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1200101000021 = 71179354755621
BaseRepresentation
bin10001011101101011100…
…110000000001101010101
311020201200002202102221222
4101131223212000031111
5124130301324000041
62315152505220125
7152463423121520
oct21355346001525
94221602672858
101200101000021
11422a61800990
12174707491645
13892274bb731
1442129ad9bb7
152133d9db74b
hex1176b980355

1200101000021 has 32 divisors (see below), whose sum is σ = 1515623854080. Its totient is φ = 923029473600.

The previous prime is 1200100999991. The next prime is 1200101000023. The reversal of 1200101000021 is 1200001010021.

It is a cyclic number.

It is not a de Polignac number, because 1200101000021 - 230 = 1199027258197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1200100999972 and 1200101000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200101000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21548591 + ... + 21604211.

It is an arithmetic number, because the mean of its divisors is an integer number (47363245440).

Almost surely, 21200101000021 is an apocalyptic number.

1200101000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200101000021 is a deficient number, since it is larger than the sum of its proper divisors (315522854059).

1200101000021 is a wasteful number, since it uses less digits than its factorization.

1200101000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59265.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1200101000021 its reverse (1200001010021), we get a palindrome (2400102010042).

It can be divided in two parts, 12001010000 and 21, that added together give a palindrome (12001010021).

The spelling of 1200101000021 in words is "one trillion, two hundred billion, one hundred one million, twenty-one", and thus it is an aban number.

Divisors: 1 7 11 77 79 553 869 3547 6083 24829 39017 55621 273119 280213 389347 611831 1961491 3082343 4282817 4394059 21576401 30758413 48334649 197287687 338342543 1381013809 2170164557 15191151899 15585727273 109100090911 171443000003 1200101000021