Search a number
-
+
1312202320044 = 2237111481958901
BaseRepresentation
bin10011000110000101010…
…110100110100010101100
311122110000122011112111120
4103012011112212202230
5132444342243220134
62442452321420540
7163542411454440
oct23060526464254
94573018145446
101312202320044
11466558000910
12192391a9a750
1396981149265
1447721dd0820
152420030c649
hex131855a68ac

1312202320044 has 96 divisors (see below), whose sum is σ = 3819897349632. Its totient is φ = 340601280000.

The previous prime is 1312202320043. The next prime is 1312202320063. The reversal of 1312202320044 is 4400232022131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1312202319996 and 1312202320023.

It is not an unprimeable number, because it can be changed into a prime (1312202320043) 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, 888994 + ... + 1847894.

It is an arithmetic number, because the mean of its divisors is an integer number (39790597392).

Almost surely, 21312202320044 is an apocalyptic number.

1312202320044 is a gapful number since it is divisible by the number (14) 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 1312202320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909948674816).

1312202320044 is an abundant number, since it is smaller than the sum of its proper divisors (2507695029588).

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

1312202320044 is a wasteful number, since it uses less digits than its factorization.

1312202320044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960407 (or 960405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1312202320044 its reverse (4400232022131), we get a palindrome (5712434342175).

The spelling of 1312202320044 in words is "one trillion, three hundred twelve billion, two hundred two million, three hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1481 2962 4443 5924 8886 10367 16291 17772 20734 31101 32582 41468 48873 62202 65164 97746 114037 124404 195492 228074 342111 456148 684222 958901 1368444 1917802 2876703 3835604 5753406 6712307 10547911 11506812 13424614 20136921 21095822 26849228 31643733 40273842 42191644 63287466 73835377 80547684 126574932 147670754 221506131 295341508 443012262 886024524 1420132381 2840264762 4260397143 5680529524 8520794286 9940926667 15621456191 17041588572 19881853334 29822780001 31242912382 39763706668 46864368573 59645560002 62485824764 93728737146 109350193337 119291120004 187457474292 218700386674 328050580011 437400773348 656101160022 1312202320044