Search a number
-
+
1322103110000 = 24541021129491
BaseRepresentation
bin10011001111010011011…
…111000111100101110000
311200101120122020210000212
4103033103133013211300
5133130131344010000
62451211002003252
7164342643004331
oct23172337074560
94611518223025
101322103110000
1146a778813952
121942957a6528
139789b40b65a
1447dc0cca288
15245ce61ec35
hex133d37c7970

1322103110000 has 100 divisors (see below), whose sum is σ = 3204103689864. Its totient is φ = 528319200000.

The previous prime is 1322103109981. The next prime is 1322103110017. The reversal of 1322103110000 is 113012231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10145255 + ... + 10274745.

Almost surely, 21322103110000 is an apocalyptic number.

1322103110000 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 1322103110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602051844932).

1322103110000 is an abundant number, since it is smaller than the sum of its proper divisors (1882000579864).

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

1322103110000 is a wasteful number, since it uses less digits than its factorization.

1322103110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130540 (or 130519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1322103110000 its reverse (113012231), we get a palindrome (1322216122231).

The spelling of 1322103110000 in words is "one trillion, three hundred twenty-two billion, one hundred three million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1021 1250 2000 2042 2500 4084 5000 5105 8168 10000 10210 16336 20420 25525 40840 51050 81680 102100 127625 129491 204200 255250 258982 408400 510500 517964 638125 647455 1021000 1035928 1276250 1294910 2042000 2071856 2552500 2589820 3237275 5105000 5179640 6474550 10210000 10359280 12949100 16186375 25898200 32372750 51796400 64745500 80931875 129491000 132210311 161863750 258982000 264420622 323727500 528841244 647455000 661051555 1057682488 1294910000 1322103110 2115364976 2644206220 3305257775 5288412440 6610515550 10576824880 13221031100 16526288875 26442062200 33052577750 52884124400 66105155500 82631444375 132210311000 165262888750 264420622000 330525777500 661051555000 1322103110000