Search a number
-
+
1110010220100 = 2232527871567147
BaseRepresentation
bin10000001001110001110…
…000111100111001000100
310221010010112001122012100
4100021301300330321010
5121141300104020400
62205533123152100
7143124042123465
oct20116160747104
93833115048170
101110010220100
11398830916571
1215b164215630
138089a933532
143ba20b2ad6c
151dd196cc100
hex10271c3ce44

1110010220100 has 108 divisors (see below), whose sum is σ = 3483688512304. Its totient is φ = 295626421440.

The previous prime is 1110010220071. The next prime is 1110010220117. The reversal of 1110010220100 is 10220100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 75274 + ... + 1491873.

Almost surely, 21110010220100 is an apocalyptic number.

1110010220100 is a gapful number since it is divisible by the number (10) 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 1110010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741844256152).

1110010220100 is an abundant number, since it is smaller than the sum of its proper divisors (2373678292204).

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

1110010220100 is a wasteful number, since it uses less digits than its factorization.

1110010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567954 (or 1567944 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110010220100 its reverse (10220100111), we get a palindrome (1120230320211).

The spelling of 1110010220100 in words is "one trillion, one hundred ten billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 787 900 1574 2361 3148 3935 4722 7083 7870 9444 11805 14166 15740 19675 23610 28332 35415 39350 47220 59025 70830 78700 118050 141660 177075 236100 354150 708300 1567147 3134294 4701441 6268588 7835735 9402882 14104323 15671470 18805764 23507205 28208646 31342940 39178675 47014410 56417292 70521615 78357350 94028820 117536025 141043230 156714700 235072050 282086460 352608075 470144100 705216150 1233344689 1410432300 2466689378 3700034067 4933378756 6166723445 7400068134 11100102201 12333446890 14800136268 18500170335 22200204402 24666893780 30833617225 37000340670 44400408804 55500511005 61667234450 74000681340 92500851675 111001022010 123334468900 185001703350 222002044020 277502555025 370003406700 555005110050 1110010220100