Search a number
-
+
1101103130120 = 235717607938053
BaseRepresentation
bin10000000001011110110…
…111000110011000001000
310220021010202210120202212
4100001132313012120020
5121020024400130440
62201501221244252
7142360235115230
oct20013667063010
93807122716685
101101103130120
11394a80013a84
12159499263688
137caab4b38a6
143b417bbccc0
151d997754465
hex1005edc6608

1101103130120 has 128 divisors (see below), whose sum is σ = 2998533427200. Its totient is φ = 355246166016.

The previous prime is 1101103130093. The next prime is 1101103130147. The reversal of 1101103130120 is 210313011011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101103130093) and next prime (1101103130147).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1101103130095 and 1101103130104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28917014 + ... + 28955066.

It is an arithmetic number, because the mean of its divisors is an integer number (23426042400).

Almost surely, 21101103130120 is an apocalyptic number.

1101103130120 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 1101103130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499266713600).

1101103130120 is an abundant number, since it is smaller than the sum of its proper divisors (1897430297080).

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

1101103130120 is a wasteful number, since it uses less digits than its factorization.

1101103130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44167 (or 44163 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1101103130120 its reverse (210313011011), we get a palindrome (1311416141131).

The spelling of 1101103130120 in words is "one trillion, one hundred one billion, one hundred three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 6079 12158 24316 30395 38053 42553 48632 60790 76106 85106 103343 121580 152212 170212 190265 206686 212765 243160 266371 304424 340424 380530 413372 425530 516715 532742 646901 723401 761060 826744 851060 1033430 1065484 1293802 1331855 1446802 1522120 1702120 2066860 2130968 2587604 2663710 2893604 3234505 3617005 4133720 4528307 5175208 5327420 5787208 6469010 7234010 9056614 10654840 12938020 14468020 18113228 22641535 25876040 28936040 36226456 45283070 90566140 181132280 231324187 462648374 925296748 1156620935 1619269309 1850593496 2313241870 3238538618 3932511179 4626483740 6477077236 7865022358 8096346545 9252967480 12954154472 15730044716 16192693090 19662555895 27527578253 31460089432 32385386180 39325111790 55055156506 64770772360 78650223580 110110313012 137637891265 157300447160 220220626024 275275782530 550551565060 1101103130120