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2221131032032 = 251146731350317
BaseRepresentation
bin100000010100100101101…
…110011110010111100000
321212100010102220011222111
4200110211232132113200
5242342334021011112
64420212402245104
7316320461156323
oct40244556362740
97770112804874
102221131032032
11786a81621120
122ba578356794
131315b46857a3
14797091527ba
153cb9b6335a7
hex20525b9e5e0

2221131032032 has 48 divisors (see below), whose sum is σ = 4771408066992. Its totient is φ = 1009388216320.

The previous prime is 2221131032017. The next prime is 2221131032059. The reversal of 2221131032032 is 2302301311222.

It is a super-3 number, since 3×22211310320323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2221131031994 and 2221131032012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 969738 + ... + 2320054.

It is an arithmetic number, because the mean of its divisors is an integer number (99404334729).

Almost surely, 22221131032032 is an apocalyptic number.

2221131032032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2221131032032 is an abundant number, since it is smaller than the sum of its proper divisors (2550277034960).

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

2221131032032 is a wasteful number, since it uses less digits than its factorization.

2221131032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355011 (or 1355003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2221131032032 its reverse (2302301311222), we get a palindrome (4523432343254).

The spelling of 2221131032032 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 4673 9346 18692 37384 51403 74768 102806 149536 205612 411224 822448 1350317 1644896 2700634 5401268 10802536 14853487 21605072 29706974 43210144 59413948 118827896 237655792 475311584 6310031341 12620062682 25240125364 50480250728 69410344751 100960501456 138820689502 201921002912 277641379004 555282758008 1110565516016 2221131032032