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1012011000012 = 2232166331690099
BaseRepresentation
bin11101011101000001000…
…11100110000011001100
310120202011210020110000100
432232200203212003030
5113040044304000022
62052524511531100
7133054401365535
oct16564043460314
93522153213010
101012011000012
1136021190aa91
12144174529a90
13745807b213c
1436da56c968c
151b4d0e5b1ac
hexeba08e60cc

1012011000012 has 36 divisors (see below), whose sum is σ = 2558294229400. Its totient is φ = 337316519232.

The previous prime is 1012010999969. The next prime is 1012011000019. The reversal of 1012011000012 is 2100001102101.

It is a happy number.

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 = 1012010999958 and 1012011000003.

It is not an unprimeable number, because it can be changed into a prime (1012011000019) 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, 246262 + ... + 1443837.

Almost surely, 21012011000012 is an apocalyptic number.

1012011000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012011000012 is an abundant number, since it is smaller than the sum of its proper divisors (1546283229388).

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

1012011000012 is a wasteful number, since it uses less digits than its factorization.

1012011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706742 (or 1706737 counting only the distinct ones).

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

Adding to 1012011000012 its reverse (2100001102101), we get a palindrome (3112012102113).

The spelling of 1012011000012 in words is "one trillion, twelve billion, eleven million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36 16633 33266 49899 66532 99798 149697 199596 299394 598788 1690099 3380198 5070297 6760396 10140594 15210891 20281188 30421782 60843564 28111416667 56222833334 84334250001 112445666668 168668500002 253002750003 337337000004 506005500006 1012011000012