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331205313141136 = 24741237733033971
BaseRepresentation
bin100101101001110101011111…
…1000010011001100110010000
31121102200220210201221222202201
41023103222333002121212100
5321402431440131004021
63132225341555052544
7126522536262630610
oct11323527702314620
91542626721858681
10331205313141136
11965944258441a5
12311919852a1154
13112a66b0b09955
145bb05cbc02a40
1528456249d2591
hex12d3abf099990

331205313141136 has 80 divisors (see below), whose sum is σ = 751302437816448. Its totient is φ = 138477186892800.

The previous prime is 331205313141133. The next prime is 331205313141137. The reversal of 331205313141136 is 631141313502133.

It is a junction number, because it is equal to n+sod(n) for n = 331205313141095 and 331205313141104.

It is not an unprimeable number, because it can be changed into a prime (331205313141133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107648631 + ... + 110682601.

Almost surely, 2331205313141136 is an apocalyptic number.

It is an amenable number.

331205313141136 is an abundant number, since it is smaller than the sum of its proper divisors (420097124675312).

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

331205313141136 is a wasteful number, since it uses less digits than its factorization.

331205313141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057800 (or 3057794 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

Adding to 331205313141136 its reverse (631141313502133), we get a palindrome (962346626643269).

The spelling of 331205313141136 in words is "three hundred thirty-one trillion, two hundred five billion, three hundred thirteen million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 23773 47546 95092 166411 190184 332822 380368 665644 974693 1331288 1949386 2662576 3033971 3898772 6067942 6822851 7797544 12135884 13645702 15595088 21237797 24271768 27291404 42475594 48543536 54582808 84951188 109165616 124392811 169902376 248785622 339804752 497571244 870749677 995142488 1741499354 1990284976 3482998708 6965997416 13931994832 72126592583 144253185166 288506370332 504886148081 577012740664 1009772296162 1154025481328 2019544592324 2957190295903 4039089184648 5914380591806 8078178369296 11828761183612 20700332071321 23657522367224 41400664142642 47315044734448 82801328285284 165602656570568 331205313141136