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2231431114302 = 2331319251666529
BaseRepresentation
bin100000011110001011101…
…010001010111000111110
321220022201021022120121000
4200132023222022320332
5243024432331124202
64425034424551130
7320133641342565
oct40361352127076
97808637276530
102231431114302
11790387766405
123005719224a6
1313256659c320
147a0050aabdc
153d0a0a1991c
hex2078ba8ae3e

2231431114302 has 128 divisors (see below), whose sum is σ = 5643642816000. Its totient is φ = 647865216000.

The previous prime is 2231431114291. The next prime is 2231431114331. The reversal of 2231431114302 is 2034111341322.

2231431114302 is a `hidden beast` number, since 2 + 2 + 31 + 4 + 311 + 14 + 302 = 666.

2231431114302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22314311143023 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3014574 + ... + 3681102.

It is an arithmetic number, because the mean of its divisors is an integer number (44090959500).

Almost surely, 22231431114302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231431114302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821821408000).

2231431114302 is an abundant number, since it is smaller than the sum of its proper divisors (3412211701698).

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

2231431114302 is a wasteful number, since it uses less digits than its factorization.

2231431114302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666823 (or 666817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2231431114302 its reverse (2034111341322), we get a palindrome (4265542455624).

The spelling of 2231431114302 in words is "two trillion, two hundred thirty-one billion, four hundred thirty-one million, one hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 251 342 351 494 502 513 702 741 753 1026 1482 1506 2223 2259 3263 4446 4518 4769 6526 6669 6777 9538 9789 13338 13554 14307 19578 28614 29367 42921 58734 61997 85842 88101 123994 128763 176202 185991 257526 371982 557973 666529 1115946 1333058 1673919 1999587 3347838 3999174 5998761 8664877 11997522 12664051 17329754 17996283 25328102 25994631 35992566 37992153 51989262 75984306 77983893 113976459 155967786 164632663 167298779 227952918 233951679 329265326 334597558 341929377 467903358 493897989 501896337 683858754 987795978 1003792674 1481693967 1505689011 2174884127 2963387934 3011378022 3178676801 4349768254 4445081901 4517067033 6357353602 6524652381 8890163802 9034134066 9536030403 13049304762 19072060806 19573957143 28608091209 39147914286 41322798413 57216182418 58721871429 82645596826 85824273627 117443742858 123968395239 171648547254 247936790478 371905185717 743810371434 1115715557151 2231431114302