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2122053463024 = 241171569298451
BaseRepresentation
bin11110111000010100001…
…111100010101111110000
321111212101112222012011121
4132320110033202233300
5234231431141304044
64302505150152024
7306212314552105
oct36702417425760
97455345865147
102122053463024
11748a59949090
122a33274b2614
13125154cc4501
14749ca80aaac
153a2ed3a6984
hex1ee143e2bf0

2122053463024 has 80 divisors (see below), whose sum is σ = 4556430869760. Its totient is φ = 949309760000.

The previous prime is 2122053462901. The next prime is 2122053463043. The reversal of 2122053463024 is 4203643502212.

It is a super-2 number, since 2×21220534630242 (a number of 25 digits) contains 22 as substring.

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, 6960999 + ... + 7259449.

It is an arithmetic number, because the mean of its divisors is an integer number (56955385872).

Almost surely, 22122053463024 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 2122053463024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278215434880).

2122053463024 is an abundant number, since it is smaller than the sum of its proper divisors (2434377406736).

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

2122053463024 is a wasteful number, since it uses less digits than its factorization.

2122053463024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299110 (or 299104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 2122053463024 its reverse (4203643502212), we get a palindrome (6325696965236).

The spelling of 2122053463024 in words is "two trillion, one hundred twenty-two billion, fifty-three million, four hundred sixty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 569 781 1136 1138 1562 2276 3124 4552 6248 6259 9104 12496 12518 25036 40399 50072 80798 100144 161596 298451 323192 444389 596902 646384 888778 1193804 1777556 2387608 3282961 3555112 4775216 6565922 7110224 13131844 21190021 26263688 42380042 52527376 84760084 169520168 169818619 233090231 339040336 339637238 466180462 679274476 932360924 1358548952 1864721848 1868004809 2717097904 3729443696 3736009618 7472019236 12057121949 14944038472 24114243898 29888076944 48228487796 96456975592 132628341439 192913951184 265256682878 530513365756 1061026731512 2122053463024