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1102201332320 = 255112556910223
BaseRepresentation
bin10000000010100000010…
…100011010001001100000
310220100222022021000222102
4100002200110122021200
5121024302020113240
62202202211425532
7142426401513014
oct20024024321140
93810868230872
101102201332320
11395493a10600
12159744bb52a8
137cc24b8518a
143b4bd9b0544
151da0dd82815
hex100a051a260

1102201332320 has 144 divisors (see below), whose sum is σ = 2862987664320. Its totient is φ = 400689315840.

The previous prime is 1102201332307. The next prime is 1102201332329. The reversal of 1102201332320 is 232331022011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1102201332292 and 1102201332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102201332329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107810729 + ... + 107820951.

It is an arithmetic number, because the mean of its divisors is an integer number (19881858780).

Almost surely, 21102201332320 is an apocalyptic number.

1102201332320 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 1102201332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431493832160).

1102201332320 is an abundant number, since it is smaller than the sum of its proper divisors (1760786332000).

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

1102201332320 is a wasteful number, since it uses less digits than its factorization.

1102201332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1102201332320 its reverse (232331022011), we get a palindrome (1334532354331).

The spelling of 1102201332320 in words is "one trillion, one hundred two billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 5569 9680 10223 11138 19360 20446 22276 27845 40892 44552 51115 55690 61259 81784 89104 102230 111380 112453 122518 163568 178208 204460 222760 224906 245036 306295 327136 408920 445520 449812 490072 562265 612590 673849 817840 891040 899624 980144 1124530 1225180 1236983 1347698 1635680 1799248 1960288 2249060 2450360 2473966 2695396 3369245 3598496 4498120 4900720 4947932 5390792 6184915 6738490 8996240 9801440 9895864 10781584 12369830 13476980 17992480 19791728 21563168 24739660 26953960 39583456 49479320 53907920 56931887 98958640 107815840 113863774 197917280 227727548 284659435 455455096 569318870 626250757 910910192 1138637740 1252501514 1821820384 2277275480 2505003028 3131253785 4554550960 5010006056 6262507570 6888758327 9109101920 10020012112 12525015140 13777516654 20040024224 25050030280 27555033308 34443791635 50100060560 55110066616 68887583270 100200121120 110220133232 137775166540 220440266464 275550333080 551100666160 1102201332320