Search a number
-
+
111001111010010 = 23351362635049377
BaseRepresentation
bin11001001111010001110101…
…110010101001101011011010
3112120000121021021112100211000
4121033101311302221223122
5104022120233404310020
61032025112331045430
732244365002636044
oct3117216562515332
9476017237470730
10111001111010010
1132406341410381
12105489135a0876
1349c248a7a4170
141d5a6a7b50a94
15cc75d8787090
hex64f475ca9ada

111001111010010 has 128 divisors (see below), whose sum is σ = 318823382223360. Its totient is φ = 27318982330368.

The previous prime is 111001111009993. The next prime is 111001111010089. The reversal of 111001111010010 is 10010111100111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111001111009974 and 111001111010001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19458442 + ... + 24507818.

It is an arithmetic number, because the mean of its divisors is an integer number (2490807673620).

Almost surely, 2111001111010010 is an apocalyptic number.

111001111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001111010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159411691111680).

111001111010010 is an abundant number, since it is smaller than the sum of its proper divisors (207822271213350).

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

111001111010010 is a wasteful number, since it uses less digits than its factorization.

111001111010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055669 (or 5055663 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111001111010010 its reverse (10010111100111), we get a palindrome (121011222110121).

The spelling of 111001111010010 in words is "one hundred eleven trillion, one billion, one hundred eleven million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 6263 12526 18789 31315 37578 56367 62630 81419 93945 112734 162838 169101 187890 244257 281835 338202 407095 488514 563670 732771 814190 845505 1221285 1465542 1691010 2198313 2442570 3663855 4396626 5049377 7327710 10098754 10991565 15148131 21983130 25246885 30296262 45444393 50493770 65641901 75740655 90888786 131283802 136333179 151481310 196925703 227221965 272666358 328209505 393851406 454443930 590777109 656419010 681665895 984628515 1181554218 1363331790 1772331327 1969257030 2953885545 3544662654 5907771090 8861656635 17723313270 31624248151 63248496302 94872744453 158121240755 189745488906 284618233359 316242481510 411115225963 474363722265 569236466718 822230451926 853854700077 948727444530 1233345677889 1423091166795 1707709400154 2055576129815 2466691355778 2846182333590 3700037033667 4111152259630 4269273500385 6166728389445 7400074067334 8538547000770 11100111101001 12333456778890 18500185168335 22200222202002 37000370336670 55500555505005 111001111010010