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1121110100 = 22521110110091
BaseRepresentation
bin100001011010010…
…1100100001010100
32220010120021221022
41002310230201110
54244001010400
6303125140312
736532164365
oct10264544124
92803507838
101121110100
11525923680
1227355a698
1314b362476
14a8c75b6c
1568655b85
hex42d2c854

1121110100 has 72 divisors (see below), whose sum is σ = 2680515936. Its totient is φ = 403600000.

The previous prime is 1121110087. The next prime is 1121110103. The reversal of 1121110100 is 10111211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106055 + ... + 116145.

It is an arithmetic number, because the mean of its divisors is an integer number (37229388).

Almost surely, 21121110100 is an apocalyptic number.

1121110100 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 1121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340257968).

1121110100 is an abundant number, since it is smaller than the sum of its proper divisors (1559405836).

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

1121110100 is a wasteful number, since it uses less digits than its factorization.

1121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1121110100 is about 33482.9822447165. The cubic root of 1121110100 is about 1038.8418134856.

Adding to 1121110100 its reverse (10111211), we get a palindrome (1131221311).

The spelling of 1121110100 in words is "one billion, one hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10091 10100 11110 20182 22220 27775 40364 50455 55550 100910 111001 111100 201820 222002 252275 444004 504550 555005 1009100 1019191 1110010 2038382 2220020 2775025 4076764 5095955 5550050 10191910 11100100 11211101 20383820 22422202 25479775 44844404 50959550 56055505 101919100 112111010 224222020 280277525 560555050 1121110100