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1020120221121 = 329173613110567
BaseRepresentation
bin11101101100000111110…
…01110100010111000001
310121112002221011120002220
432312003321310113001
5113203201234033441
62100345312401253
7133462346544561
oct16660371642701
93545087146086
101020120221121
113636a32a7911
12145858246229
1375273846c21
14375346a4da1
151b807d2d466
hexed83e745c1

1020120221121 has 32 divisors (see below), whose sum is σ = 1417517141760. Its totient is φ = 651762687744.

The previous prime is 1020120221083. The next prime is 1020120221143. The reversal of 1020120221121 is 1211220210201.

It is a de Polignac number, because none of the positive numbers 2k-1020120221121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020120221121.

It is not an unprimeable number, because it can be changed into a prime (1020120221321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9170980 + ... + 9281546.

It is an arithmetic number, because the mean of its divisors is an integer number (44297410680).

Almost surely, 21020120221121 is an apocalyptic number.

It is an amenable number.

1020120221121 is a deficient number, since it is larger than the sum of its proper divisors (397396920639).

1020120221121 is a wasteful number, since it uses less digits than its factorization.

1020120221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111385.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020120221121 its reverse (1211220210201), we get a palindrome (2231340431322).

The spelling of 1020120221121 in words is "one trillion, twenty billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 29 87 173 519 613 1839 5017 15051 17777 53331 106049 110567 318147 331701 3075421 3206443 9226263 9619329 19128091 57384273 67777571 203332713 554714639 1664143917 1965549559 5896648677 11725519783 35176559349 340040073707 1020120221121