Search a number
-
+
1101020120 = 235234725463
BaseRepresentation
bin100000110100000…
…0011101111011000
32211201202121122222
41001220003233120
54223330120440
6301130403212
736166342124
oct10150035730
92751677588
101101020120
11515551792
12268890508
1314714a0c5
14a6326584
15669d82b5
hex41a03bd8

1101020120 has 64 divisors (see below), whose sum is σ = 2640107520. Its totient is φ = 412280704.

The previous prime is 1101020111. The next prime is 1101020159. The reversal of 1101020120 is 210201011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1101020098 and 1101020107.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30509 + ... + 55971.

It is an arithmetic number, because the mean of its divisors is an integer number (41251680).

Almost surely, 21101020120 is an apocalyptic number.

1101020120 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 1101020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320053760).

1101020120 is an abundant number, since it is smaller than the sum of its proper divisors (1539087400).

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

1101020120 is a wasteful number, since it uses less digits than its factorization.

1101020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25540 counting only the distinct ones).

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

The square root of 1101020120 is about 33181.6232273227. The cubic root of 1101020120 is about 1032.5991227996.

Adding to 1101020120 its reverse (210201011), we get a palindrome (1311221131).

The spelling of 1101020120 in words is "one billion, one hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 5405 8648 10810 21620 25463 43240 50926 101852 127315 203704 254630 509260 585649 1018520 1171298 1196761 2342596 2393522 2928245 4685192 4787044 5856490 5983805 9574088 11712980 11967610 23425960 23935220 27525503 47870440 55051006 110102012 137627515 220204024 275255030 550510060 1101020120