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13323002220 = 223251117937591
BaseRepresentation
bin11000110100001110…
…01110000101101100
31021101111120122012200
430122013032011230
5204241142032340
610042010101500
7651104436033
oct143207160554
937344518180
1013323002220
11571753a840
1226b9a1a890
131344294588
1490560971a
1552e9a6330
hex31a1ce16c

13323002220 has 144 divisors (see below), whose sum is σ = 44334501120. Its totient is φ = 3211689600.

The previous prime is 13323002123. The next prime is 13323002227. The reversal of 13323002220 is 2220032331.

It is a happy number.

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 = 13323002193 and 13323002202.

It is not an unprimeable number, because it can be changed into a prime (13323002227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335625 + ... + 373215.

It is an arithmetic number, because the mean of its divisors is an integer number (307878480).

Almost surely, 213323002220 is an apocalyptic number.

13323002220 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 13323002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167250560).

13323002220 is an abundant number, since it is smaller than the sum of its proper divisors (31011498900).

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

13323002220 is a wasteful number, since it uses less digits than its factorization.

13323002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37796 (or 37791 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13323002220 its reverse (2220032331), we get a palindrome (15543034551).

The spelling of 13323002220 in words is "thirteen billion, three hundred twenty-three million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 179 180 198 220 330 358 396 495 537 660 716 895 990 1074 1611 1790 1969 1980 2148 2685 3222 3580 3938 5370 5907 6444 7876 8055 9845 10740 11814 16110 17721 19690 23628 29535 32220 35442 37591 39380 59070 70884 75182 88605 112773 118140 150364 177210 187955 225546 338319 354420 375910 413501 451092 563865 676638 751820 827002 1127730 1240503 1353276 1654004 1691595 2067505 2255460 2481006 3383190 3721509 4135010 4962012 6202515 6728789 6766380 7443018 8270020 12405030 13457578 14886036 18607545 20186367 24810060 26915156 33643945 37215090 40372734 60559101 67287890 74016679 74430180 80745468 100931835 121118202 134575780 148033358 201863670 222050037 242236404 296066716 302795505 370083395 403727340 444100074 605591010 666150111 740166790 888200148 1110250185 1211182020 1332300222 1480333580 2220500370 2664600444 3330750555 4441000740 6661501110 13323002220