Search a number
-
+
1110010022000 = 24531164777983
BaseRepresentation
bin10000001001110001110…
…000001100100001110000
310221010010111200120110022
4100021301300030201300
5121141300031201000
62205533115023012
7143124040340105
oct20116160144160
93833114616408
101110010022000
113988307a0750
1215b16413aa68
138089a894309
143ba20ab8aac
151dd1968d585
hex10271c0c870

1110010022000 has 160 divisors (see below), whose sum is σ = 2932567732224. Its totient is φ = 403010976000.

The previous prime is 1110010021979. The next prime is 1110010022087. The reversal of 1110010022000 is 2200100111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14195009 + ... + 14272991.

Almost surely, 21110010022000 is an apocalyptic number.

1110010022000 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 1110010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466283866112).

1110010022000 is an abundant number, since it is smaller than the sum of its proper divisors (1822557710224).

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

1110010022000 is a wasteful number, since it uses less digits than its factorization.

1110010022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78664 (or 78648 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110010022000 its reverse (2200100111), we get a palindrome (1112210122111).

The spelling of 1110010022000 in words is "one trillion, one hundred ten billion, ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 647 880 1000 1100 1294 1375 2000 2200 2588 2750 3235 4400 5176 5500 6470 7117 10352 11000 12940 14234 16175 22000 25880 28468 32350 35585 51760 56936 64700 71170 77983 80875 113872 129400 142340 155966 161750 177925 258800 284680 311932 323500 355850 389915 569360 623864 647000 711700 779830 857813 889625 1247728 1294000 1423400 1559660 1715626 1779250 1949575 2846800 3119320 3431252 3558500 3899150 4289065 6238640 6862504 7117000 7798300 8578130 9747875 13725008 14234000 15596600 17156260 19495750 21445325 31193200 34312520 38991500 42890650 50455001 68625040 77983000 85781300 100910002 107226625 155966000 171562600 201820004 214453250 252275005 343125200 403640008 428906500 504550010 555005011 807280016 857813000 1009100020 1110010022 1261375025 1715626000 2018200040 2220020044 2522750050 2775025055 4036400080 4440040088 5045500100 5550050110 6306875125 8880080176 10091000200 11100100220 12613750250 13875125275 20182000400 22200200440 25227500500 27750250550 44400400880 50455001000 55500501100 69375626375 100910002000 111001002200 138751252750 222002004400 277502505500 555005011000 1110010022000