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1000101120012 = 223231896147957
BaseRepresentation
bin11101000110110101010…
…11000000100000001100
310112121102202200212001200
432203122223000200030
5112341201341320022
62043235021505500
7132153303154401
oct16433253004014
93477382625050
101000101120012
11356160011955
121419aba12290
1373403212077
1436595a4a2a8
151b03558cbac
hexe8daac080c

1000101120012 has 36 divisors (see below), whose sum is σ = 2609582853696. Its totient is φ = 322613264160.

The previous prime is 1000101119989. The next prime is 1000101120017. The reversal of 1000101120012 is 2100211010001.

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 = 1000101119976 and 1000101120003.

It is not an unprimeable number, because it can be changed into a prime (1000101120017) 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, 448072863 + ... + 448075094.

Almost surely, 21000101120012 is an apocalyptic number.

1000101120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101120012 is an abundant number, since it is smaller than the sum of its proper divisors (1609481733684).

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

1000101120012 is a wasteful number, since it uses less digits than its factorization.

1000101120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896147998 (or 896147993 counting only the distinct ones).

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

Adding to 1000101120012 its reverse (2100211010001), we get a palindrome (3100312130013).

The spelling of 1000101120012 in words is "one trillion, one hundred one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 896147957 1792295914 2688443871 3584591828 5376887742 8065331613 10753775484 16130663226 27780586667 32261326452 55561173334 83341760001 111122346668 166683520002 250025280003 333367040004 500050560006 1000101120012