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10313223223121 = 72134710110333113
BaseRepresentation
bin1001011000010011110000…
…0000011011011101010001
31100111221020020222121120222
42112010330000123131101
52322432440121114441
633533455045442425
72113051166663600
oct226047400333521
940457206877528
1010313223223121
1133168a470a595
1211a6931710415
1359a6c06845c0
1427923c505a37
1512d40d448d4b
hex9613c01b751

10313223223121 has 96 divisors (see below), whose sum is σ = 13455172942848. Its totient is φ = 7830219801600.

The previous prime is 10313223223109. The next prime is 10313223223133. The reversal of 10313223223121 is 12132232231301.

It is an interprime number because it is at equal distance from previous prime (10313223223109) and next prime (10313223223133).

It is a de Polignac number, because none of the positive numbers 2k-10313223223121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10313223223151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311438861 + ... + 311471973.

It is an arithmetic number, because the mean of its divisors is an integer number (140158051488).

Almost surely, 210313223223121 is an apocalyptic number.

It is an amenable number.

10313223223121 is a deficient number, since it is larger than the sum of its proper divisors (3141949719727).

10313223223121 is a wasteful number, since it uses less digits than its factorization.

10313223223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33391 (or 33384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10313223223121 its reverse (12132232231301), we get a palindrome (22445455454422).

The spelling of 10313223223121 in words is "ten trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 13 47 49 91 101 103 329 611 637 707 721 1313 1339 2303 4277 4747 4841 4949 5047 9191 9373 10403 29939 33113 33229 33887 61711 62933 64337 65611 72821 135239 231791 232603 237209 430469 431977 440531 488941 509747 946673 1556311 1622537 3013283 3023839 3083717 3344413 3410639 3422587 6356233 6626711 10894177 20232043 21092981 23410891 23874473 23958109 43477369 44338307 44493631 76259239 141624301 157187411 160300033 163876237 167121311 304341583 310368149 311455417 344474539 991370107 1100311877 1122100231 2043436343 2083900429 2130391081 2172577043 2411321773 4478169007 7702183139 7854701617 14304054401 14587303003 16190303333 16879252411 31347183049 100128380807 102111121021 113332123331 210473943329 219430281343 793324863317 1473317603303 10313223223121