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1020001101012 = 22339444454639
BaseRepresentation
bin11101101011111001100…
…11011010010011010100
310121111210122000122001000
432311330303122103110
5113202430240213022
62100325415303300
7133456402206615
oct16657463322324
93544718018030
101020001101012
11363642037143
1214582437ab30
1375254c6a65a
1437522937c0c
151b7ec64d6ac
hexed7ccda4d4

1020001101012 has 24 divisors (see below), whose sum is σ = 2644447299200. Its totient is φ = 340000366968.

The previous prime is 1020001100983. The next prime is 1020001101023. The reversal of 1020001101012 is 2101011000201.

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 = 1020001100985 and 1020001101003.

It is a congruent number.

It is an unprimeable number.

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, 4722227212 + ... + 4722227427.

Almost surely, 21020001101012 is an apocalyptic number.

1020001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020001101012 is an abundant number, since it is smaller than the sum of its proper divisors (1624446198188).

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

1020001101012 is a wasteful number, since it uses less digits than its factorization.

1020001101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444454652 (or 9444454644 counting only the distinct ones).

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

Adding to 1020001101012 its reverse (2101011000201), we get a palindrome (3121012101213).

The spelling of 1020001101012 in words is "one trillion, twenty billion, one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9444454639 18888909278 28333363917 37777818556 56666727834 85000091751 113333455668 170000183502 255000275253 340000367004 510000550506 1020001101012