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1100313302024 = 233761424114369
BaseRepresentation
bin10000000000101111110…
…010001001010000001000
310220012002201121011022102
4100000233302021100020
5121011420201131044
62201251004412532
7142331534515346
oct20005762112010
93805081534272
101100313302024
113947051a0492
121592b8847148
137c9b39828a1
143b380d40996
151d94d23b24e
hex1002fc89408

1100313302024 has 64 divisors (see below), whose sum is σ = 2154239463600. Its totient is φ = 526351564800.

The previous prime is 1100313301979. The next prime is 1100313302041. The reversal of 1100313302024 is 4202033130011.

It can be written as a sum of positive squares in 8 ways, for example, as 869127352900 + 231185949124 = 932270^2 + 480818^2 .

It is a super-2 number, since 2×11003133020242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100313301987 and 1100313302005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76568312 + ... + 76582680.

Almost surely, 21100313302024 is an apocalyptic number.

It is an amenable number.

1100313302024 is a deficient number, since it is larger than the sum of its proper divisors (1053926161576).

1100313302024 is a wasteful number, since it uses less digits than its factorization.

1100313302024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18714 (or 18710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1100313302024 its reverse (4202033130011), we get a palindrome (5302346432035).

The spelling of 1100313302024 in words is "one trillion, one hundred billion, three hundred thirteen million, three hundred two thousand, twenty-four".

Divisors: 1 2 4 8 37 61 74 122 148 244 296 488 2257 4241 4514 8482 9028 14369 16964 18056 28738 33928 57476 114952 156917 258701 313834 517402 531653 627668 876509 1034804 1063306 1255336 1753018 2069608 2126612 3506036 4253224 7012072 9571937 19143874 32430833 38287748 60938929 64861666 76575496 121877858 129723332 243755716 259446664 487511432 2254740373 3717274669 4509480746 7434549338 9018961492 14869098676 18037922984 29738197352 137539162753 275078325506 550156651012 1100313302024