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102127032280 = 235713148318919
BaseRepresentation
bin101111100011100111…
…1101101011111011000
3100202121102000210000001
41133013033231133120
53133124010013110
6114525544422344
710243542310540
oct1370717553730
9322542023001
10102127032280
113a348057a19
12179621779b4
1398273a3820
144d2b746320
1529cad4163a
hex17c73ed7d8

102127032280 has 128 divisors (see below), whose sum is σ = 283018982400. Its totient is φ = 32298020352.

The previous prime is 102127032277. The next prime is 102127032317. The reversal of 102127032280 is 82230721201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 5388661 + ... + 5407579.

It is an arithmetic number, because the mean of its divisors is an integer number (2211085800).

Almost surely, 2102127032280 is an apocalyptic number.

102127032280 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 102127032280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141509491200).

102127032280 is an abundant number, since it is smaller than the sum of its proper divisors (180891950120).

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

102127032280 is a wasteful number, since it uses less digits than its factorization.

102127032280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20433 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 102127032280 its reverse (82230721201), we get a palindrome (184357753481).

The spelling of 102127032280 in words is "one hundred two billion, one hundred twenty-seven million, thirty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1483 1820 2966 3640 5932 7415 10381 11864 14830 18919 19279 20762 29660 37838 38558 41524 51905 59320 75676 77116 83048 94595 96395 103810 132433 134953 151352 154232 189190 192790 207620 245947 264866 269906 378380 385580 415240 491894 529732 539812 662165 674765 756760 771160 983788 1059464 1079624 1229735 1324330 1349530 1721629 1967576 2459470 2648660 2699060 3443258 4918940 5297320 5398120 6886516 8608145 9837880 13773032 17216290 28056877 34432580 56113754 68865160 112227508 140284385 196398139 224455016 280568770 364739401 392796278 561137540 729478802 785592556 981990695 1122275080 1458957604 1571185112 1823697005 1963981390 2553175807 2917915208 3647394010 3927962780 5106351614 7294788020 7855925560 10212703228 12765879035 14589576040 20425406456 25531758070 51063516140 102127032280