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1103032332120 = 233510987796157
BaseRepresentation
bin10000000011010001110…
…110011010111101011000
310220110010012221012101210
4100003101312122331120
5121033002234111440
62202420454543120
7142456112060655
oct20032166327530
93813105835353
101103032332120
1139587aaa4aa4
12159937367aa0
13800280a0134
143b55c0c8c2c
151da5bccea80
hex100d1d9af58

1103032332120 has 128 divisors (see below), whose sum is σ = 3343298270400. Its totient is φ = 291108059136.

The previous prime is 1103032332097. The next prime is 1103032332139. The reversal of 1103032332120 is 212332303011.

It is a congruent number.

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, 11423082 + ... + 11519238.

Almost surely, 21103032332120 is an apocalyptic number.

1103032332120 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 1103032332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671649135200).

1103032332120 is an abundant number, since it is smaller than the sum of its proper divisors (2240265938280).

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

1103032332120 is a wasteful number, since it uses less digits than its factorization.

1103032332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97157 (or 97153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1103032332120 its reverse (212332303011), we get a palindrome (1315364635131).

The spelling of 1103032332120 in words is "one trillion, one hundred three billion, thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 877 1090 1308 1635 1754 2180 2616 2631 3270 3508 4360 4385 5262 6540 7016 8770 10524 13080 13155 17540 21048 26310 35080 52620 95593 96157 105240 191186 192314 286779 288471 382372 384628 477965 480785 573558 576942 764744 769256 955930 961570 1147116 1153884 1433895 1442355 1911860 1923140 2294232 2307768 2867790 2884710 3823720 3846280 5735580 5769420 10481113 11471160 11538840 20962226 31443339 41924452 52405565 62886678 83848904 84329689 104811130 125773356 157216695 168659378 209622260 251546712 252989067 314433390 337318756 419244520 421648445 505978134 628866780 674637512 843296890 1011956268 1257733560 1264945335 1686593780 2023912536 2529890670 3373187560 5059781340 9191936101 10119562680 18383872202 27575808303 36767744404 45959680505 55151616606 73535488808 91919361010 110303233212 137879041515 183838722020 220606466424 275758083030 367677444040 551516166060 1103032332120