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13023322210320 = 2435372707541777
BaseRepresentation
bin1011110110000011101001…
…1111101000000000010000
31201010000110201100120022220
42331200322133220000100
53201333230441212240
643410455344301040
72512622031203562
oct275407237500020
951100421316286
1013023322210320
114171183963584
121564010311780
1373612b720876
14330491629332
15178b76de15d0
hexbd83a7e8010

13023322210320 has 160 divisors (see below), whose sum is σ = 41478835744128. Its totient is φ = 3377769652224.

The previous prime is 13023322210229. The next prime is 13023322210333. The reversal of 13023322210320 is 2301222332031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 23767272 + ... + 24309048.

Almost surely, 213023322210320 is an apocalyptic number.

13023322210320 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 13023322210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739417872064).

13023322210320 is an abundant number, since it is smaller than the sum of its proper divisors (28455513533808).

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

13023322210320 is a wasteful number, since it uses less digits than its factorization.

13023322210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544537 (or 544531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13023322210320 its reverse (2301222332031), we get a palindrome (15324544542351).

The spelling of 13023322210320 in words is "thirteen trillion, twenty-three billion, three hundred twenty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2707 2960 4440 5414 8121 8880 10828 13535 16242 21656 27070 32484 40605 43312 54140 64968 81210 100159 108280 129936 162420 200318 216560 300477 324840 400636 500795 541777 600954 649680 801272 1001590 1083554 1201908 1502385 1602544 1625331 2003180 2167108 2403816 2708885 3004770 3250662 4006360 4334216 4807632 5417770 6009540 6501324 8012720 8126655 8668432 10835540 12019080 13002648 16253310 20045749 21671080 24038160 26005296 32506620 40091498 43342160 60137247 65013240 80182996 100228745 120274494 130026480 160365992 200457490 240548988 300686235 320731984 400914980 481097976 601372470 801829960 962195952 1202744940 1466590339 1603659920 2405489880 2933180678 4399771017 4810979760 5866361356 7332951695 8799542034 11732722712 14665903390 17599084068 21998855085 23465445424 29331806780 35198168136 43997710170 54263842543 58663613560 70396336272 87995420340 108527685086 117327227120 162791527629 175990840680 217055370172 271319212715 325583055258 351981681360 434110740344 542638425430 651166110516 813957638145 868221480688 1085276850860 1302332221032 1627915276290 2170553701720 2604664442064 3255830552580 4341107403440 6511661105160 13023322210320