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1031122211220 = 223255728456729
BaseRepresentation
bin11110000000100111010…
…11000101000110010100
310122120111200100120020200
433000103223011012110
5113343214241224340
62105405131300500
7134332112116503
oct17002353050624
93576450316220
101031122211220
11368329674912
12147a088aa730
1376307cba33a
1437c9993283a
151bc4db62330
hexf013ac5194

1031122211220 has 36 divisors (see below), whose sum is σ = 3127737374580. Its totient is φ = 274965922944.

The previous prime is 1031122211179. The next prime is 1031122211237. The reversal of 1031122211220 is 221122211301.

1031122211220 is a `hidden beast` number, since 1 + 0 + 311 + 222 + 112 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 643698126864 + 387424084356 = 802308^2 + 622434^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1031122211193 and 1031122211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864228185 + ... + 2864228544.

Almost surely, 21031122211220 is an apocalyptic number.

1031122211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031122211220 is an abundant number, since it is smaller than the sum of its proper divisors (2096615163360).

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

1031122211220 is a wasteful number, since it uses less digits than its factorization.

1031122211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728456744 (or 5728456739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1031122211220 its reverse (221122211301), we get a palindrome (1252244422521).

The spelling of 1031122211220 in words is "one trillion, thirty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5728456729 11456913458 17185370187 22913826916 28642283645 34370740374 51556110561 57284567290 68741480748 85926850935 103112221122 114569134580 171853701870 206224442244 257780552805 343707403740 515561105610 1031122211220