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1031341300444 = 2271319193772663
BaseRepresentation
bin11110000001000001011…
…10110101101011011100
310122121001221121110011101
433000200232311223130
5113344141333103234
62105442555202444
7134340412260550
oct17004056655334
93577057543141
101031341300444
11368431305894
12147a6a146424
13763414c9330
1437cbaa83860
151bc62edc814
hexf020bb5adc

1031341300444 has 96 divisors (see below), whose sum is σ = 2350382074880. Its totient is φ = 384526061568.

The previous prime is 1031341300397. The next prime is 1031341300453. The reversal of 1031341300444 is 4440031431301.

It is a happy number.

1031341300444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948457 + ... + 1721119.

Almost surely, 21031341300444 is an apocalyptic number.

1031341300444 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 1031341300444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175191037440).

1031341300444 is an abundant number, since it is smaller than the sum of its proper divisors (1319040774436).

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

1031341300444 is a wasteful number, since it uses less digits than its factorization.

1031341300444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772899 (or 772897 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1031341300444 its reverse (4440031431301), we get a palindrome (5471372731745).

The spelling of 1031341300444 in words is "one trillion, thirty-one billion, three hundred forty-one million, three hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 193 247 266 364 386 494 532 772 988 1351 1729 2509 2702 3458 3667 5018 5404 6916 7334 10036 14668 17563 25669 35126 47671 51338 70252 95342 102676 190684 333697 667394 772663 1334788 1545326 3090652 5408641 10044619 10817282 14680597 20089238 21634564 29361194 40178476 58722388 70312333 102764179 140624666 149123959 190847761 205528358 281249332 298247918 381695522 411056716 596495836 763391044 1043867713 1335934327 1938611467 2087735426 2671868654 2833355221 3877222934 4175470852 5343737308 5666710442 7754445868 11333420884 13570280269 19833486547 27140560538 36833617873 39666973094 54281121076 73667235746 79333946188 147334471492 257835325111 515670650222 1031341300444