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1323133232320 = 26523273165827
BaseRepresentation
bin10011010000010000111…
…000101110010011000000
311200111020102121102012101
4103100100320232103000
5133134234101413240
62451501121040144
7164410321623364
oct23202070562300
94614212542171
101323133232320
11470157241009
12194522786054
1397a039643a3
144807ba392a4
152463eca139a
hex13410e2e4c0

1323133232320 has 112 divisors (see below), whose sum is σ = 3288952251648. Its totient is φ = 506049223680.

The previous prime is 1323133232303. The next prime is 1323133232411. The reversal of 1323133232320 is 232323313231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20067247 + ... + 20133073.

It is an arithmetic number, because the mean of its divisors is an integer number (29365645104).

Almost surely, 21323133232320 is an apocalyptic number.

1323133232320 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 1323133232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644476125824).

1323133232320 is an abundant number, since it is smaller than the sum of its proper divisors (1965819019328).

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

1323133232320 is a wasteful number, since it uses less digits than its factorization.

1323133232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68598 (or 68588 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1323133232320 its reverse (232323313231), we get a palindrome (1555456545551).

It can be divided in two parts, 132313 and 3232320, that added together give a palindrome (3364633).

The spelling of 1323133232320 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 2731 3680 5462 7360 10924 13655 21848 27310 43696 54620 62813 65827 87392 109240 125626 131654 174784 218480 251252 263308 314065 329135 436960 502504 526616 628130 658270 873920 1005008 1053232 1256260 1316540 1514021 2010016 2106464 2512520 2633080 3028042 4020032 4212928 5025040 5266160 6056084 7570105 10050080 10532320 12112168 15140210 20100160 21064640 24224336 30280420 48448672 60560840 96897344 121121680 179773537 242243360 359547074 484486720 719094148 898867685 1438188296 1797735370 2876376592 3595470740 4134791351 5752753184 7190941480 8269582702 11505506368 14381882960 16539165404 20673956755 28763765920 33078330808 41347913510 57527531840 66156661616 82695827020 132313323232 165391654040 264626646464 330783308080 661566616160 1323133232320