Search a number
-
+
12113103033000 = 2332531345900337
BaseRepresentation
bin1011000001000100110100…
…1101000001001010101000
31120220000000222101111012200
42300101031031001022220
53041430113334024000
641432403244340200
72360066661642264
oct260211515011250
946800028344180
1012113103033000
1139501579685a2
121437725844660
1369b350a37198
142dc3c4d490a4
15160152660500
hexb044d3412a8

12113103033000 has 96 divisors (see below), whose sum is σ = 40942288281960. Its totient is φ = 3230160806400.

The previous prime is 12113103032969. The next prime is 12113103033067. The reversal of 12113103033000 is 33030131121.

It is a happy number.

12113103033000 is a `hidden beast` number, since 1 + 21 + 1 + 310 + 3 + 0 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4209054353604 + 7904048679396 = 2051598^2 + 2811414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672941169 + ... + 672959168.

Almost surely, 212113103033000 is an apocalyptic number.

12113103033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113103033000 is an abundant number, since it is smaller than the sum of its proper divisors (28829185248960).

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

12113103033000 is a wasteful number, since it uses less digits than its factorization.

12113103033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345900364 (or 1345900347 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12113103033000 its reverse (33030131121), we get a palindrome (12146133164121).

The spelling of 12113103033000 in words is "twelve trillion, one hundred thirteen billion, one hundred three million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1345900337 2691800674 4037701011 5383601348 6729501685 8075402022 10767202696 12113103033 13459003370 16150804044 20188505055 24226206066 26918006740 32301608088 33647508425 40377010110 48452412132 53836013480 60565515165 67295016850 80754020220 96904824264 100942525275 121131030330 134590033700 161508040440 168237542125 201885050550 242262060660 269180067400 302827575825 336475084250 403770101100 484524121320 504712626375 605655151650 672950168500 807540202200 1009425252750 1211310303300 1345900337000 1514137879125 2018850505500 2422620606600 3028275758250 4037701011000 6056551516500 12113103033000