Search a number
-
+
101101110099966 = 2341327094702627
BaseRepresentation
bin10110111111001101101111…
…110000001111111111111110
3111020222011122012020012220000
4112333031233300033333332
5101222420033141144331
6555005113033335130
730203212520436654
oct2677155760177776
9436864565205800
10101101110099966
112a239815a50759
12b40a0a52674a6
134454a41bca0b2
141ad74698c6dd4
15ba4d1294e0e6
hex5bf36fc0fffe

101101110099966 has 40 divisors (see below), whose sum is σ = 226543131562440. Its totient is φ = 33700108925232.

The previous prime is 101101110099961. The next prime is 101101110100007. The reversal of 101101110099966 is 669990011101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110099961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19147545 + ... + 23850171.

It is an arithmetic number, because the mean of its divisors is an integer number (5663578289061).

Almost surely, 2101101110099966 is an apocalyptic number.

101101110099966 is an abundant number, since it is smaller than the sum of its proper divisors (125442021462474).

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

101101110099966 is a wasteful number, since it uses less digits than its factorization.

101101110099966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835350 (or 4835341 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 45.

The spelling of 101101110099966 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 132709 265418 398127 796254 1194381 2388762 3583143 4702627 7166286 9405254 10749429 14107881 21498858 28215762 42323643 84647286 126970929 253941858 380912787 761825574 624080926543 1248161853086 1872242779629 3744485559258 5616728338887 11233456677774 16850185016661 33700370033322 50550555049983 101101110099966