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132223111310460 = 22353673964362219
BaseRepresentation
bin11110000100000110010111…
…100101001010110001111100
3122100011101221222011001001210
4132010012113211022301330
5114312320412443413320
61145114243032404420
736564542650103442
oct3604062745126174
9570141858131053
10132223111310460
1139148563315895
12129b5884546710
1358a178029b551
1424918c0314b92
15104465e9960e0
hex78419794ac7c

132223111310460 has 96 divisors (see below), whose sum is σ = 370369864085760. Its totient is φ = 35245674726912.

The previous prime is 132223111310431. The next prime is 132223111310467. The reversal of 132223111310460 is 64013111322231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223111310467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125093231 + ... + 2125155449.

It is an arithmetic number, because the mean of its divisors is an integer number (3858019417560).

Almost surely, 2132223111310460 is an apocalyptic number.

132223111310460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223111310460 is an abundant number, since it is smaller than the sum of its proper divisors (238146752775300).

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

132223111310460 is a wasteful number, since it uses less digits than its factorization.

132223111310460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75547 (or 75545 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 132223111310460 its reverse (64013111322231), we get a palindrome (196236222632691).

The spelling of 132223111310460 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred eleven million, three hundred ten thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3673 7346 9643 11019 14692 18365 19286 22038 28929 36730 38572 44076 48215 55095 57858 62219 73460 96430 110190 115716 124438 144645 186657 192860 220380 248876 289290 311095 373314 578580 622190 746628 933285 1244380 1866570 3733140 35418739 70837478 106256217 141674956 177093695 212512434 228530387 354187390 425024868 457060774 531281085 599977817 685591161 708374780 914121548 1062562170 1142651935 1199955634 1371182322 1799933451 2125124340 2285303870 2399911268 2742364644 2999889085 3427955805 3599866902 4570607740 5999778170 6855911610 7199733804 8999667255 11999556340 13711823220 17999334510 35998669020 2203718521841 4407437043682 6611155565523 8814874087364 11018592609205 13222311131046 22037185218410 26444622262092 33055777827615 44074370436820 66111555655230 132223111310460