Search a number
-
+
11020120100 = 22521110199191
BaseRepresentation
bin10100100001101100…
…11011000000100100
31001110000022002211022
422100312123000210
5140032122320400
65021303230312
7540042322013
oct122066330044
931400262738
1011020120100
114745630380
122176748398
131068150632
1476782aa7a
15447715b85
hex290d9b024

11020120100 has 72 divisors (see below), whose sum is σ = 26346188736. Its totient is φ = 3967600000.

The previous prime is 11020120093. The next prime is 11020120129. The reversal of 11020120100 is 102102011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61505 + ... + 160695.

It is an arithmetic number, because the mean of its divisors is an integer number (365919288).

Almost surely, 211020120100 is an apocalyptic number.

11020120100 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 11020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173094368).

11020120100 is an abundant number, since it is smaller than the sum of its proper divisors (15326068636).

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

11020120100 is a wasteful number, since it uses less digits than its factorization.

11020120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99317 (or 99310 counting only the distinct ones).

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

Adding to 11020120100 its reverse (102102011), we get a palindrome (11122222111).

The spelling of 11020120100 in words is "eleven billion, twenty million, one hundred twenty 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 10100 11110 22220 27775 55550 99191 111100 198382 396764 495955 991910 1091101 1983820 2182202 2479775 4364404 4959550 5455505 9919100 10018291 10911010 20036582 21822020 27277525 40073164 50091455 54555050 100182910 109110100 110201201 200365820 220402402 250457275 440804804 500914550 551006005 1001829100 1102012010 2204024020 2755030025 5510060050 11020120100