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102113131443033 = 3192972131745599
BaseRepresentation
bin10111001101111100010000…
…111011010011001101011001
3111101112220211200221010220110
4113031330100323103031121
5101341010143122134113
61001102042555114533
730336300406064304
oct2715742073231531
9441486750833813
10102113131443033
112a599a32685617
12b552261142a49
1344c92c4890c89
141b30432705b3b
15bc12e474ebc3
hex5cdf10ed3359

102113131443033 has 48 divisors (see below), whose sum is σ = 145185198681600. Its totient is φ = 63823238986752.

The previous prime is 102113131443007. The next prime is 102113131443067. The reversal of 102113131443033 is 330344131311201.

It is a happy number.

It is not a de Polignac number, because 102113131443033 - 213 = 102113131434841 is a prime.

It is a super-2 number, since 2×1021131314430332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102113131443833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239349368 + ... + 2239394966.

It is an arithmetic number, because the mean of its divisors is an integer number (3024691639200).

Almost surely, 2102113131443033 is an apocalyptic number.

It is an amenable number.

102113131443033 is a deficient number, since it is larger than the sum of its proper divisors (43072067238567).

102113131443033 is a wasteful number, since it uses less digits than its factorization.

102113131443033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67054 (or 67035 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 102113131443033 its reverse (330344131311201), we get a palindrome (432457262754234).

The spelling of 102113131443033 in words is "one hundred two trillion, one hundred thirteen billion, one hundred thirty-one million, four hundred forty-three thousand, thirty-three".

Divisors: 1 3 19 57 97 291 361 1083 1843 5529 21317 35017 45599 63951 105051 136797 405023 866381 1215069 2067749 2599143 4423103 6203247 7695437 13269309 16461239 23086311 39287231 49383717 84038957 117861693 252116871 746457389 972033883 1596740183 2239372167 2916101649 4790220549 18468643777 55405931331 94287286651 282861859953 350904231763 1052712695289 1791458446369 5374375339107 34037710481011 102113131443033