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101011010111012 = 22409312119782977
BaseRepresentation
bin10110111101111001110101…
…011000000100011000100100
3111020122120001222012112201002
4112331321311120010120210
5101214431022042023022
6554455452322052432
730163542665245301
oct2675716530043044
9436576058175632
10101011010111012
112a20458a946471
12b3b473aaaa118
1344493b3469371
141ad2d5d5dc0a8
15ba27dc921092
hex5bde75604624

101011010111012 has 24 divisors (see below), whose sum is σ = 177258252496920. Its totient is φ = 50365874257920.

The previous prime is 101011010110973. The next prime is 101011010111017. The reversal of 101011010111012 is 210111010110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17132777958976 + 83878232152036 = 4139176^2 + 9158506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101011010110984 and 101011010111002.

It is not an unprimeable number, because it can be changed into a prime (101011010111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4785533 + ... + 14997444.

It is an arithmetic number, because the mean of its divisors is an integer number (7385760520705).

Almost surely, 2101011010111012 is an apocalyptic number.

It is an amenable number.

101011010111012 is a deficient number, since it is larger than the sum of its proper divisors (76247242385908).

101011010111012 is a wasteful number, since it uses less digits than its factorization.

101011010111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19786511 (or 19786509 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011010111012 its reverse (210111010110101), we get a palindrome (311122020221113).

The spelling of 101011010111012 in words is "one hundred one trillion, eleven billion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 409 818 1636 3121 6242 12484 1276489 2552978 5105956 19782977 39565954 79131908 8091237593 16182475186 32364950372 61742671217 123485342434 246970684868 25252752527753 50505505055506 101011010111012