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101101101012 = 223223122102779
BaseRepresentation
bin101111000101000011…
…0000101111111010100
3100122221220120001212200
41132022012011333110
53124023340213022
6114240055244500
710206244115352
oct1361206057724
9318856501780
10101101101012
1139970a3263a
1217716679730
1396c29875c2
144c713a87d2
15296ac3bbac
hex178a185fd4

101101101012 has 36 divisors (see below), whose sum is σ = 266672471520. Its totient is φ = 32235133392.

The previous prime is 101101101011. The next prime is 101101101037. The reversal of 101101101012 is 210101101101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 101101100985 and 101101101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61050562 + ... + 61052217.

Almost surely, 2101101101012 is an apocalyptic number.

101101101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101101012 is an abundant number, since it is smaller than the sum of its proper divisors (165571370508).

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

101101101012 is a wasteful number, since it uses less digits than its factorization.

101101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122102812 (or 122102807 counting only the distinct ones).

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

Adding to 101101101012 its reverse (210101101101), we get a palindrome (311202202113).

The spelling of 101101101012 in words is "one hundred one billion, one hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 122102779 244205558 366308337 488411116 732616674 1098925011 1465233348 2197850022 2808363917 4395700044 5616727834 8425091751 11233455668 16850183502 25275275253 33700367004 50550550506 101101101012