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1031125024413 = 341119459113267
BaseRepresentation
bin11110000000100111101…
…01110011111010011101
310122120111212122111020000
433000103311303322131
5113343221001240123
62105405311444513
7134332145044311
oct17002365637235
93576455574200
101031125024413
11368330216470
12147a09826739
1376308763953
1437c9a065b41
151bc4e01ab43
hexf013d73e9d

1031125024413 has 80 divisors (see below), whose sum is σ = 1769310090240. Its totient is φ = 591859936800.

The previous prime is 1031125024351. The next prime is 1031125024439. The reversal of 1031125024413 is 3144205211301.

1031125024413 is a `hidden beast` number, since 1 + 0 + 3 + 112 + 502 + 4 + 41 + 3 = 666.

It is not a de Polignac number, because 1031125024413 - 232 = 1026830057117 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031125020413) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 77714406 + ... + 77727672.

It is an arithmetic number, because the mean of its divisors is an integer number (22116376128).

Almost surely, 21031125024413 is an apocalyptic number.

It is an amenable number.

1031125024413 is a deficient number, since it is larger than the sum of its proper divisors (738185065827).

1031125024413 is a wasteful number, since it uses less digits than its factorization.

1031125024413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17900 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1031125024413 in words is "one trillion, thirty-one billion, one hundred twenty-five million, twenty-four thousand, four hundred thirteen".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1881 4591 5643 13267 13773 16929 39801 41319 50501 87229 119403 123957 145937 151503 252073 261687 358209 371871 437811 454509 756219 785061 959519 1074627 1313433 1363527 2268657 2355183 2772803 2878557 3940299 4090581 6805971 7065549 8318409 8635671 11820897 20417913 24955227 25907013 60908797 74865681 77721039 182726391 224597043 548179173 669996767 1157267143 1644537519 2009990301 3471801429 4933612557 6029970903 10415404287 12729938573 18089912709 31246212861 38189815719 54269738127 93738638583 114569447157 343708341471 1031125024413