33945027781 43643607147 58191476196 67890055562 87287214294 101835083343 135780111124 174574428588 203670166686 305505250029 407340333372 611010500058 1222021000116