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42022003110 = 23529379727
BaseRepresentation
bin100111001000101101…
…001110000110100110
311000110120210221022120
4213020231032012212
51142030113044420
631145445210410
73015226063413
oct471055160646
9130416727276
1042022003110
111690436399a
128189100a06
133c68c619c9
142068d5310a
15115e293d40
hex9c8b4e1a6

42022003110 has 128 divisors (see below), whose sum is σ = 105922252800. Its totient is φ = 10667809152.

The previous prime is 42022003073. The next prime is 42022003151. The reversal of 42022003110 is 1130022024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42022003110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57801567 + ... + 57802293.

It is an arithmetic number, because the mean of its divisors is an integer number (827517600).

Almost surely, 242022003110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022003110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52961126400).

42022003110 is an abundant number, since it is smaller than the sum of its proper divisors (63900249690).

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

42022003110 is an equidigital number, since it uses as much as digits as its factorization.

42022003110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42022003110 its reverse (1130022024), we get a palindrome (43152025134).

The spelling of 42022003110 in words is "forty-two billion, twenty-two million, three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 79 87 145 158 174 237 290 395 435 474 727 790 841 870 1185 1454 1682 2181 2291 2370 2523 3635 4205 4362 4582 5046 6873 7270 8410 10905 11455 12615 13746 21083 21810 22910 24389 25230 34365 42166 48778 57433 63249 66439 68730 73167 105415 114866 121945 126498 132878 146334 172299 199317 210830 243890 287165 316245 332195 344598 365835 398634 574330 611407 632490 664390 731670 861495 996585 1222814 1665557 1722990 1834221 1926731 1993170 3057035 3331114 3668442 3853462 4996671 5780193 6114070 8327785 9171105 9633655 9993342 11560386 16655570 17730803 18342210 19267310 24983355 28900965 35461606 48301153 49966710 53192409 57801930 88654015 96602306 106384818 144903459 177308030 241505765 265962045 289806918 483011530 531924090 724517295 1400733437 1449034590 2801466874 4202200311 7003667185 8404400622 14007334370 21011001555 42022003110