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101313133201302 = 231119723988336923
BaseRepresentation
bin10111000010010011001101…
…010100001100011110010110
3111021201102220110002201210220
4113002103031110030132112
5101234403244044420202
6555250335540255210
730224426613164361
oct2702231524143626
9437642813081726
10101313133201302
112a310727511940
12b4431b73a1506
13446ba310ab9c9
141b038206bb0d8
15baa5c16a8abc
hex5c24cd50c796

101313133201302 has 128 divisors (see below), whose sum is σ = 223357186990080. Its totient is φ = 30382032723840.

The previous prime is 101313133201261. The next prime is 101313133201349. The reversal of 101313133201302 is 203102331313101.

101313133201302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2743884613 + ... + 2743921535.

It is an arithmetic number, because the mean of its divisors is an integer number (1744978023360).

Almost surely, 2101313133201302 is an apocalyptic number.

101313133201302 is an abundant number, since it is smaller than the sum of its proper divisors (122044053788778).

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

101313133201302 is a wasteful number, since it uses less digits than its factorization.

101313133201302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38258.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101313133201302 its reverse (203102331313101), we get a palindrome (304415464514403).

The spelling of 101313133201302 in words is "one hundred one trillion, three hundred thirteen billion, one hundred thirty-three million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 197 239 394 478 591 717 883 1182 1434 1766 2167 2629 2649 4334 5258 5298 6501 7887 9713 13002 15774 19426 29139 36923 47083 58278 73846 94166 110769 141249 173951 211037 221538 282498 347902 406153 422074 517913 521853 633111 812306 1035826 1043706 1218459 1266222 1553739 1913461 2321407 2436918 3107478 3826922 4642814 5740383 6964221 7273831 8824597 11480766 13928442 14547662 17649194 21821493 26473791 32603009 41574289 43642986 52947582 65206018 80012141 83148578 97070567 97809027 124722867 160024282 194141134 195618054 240036423 249445734 291211701 358633099 457317179 480072846 582423402 717266198 914634358 1075899297 1371951537 1738445609 2151798594 2743903074 3476891218 5215336827 6422792773 7792119151 10430673654 12845585546 15584238302 19122901699 19268378319 23376357453 38245803398 38536756638 46752714906 57368705097 70650720503 85713310661 114737410194 141301441006 171426621322 211952161509 257139931983 423904323018 514279863966 1535047472747 3070094945494 4605142418241 9210284836482 16885522200217 33771044400434 50656566600651 101313133201302