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1010020011012 = 223419164070827
BaseRepresentation
bin11101011001010011110…
…00100100110000000100
310120120001000211201120000
432230221320210300010
5113022010110323022
62051555150041300
7132654144304065
oct16545170446004
93516030751500
101010020011012
1135a38aa68531
121438b97a9230
137432417143c
1436c570d856c
151b4162786ac
hexeb29e24c04

1010020011012 has 60 divisors (see below), whose sum is σ = 2779359826320. Its totient is φ = 318953685744.

The previous prime is 1010020010999. The next prime is 1010020011037. The reversal of 1010020011012 is 2101100200101.

It is a happy number.

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 = 1010020010985 and 1010020011003.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 82029258 + ... + 82041569.

It is an arithmetic number, because the mean of its divisors is an integer number (46322663772).

Almost surely, 21010020011012 is an apocalyptic number.

1010020011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010020011012 is an abundant number, since it is smaller than the sum of its proper divisors (1769339815308).

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

1010020011012 is a wasteful number, since it uses less digits than its factorization.

1010020011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164070862 (or 164070851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010020011012 its reverse (2101100200101), we get a palindrome (3111120211113).

The spelling of 1010020011012 in words is "one trillion, ten billion, twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 164070827 328141654 492212481 656283308 984424962 1476637443 1968849924 2953274886 3117345713 4429912329 5906549772 6234691426 8859824658 9352037139 12469382852 13289736987 17719649316 18704074278 26579473974 28056111417 37408148556 53158947948 56112222834 84168334251 112224445668 168336668502 252505002753 336673337004 505010005506 1010020011012