Search a number
-
+
1122210300312 = 2336557345463
BaseRepresentation
bin10000010101001000111…
…100100100000110011000
310222021121202122221000000
4100111020330210012120
5121341241314102222
62215311501213000
7144035263110453
oct20251074440630
93867552587000
101122210300312
113a2a21505392
121615a9b61160
1381a9337c9ca
143c45b14c49a
151e2d07c09ac
hex10548f24198

1122210300312 has 112 divisors (see below), whose sum is σ = 3160446312240. Its totient is φ = 373397439168.

The previous prime is 1122210300283. The next prime is 1122210300313. The reversal of 1122210300312 is 2130030122211.

1122210300312 is a `hidden beast` number, since 1 + 122 + 210 + 300 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122210300313) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3075693 + ... + 3421155.

It is an arithmetic number, because the mean of its divisors is an integer number (28218270645).

Almost surely, 21122210300312 is an apocalyptic number.

1122210300312 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 1122210300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580223156120).

1122210300312 is an abundant number, since it is smaller than the sum of its proper divisors (2038236011928).

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

1122210300312 is an equidigital number, since it uses as much as digits as its factorization.

1122210300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346044 (or 346025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122210300312 its reverse (2130030122211), we get a palindrome (3252240422523).

The spelling of 1122210300312 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 557 648 729 972 1114 1458 1671 1944 2228 2916 3342 4456 5013 5832 6684 10026 13368 15039 20052 30078 40104 45117 60156 90234 120312 135351 180468 270702 345463 360936 406053 541404 690926 812106 1036389 1082808 1381852 1624212 2072778 2763704 3109167 3248424 4145556 6218334 8291112 9327501 12436668 18655002 24873336 27982503 37310004 55965006 74620008 83947509 111930012 167895018 192422891 223860024 251842527 335790036 384845782 503685054 577268673 671580072 769691564 1007370108 1154537346 1539383128 1731806019 2014740216 2309074692 3463612038 4618149384 5195418057 6927224076 10390836114 13854448152 15586254171 20781672228 31172508342 41563344456 46758762513 62345016684 93517525026 124690033368 140276287539 187035050052 280552575078 374070100104 561105150156 1122210300312