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2332101133120 = 265112328805597
BaseRepresentation
bin100001111011111100000…
…011110100001101000000
322020221120010201101212111
4201323330003310031000
5301202120342224440
64543204044505104
7330326432362663
oct41737403641500
98227503641774
102332101133120
1181a047323570
12317b87b4b194
1313bbbab518b5
1480c350dd6da
15409e39a34ea
hex21efc0f4340

2332101133120 has 112 divisors (see below), whose sum is σ = 6321561314688. Its totient is φ = 811165583360.

The previous prime is 2332101133049. The next prime is 2332101133121. The reversal of 2332101133120 is 213311012332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2332101133091 and 2332101133100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332101133121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14321839 + ... + 14483758.

Almost surely, 22332101133120 is an apocalyptic number.

2332101133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332101133120 is an abundant number, since it is smaller than the sum of its proper divisors (3989460181568).

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

2332101133120 is a wasteful number, since it uses less digits than its factorization.

2332101133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805648 (or 28805638 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2332101133120 its reverse (213311012332), we get a palindrome (2545412145452).

The spelling of 2332101133120 in words is "two trillion, three hundred thirty-two billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 80960 28805597 57611194 115222388 144027985 230444776 288055970 316861567 460889552 576111940 633723134 662528731 921779104 1152223880 1267446268 1325057462 1584307835 1843558208 2304447760 2534892536 2650114924 3168615670 3312643655 4608895520 5069785072 5300229848 6337231340 6625287310 7287816041 9217791040 10139570144 10600459696 12674462680 13250574620 14575632082 20279140288 21200919392 25348925360 26501149240 29151264164 36439080205 42401838784 50697850720 53002298480 58302528328 72878160410 101395701440 106004596960 116605056656 145756320820 212009193920 233210113312 291512641640 466420226624 583025283280 1166050566560 2332101133120