Search a number
-
+
1111000220112 = 2433753103114593
BaseRepresentation
bin10000001010101100110…
…001100000000111010000
310221012200111220211220110
4100022230301200013100
5121200312024020422
62210215250241320
7143160423025056
oct20125461400720
93835614824813
101111000220112
1139919972a1a2
1215b39b886240
13809c7a7bb63
143bab63d41d6
151dd7658560c
hex102acc601d0

1111000220112 has 160 divisors (see below), whose sum is σ = 3032454267648. Its totient is φ = 350090477568.

The previous prime is 1111000220053. The next prime is 1111000220119. The reversal of 1111000220112 is 2110220001111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111000220119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9637888 + ... + 9752480.

Almost surely, 21111000220112 is an apocalyptic number.

1111000220112 is a gapful number since it is divisible by the number (12) 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 1111000220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516227133824).

1111000220112 is an abundant number, since it is smaller than the sum of its proper divisors (1921454047536).

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

1111000220112 is a wasteful number, since it uses less digits than its factorization.

1111000220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114797 (or 114791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1111000220112 its reverse (2110220001111), we get a palindrome (3221220221223).

The spelling of 1111000220112 in words is "one trillion, one hundred eleven billion, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 53 74 103 106 111 148 159 206 212 222 296 309 318 412 424 444 592 618 636 824 848 888 1236 1272 1648 1776 1961 2472 2544 3811 3922 4944 5459 5883 7622 7844 10918 11433 11766 15244 15688 16377 21836 22866 23532 30488 31376 32754 43672 45732 47064 60976 65508 87344 91464 94128 114593 131016 182928 201983 229186 262032 343779 403966 458372 605949 687558 807932 916744 1211898 1375116 1615864 1833488 2423796 2750232 3231728 4239941 4847592 5500464 6073429 8479882 9695184 11803079 12146858 12719823 16959764 18220287 23606158 24293716 25439646 33919528 35409237 36440574 47212316 48587432 50879292 67839056 70818474 72881148 94424632 97174864 101758584 141636948 145762296 188849264 203517168 224716873 283273896 291524592 436713923 449433746 566547792 625563187 674150619 873427846 898867492 1251126374 1310141769 1348301238 1746855692 1797734984 1876689561 2502252748 2620283538 2696602476 3493711384 3595469968 3753379122 5004505496 5240567076 5393204952 6987422768 7506758244 10009010992 10481134152 10786409904 15013516488 20962268304 23145837919 30027032976 46291675838 69437513757 92583351676 138875027514 185166703352 277750055028 370333406704 555500110056 1111000220112