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1012112101 = 721113241271
BaseRepresentation
bin111100010100111…
…001101011100101
32121112110121210101
4330110321223211
54033100041401
6244233024101
734036545100
oct7424715345
92545417711
101012112101
1147a346890
12242b55031
131318bb200
14985c1737
155dcc5101
hex3c539ae5

1012112101 has 72 divisors (see below), whose sum is σ = 1429964928. Its totient is φ = 707616000.

The previous prime is 1012112099. The next prime is 1012112141.

1012112101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012112101 - 21 = 1012112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3734596 + ... + 3734866.

It is an arithmetic number, because the mean of its divisors is an integer number (19860624).

Almost surely, 21012112101 is an apocalyptic number.

1012112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012112101 is a deficient number, since it is larger than the sum of its proper divisors (417852827).

1012112101 is a wasteful number, since it uses less digits than its factorization.

1012112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1012112101 is about 31813.7093247549. The cubic root of 1012112101 is about 1004.0211754739.

It can be divided in two parts, 10121 and 12101, that multiplied together give a palindrome (122474221).

The spelling of 1012112101 in words is "one billion, twelve million, one hundred twelve thousand, one hundred one".

Divisors: 1 7 11 13 41 49 77 91 143 169 271 287 451 533 539 637 1001 1183 1859 1897 2009 2981 3157 3523 3731 5863 6929 7007 8281 11111 13013 13279 20867 22099 24661 26117 38753 41041 45799 48503 76219 77777 91091 122221 144443 146069 172627 271271 287287 320593 339521 503789 533533 544439 855547 1011101 1588873 1877759 1898897 2244151 3526523 3734731 5988829 7077707 11122111 13144313 20655349 24685661 77854777 92010191 144587443 1012112101