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1010101012011 = 337132937091979
BaseRepresentation
bin11101011001011101011…
…01100100011000101011
310120120020200021000001000
432230232231210120223
5113022141324341021
62052011202130043
7132656146636440
oct16545655443053
93516220230030
101010101012011
1135a421762803
12143920950923
1374337b92320
1436c63b819c7
151b41d428b26
hexeb2eb6462b

1010101012011 has 128 divisors (see below), whose sum is σ = 1851607296000. Its totient is φ = 529965255168.

The previous prime is 1010101012001. The next prime is 1010101012057. The reversal of 1010101012011 is 1102101010101.

It is not a de Polignac number, because 1010101012011 - 27 = 1010101011883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010101011984 and 1010101012002.

It is not an unprimeable number, because it can be changed into a prime (1010101012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510408820 + ... + 510410798.

It is an arithmetic number, because the mean of its divisors is an integer number (14465682000).

Almost surely, 21010101012011 is an apocalyptic number.

1010101012011 is a deficient number, since it is larger than the sum of its proper divisors (841506283989).

1010101012011 is a wasteful number, since it uses less digits than its factorization.

1010101012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010101012011 its reverse (1102101010101), we get a palindrome (2112202022112).

The spelling of 1010101012011 in words is "one trillion, ten billion, one hundred one million, twelve thousand, eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 293 351 709 819 879 1979 2051 2127 2457 2637 3809 4963 5937 6153 6381 7911 9217 11427 13853 14889 17811 18459 19143 25727 26663 27651 34281 41559 44667 53433 55377 64519 77181 79989 82953 102843 124677 134001 180089 193557 207737 231543 239967 248859 374031 540267 579847 580671 623211 694629 719901 1403111 1454159 1620801 1739541 1742013 1869633 2700581 4058929 4209333 4362477 4862403 5218623 5608899 7538011 8101743 9821777 12176787 12627999 13087431 15655869 18240443 18904067 22614033 24305229 29465331 36530361 37883997 39262293 52766077 54721329 56712201 67842099 72915687 88395993 109591083 127683101 158298231 164163987 170136603 203526297 265187979 383049303 411111523 474894693 492491961 510409809 1149147909 1233334569 1424684079 2877780661 3447443727 3700003707 5344449799 8633341983 11100011121 16033349397 25900025949 37411148593 48100048191 77700077847 112233445779 144300144573 336700337337 1010101012011