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1322220013100 = 2252721084724877
BaseRepresentation
bin10011001111011010011…
…101000100011000101100
311200101212210020001221022
4103033122131010120230
5133130401310404400
62451230335353312
7164345562446600
oct23173235043054
94611783201838
101322220013100
1146a8287aa988
12194308982838
13978b96bca9c
1447dd263b500
15245d9a12b85
hex133da74462c

1322220013100 has 108 divisors (see below), whose sum is σ = 3338102972736. Its totient is φ = 453272561280.

The previous prime is 1322220013099. The next prime is 1322220013129. The reversal of 1322220013100 is 13100222231.

It is a super-2 number, since 2×13222200131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53137862 + ... + 53162738.

Almost surely, 21322220013100 is an apocalyptic number.

1322220013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322220013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669051486368).

1322220013100 is an abundant number, since it is smaller than the sum of its proper divisors (2015882959636).

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

1322220013100 is a wasteful number, since it uses less digits than its factorization.

1322220013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35752 (or 35738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1322220013100 its reverse (13100222231), we get a palindrome (1335320235331).

The spelling of 1322220013100 in words is "one trillion, three hundred twenty-two billion, two hundred twenty million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 10847 21694 24877 43388 49754 54235 75929 99508 108470 124385 151858 174139 216940 248770 271175 303716 348278 379645 497540 531503 542350 621925 696556 759290 870695 1063006 1084700 1218973 1243850 1518580 1741390 1898225 2126012 2437946 2487700 2657515 3482780 3796450 4353475 4875892 5315030 6094865 7592900 8706950 10630060 12189730 13287575 17413900 24379460 26575150 30474325 53150300 60948650 121897300 269840819 539681638 1079363276 1349204095 1888885733 2698408190 3777771466 5396816380 6746020475 7555542932 9444428665 13222200131 13492040950 18888857330 26444400262 26984081900 37777714660 47222143325 52888800524 66111000655 94444286650 132222001310 188888573300 264444002620 330555003275 661110006550 1322220013100