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10131120404343 = 32172312736236257
BaseRepresentation
bin1001001101101101010111…
…0101010011011101110111
31022212112012012101221021100
42103123111311103131313
52311442013310414333
633314101130221143
72063643415366521
oct223332565233567
938775165357240
1010131120404343
113256647394554
12117758b8847b3
1358648c1a61b3
142704c5328a11
1512880131d213
hex936d5d53777

10131120404343 has 96 divisors (see below), whose sum is σ = 16302748041216. Its totient is φ = 6029893545984.

The previous prime is 10131120404341. The next prime is 10131120404359. The reversal of 10131120404343 is 34340402113101.

10131120404343 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 2 + 0 + 4 + 0 + 4 + 343 = 666.

It is not a de Polignac number, because 10131120404343 - 21 = 10131120404341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131120404341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1619162671 + ... + 1619168927.

It is an arithmetic number, because the mean of its divisors is an integer number (169820292096).

Almost surely, 210131120404343 is an apocalyptic number.

10131120404343 is a deficient number, since it is larger than the sum of its proper divisors (6171627636873).

10131120404343 is a wasteful number, since it uses less digits than its factorization.

10131120404343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10050 counting only the distinct ones).

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

Adding to 10131120404343 its reverse (34340402113101), we get a palindrome (44471522517444).

The spelling of 10131120404343 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty million, four hundred four thousand, three hundred forty-three".

Divisors: 1 3 9 17 23 51 69 127 153 207 381 391 1143 1173 2159 2921 3519 3623 6257 6477 8763 10869 18771 19431 26289 32607 49657 56313 61591 83329 106369 143911 148971 184773 249987 319107 431733 446913 460121 554319 749961 794639 957321 1295199 1380363 1416593 2383917 2446487 4141089 4249779 7151751 7339461 7822057 10582783 12749337 13508863 18276697 22018383 22669111 23466171 31748349 40526589 54830091 68007333 70398513 95245047 121579767 164490273 179907311 204021999 310703849 385374887 521389553 539721933 932111547 1156124661 1564168659 1619165799 2796334641 2878977097 3468373983 4692505977 8636931291 8863622401 25910793873 26590867203 48942610649 66216473231 79772601609 146827831947 198649419693 440483495841 595948259079 1125680044927 3377040134781 10131120404343