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10101111011142 = 2329317940995783
BaseRepresentation
bin1001001011111101100100…
…1000100011011101000110
31022202122201210102210211220
42102333121020203131012
52310444033404324032
633252215240541210
72061531642636324
oct222773110433506
938678653383756
1010101111011142
113244947915248
1211717b5781806
135836b8ba27b8
1426cc79956d14
15127b4698b12c
hex92fd9223746

10101111011142 has 128 divisors (see below), whose sum is σ = 21855191040000. Its totient is φ = 3104945101440.

The previous prime is 10101111011011. The next prime is 10101111011143. The reversal of 10101111011142 is 24111011110101.

10101111011142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111011143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1746687583 + ... + 1746693365.

It is an arithmetic number, because the mean of its divisors is an integer number (170743680000).

Almost surely, 210101111011142 is an apocalyptic number.

10101111011142 is an abundant number, since it is smaller than the sum of its proper divisors (11754080028858).

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

10101111011142 is a wasteful number, since it uses less digits than its factorization.

10101111011142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10101111011142 its reverse (24111011110101), we get a palindrome (34212122121243).

The spelling of 10101111011142 in words is "ten trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 29 31 58 62 79 87 93 158 174 186 237 474 899 1798 2291 2449 2697 4099 4582 4898 5394 5783 6873 7347 8198 11566 12297 13746 14694 17349 24594 34698 71021 118871 127069 142042 167707 179273 213063 237742 254138 323821 335414 356613 358546 381207 426126 456857 503121 537819 647642 713226 762414 913714 971463 1006242 1075638 1370571 1942926 2741142 3685001 5198917 7370002 9390809 10038451 10397834 11055003 13248853 14162567 15596751 18781618 20076902 22110006 23704517 26497706 28172427 28325134 30115353 31193502 39746559 42487701 47409034 56344854 60230706 71113551 79493118 84975402 142227102 291115079 410714443 582230158 687430993 734840027 821428886 873345237 1232143329 1374861986 1469680054 1746690474 1872656843 2062292979 2204520081 2464286658 3745313686 4124585958 4409040162 5617970529 11235941058 21310360783 42620721566 54307048447 58052362133 63931082349 108614096894 116104724266 127862164698 162921145341 174157086399 325842290682 348314172798 1683518501857 3367037003714 5050555505571 10101111011142