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102011310030231 = 327109263317178183
BaseRepresentation
bin10111001100011101011011…
…111001011011110110010111
3111101012012000120222110000100
4113030131123321123312113
5101332323130331431411
61000543203204545143
730326034234256350
oct2714353371336627
9441165016873010
10102011310030231
112a55a8320a0088
12b5365853b21b3
1344bc818904ca4
141b295337d6d27
15bbd83567c456
hex5cc75be5bd97

102011310030231 has 96 divisors (see below), whose sum is σ = 171129852241920. Its totient is φ = 57355947631872.

The previous prime is 102011310030101. The next prime is 102011310030233. The reversal of 102011310030231 is 132030013110201.

102011310030231 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 1 + 310 + 0 + 302 + 31 = 666.

It is not a de Polignac number, because 102011310030231 - 211 = 102011310028183 is a prime.

It is a super-2 number, since 2×1020113100302312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011310030233) 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, 572419566 + ... + 572597748.

It is an arithmetic number, because the mean of its divisors is an integer number (1782602627520).

Almost surely, 2102011310030231 is an apocalyptic number.

102011310030231 is a deficient number, since it is larger than the sum of its proper divisors (69118542211689).

102011310030231 is a wasteful number, since it uses less digits than its factorization.

102011310030231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178885 (or 178882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102011310030231 its reverse (132030013110201), we get a palindrome (234041323140432).

The spelling of 102011310030231 in words is "one hundred two trillion, eleven billion, three hundred ten million, thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 109 263 317 327 763 789 951 981 1841 2219 2289 2367 2853 5523 6657 6867 16569 19971 28667 34553 83371 86001 103659 178183 200669 241871 250113 258003 310977 534549 583597 602007 725613 750339 1247281 1603647 1750791 1806021 2176839 3741843 5252373 9087439 11225529 19421947 27262317 46862129 56484011 58265841 63612073 81786951 135953629 140586387 169452033 174797523 190836219 328034903 395388077 407860887 421759161 508356099 572508657 984104709 1186164231 1223582661 2952314127 3558492693 5107972061 6156757199 14855294893 15323916183 18470271597 35755804427 43097300393 44565884679 45971748549 55410814791 103987064251 107267413281 129291901179 133697654037 311961192753 321802239843 387875703537 935883578259 1619227143337 4857681430011 11334590003359 14573044290033 34003770010077 102011310030231