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132202223120 = 245111759914753
BaseRepresentation
bin111101100011111011…
…1011101011000010000
3110122020101210202211002
41323013313131120100
54131222232114440
6140422144241132
712360044232632
oct1730767353020
9418211722732
10132202223120
1151080787a40
12217563101a8
13c60b204036
146581b64a52
15368b36e115
hex1ec7ddd610

132202223120 has 160 divisors (see below), whose sum is σ = 355654022400. Its totient is φ = 45167083520.

The previous prime is 132202223077. The next prime is 132202223143. The reversal of 132202223120 is 21322202231.

It is a happy number.

132202223120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132202223092 and 132202223101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8953664 + ... + 8968416.

It is an arithmetic number, because the mean of its divisors is an integer number (2222837640).

Almost surely, 2132202223120 is an apocalyptic number.

132202223120 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 132202223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177827011200).

132202223120 is an abundant number, since it is smaller than the sum of its proper divisors (223451799280).

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

132202223120 is a wasteful number, since it uses less digits than its factorization.

132202223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15393 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132202223120 its reverse (21322202231), we get a palindrome (153524425351).

The spelling of 132202223120 in words is "one hundred thirty-two billion, two hundred two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 599 680 748 880 935 1198 1360 1496 1870 2396 2992 2995 3740 4792 5990 6589 7480 9584 10183 11980 13178 14753 14960 20366 23960 26356 29506 32945 40732 47920 50915 52712 59012 65890 73765 81464 101830 105424 112013 118024 131780 147530 162283 162928 203660 224026 236048 250801 263560 295060 324566 407320 448052 501602 527120 560065 590120 649132 811415 814640 896104 1003204 1120130 1180240 1254005 1298264 1622830 1792208 2006408 2240260 2508010 2596528 2758811 3245660 4012816 4480520 5016020 5517622 6491320 8837047 8961040 10032040 11035244 12982640 13794055 17674094 20064080 22070488 27588110 35348188 44140976 44185235 55176220 70696376 88370470 97207517 110352440 141392752 150229799 176740940 194415034 220704880 300459598 353481880 388830068 486037585 600919196 706963760 751148995 777660136 972075170 1201838392 1502297990 1555320272 1652527789 1944150340 2403676784 3004595980 3305055578 3888300680 6009191960 6610111156 7776601360 8262638945 12018383920 13220222312 16525277890 26440444624 33050555780 66101111560 132202223120