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1010200011012 = 223280173500201
BaseRepresentation
bin11101011001101001001…
…11001110000100000100
310120120111120112200010200
432230310213032010010
5113022342200323022
62052025100050500
7132661461262323
oct16546447160404
93516446480120
101010200011012
1135a472630165
12143949b33a30
137435254530a
1436c72d920ba
151b426e81bac
hexeb349ce104

1010200011012 has 36 divisors (see below), whose sum is σ = 2553880386876. Its totient is φ = 336691238400.

The previous prime is 1010200011011. The next prime is 1010200011017. The reversal of 1010200011012 is 2101100020101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 446790643776 + 563409367236 = 668424^2 + 750606^2 .

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 = 1010200010985 and 1010200011003.

It is not an unprimeable number, because it can be changed into a prime (1010200011011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1461489 + ... + 2038712.

Almost surely, 21010200011012 is an apocalyptic number.

1010200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010200011012 is an abundant number, since it is smaller than the sum of its proper divisors (1543680375864).

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

1010200011012 is a wasteful number, since it uses less digits than its factorization.

1010200011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508228 (or 3508223 counting only the distinct ones).

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

Adding to 1010200011012 its reverse (2101100020101), we get a palindrome (3111300031113).

The spelling of 1010200011012 in words is "one trillion, ten billion, two hundred million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8017 16034 24051 32068 48102 72153 96204 144306 288612 3500201 7000402 10500603 14000804 21001206 31501809 42002412 63003618 126007236 28061111417 56122222834 84183334251 112244445668 168366668502 252550002753 336733337004 505100005506 1010200011012