Search a number
-
+
13221200200032 = 25321137112793477
BaseRepresentation
bin1100000001100100110011…
…1100010000000101100000
31201210221020011200221221200
43000121030330100011200
53213104004222400112
644041422512321200
72533125444312636
oct300311474200540
951727204627850
1013221200200032
114238096922a70
121596435243200
1374b9a5216746
14339ca3971356
1517dda8e01cdc
hexc064cf10160

13221200200032 has 144 divisors (see below), whose sum is σ = 42124303467792. Its totient is φ = 3898142530560.

The previous prime is 13221200200027. The next prime is 13221200200051. The reversal of 13221200200032 is 23000200212231.

13221200200032 is a `hidden beast` number, since 13 + 221 + 200 + 200 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 13221200199978 and 13221200200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56279523 + ... + 56513954.

It is an arithmetic number, because the mean of its divisors is an integer number (292529885193).

Almost surely, 213221200200032 is an apocalyptic number.

13221200200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221200200032 is an abundant number, since it is smaller than the sum of its proper divisors (28903103267760).

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

13221200200032 is a wasteful number, since it uses less digits than its factorization.

13221200200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112793541 (or 112793530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13221200200032 its reverse (23000200212231), we get a palindrome (36221400412263).

The spelling of 13221200200032 in words is "thirteen trillion, two hundred twenty-one billion, two hundred million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 29304 39072 58608 117216 112793477 225586954 338380431 451173908 676760862 902347816 1015141293 1240728247 1353521724 1804695632 2030282586 2481456494 2707043448 3609391264 3722184741 4060565172 4173358649 4962912988 5414086896 7444369482 8121130344 8346717298 9925825976 10828173792 11166554223 12520075947 14888738964 16242260688 16693434596 19851651952 22333108446 25040151894 29777477928 32484521376 33386869192 37560227841 39703303904 44666216892 45906945139 50080303788 59554955856 66773738384 75120455682 89332433784 91813890278 100160607576 119109911712 133547476768 137720835417 150240911364 178664867568 183627780556 200321215152 275441670834 300481822728 357329735136 367255561112 400642430304 413162506251 550883341668 600963645456 734511122224 826325012502 1101766683336 1201927290912 1469022244448 1652650025004 2203533366672 3305300050008 4407066733344 6610600100016 13221200200032