Search a number
-
+
1112101111000 = 235311431234571
BaseRepresentation
bin10000001011101110011…
…001000100010011011000
310221022112020102220022001
4100023232121010103120
5121210040341023000
62210520414210344
7143226621321355
oct20135631042330
93838466386261
101112101111000
113997040a2880
1215b6484b39b4
1380b41b82199
143bb7c6c562c
151dddd04546a
hex102ee6444d8

1112101111000 has 128 divisors (see below), whose sum is σ = 2845489720320. Its totient is φ = 403460400000.

The previous prime is 1112101110977. The next prime is 1112101111003. The reversal of 1112101111000 is 1111012111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112101111003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4623715 + ... + 4858285.

It is an arithmetic number, because the mean of its divisors is an integer number (22230388440).

Almost surely, 21112101111000 is an apocalyptic number.

1112101111000 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 1112101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422744860160).

1112101111000 is an abundant number, since it is smaller than the sum of its proper divisors (1733388609320).

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

1112101111000 is a wasteful number, since it uses less digits than its factorization.

1112101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235034 (or 235020 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1112101111000 its reverse (1111012111), we get a palindrome (1113212123111).

The spelling of 1112101111000 in words is "one trillion, one hundred twelve billion, one hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 431 440 500 550 862 1000 1100 1375 1724 2155 2200 2750 3448 4310 4741 5500 8620 9482 10775 11000 17240 18964 21550 23705 37928 43100 47410 53875 86200 94820 107750 118525 189640 215500 234571 237050 431000 469142 474100 592625 938284 948200 1172855 1185250 1876568 2345710 2370500 2580281 4691420 4741000 5160562 5864275 9382840 10321124 11728550 12901405 20642248 23457100 25802810 29321375 46914200 51605620 58642750 64507025 101100101 103211240 117285500 129014050 202200202 234571000 258028100 322535125 404400404 505500505 516056200 645070250 808800808 1011001010 1112101111 1290140500 2022002020 2224202222 2527502525 2580281000 4044004040 4448404444 5055005050 5560505555 8896808888 10110010100 11121011110 12637512625 20220020200 22242022220 25275025250 27802527775 44484044440 50550050500 55605055550 101100101000 111210111100 139012638875 222420222200 278025277750 556050555500 1112101111000