Search a number
-
+
1101030120120 = 233579071445149
BaseRepresentation
bin10000000001011010100…
…000100101101010111000
310220020221200102021212210
4100001122200211222320
5121014402202320440
62201450052335120
7142355360414130
oct20013240455270
93806850367783
101101030120120
11394a42887537
121594789144a0
137ca9932ccc8
143b40c215ac0
151d991131a80
hex1005a825ab8

1101030120120 has 128 divisors (see below), whose sum is σ = 3779125056000. Its totient is φ = 251386384896.

The previous prime is 1101030120103. The next prime is 1101030120121. The reversal of 1101030120120 is 210210301011.

It is a super-2 number, since 2×11010301201202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101030120096 and 1101030120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101030120121) 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, 39306 + ... + 1484454.

It is an arithmetic number, because the mean of its divisors is an integer number (29524414500).

Almost surely, 21101030120120 is an apocalyptic number.

1101030120120 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 1101030120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889562528000).

1101030120120 is an abundant number, since it is smaller than the sum of its proper divisors (2678094935880).

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

1101030120120 is a wasteful number, since it uses less digits than its factorization.

1101030120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446077 (or 1446073 counting only the distinct ones).

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

Adding to 1101030120120 its reverse (210210301011), we get a palindrome (1311240421131).

The spelling of 1101030120120 in words is "one trillion, one hundred one billion, thirty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 907 1814 2721 3628 4535 5442 6349 7256 9070 10884 12698 13605 18140 19047 21768 25396 27210 31745 36280 38094 50792 54420 63490 76188 95235 108840 126980 152376 190470 253960 380940 761880 1445149 2890298 4335447 5780596 7225745 8670894 10116043 11561192 14451490 17341788 20232086 21677235 28902980 30348129 34683576 40464172 43354470 50580215 57805960 60696258 80928344 86708940 101160430 121392516 151740645 173417880 202320860 242785032 303481290 404641720 606962580 1213925160 1310750143 2621500286 3932250429 5243000572 6553750715 7864500858 9175251001 10486001144 13107501430 15729001716 18350502002 19661252145 26215002860 27525753003 31458003432 36701004004 39322504290 45876255005 52430005720 55051506006 73402008008 78645008580 91752510010 110103012012 137628765015 157290017160 183505020020 220206024024 275257530030 367010040040 550515060060 1101030120120