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42202102030 = 251117315571307
BaseRepresentation
bin100111010011011100…
…001111100100001110
311000221010200220120221
4213103130033210032
51142412214231110
631215401301554
73022543643224
oct472334174416
9130833626527
1042202102030
1116996a93980
1282194948ba
133c9736b90a
142084c34b14
15116eebb7da
hex9d370f90e

42202102030 has 128 divisors (see below), whose sum is σ = 90806759424. Its totient is φ = 13941811200.

The previous prime is 42202102021. The next prime is 42202102031. The reversal of 42202102030 is 3020120224.

It is a junction number, because it is equal to n+sod(n) for n = 42202101995 and 42202102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202102031) 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 63 ways as a sum of consecutive naturals, for example, 32288637 + ... + 32289943.

It is an arithmetic number, because the mean of its divisors is an integer number (709427808).

Almost surely, 242202102030 is an apocalyptic number.

42202102030 is an abundant number, since it is smaller than the sum of its proper divisors (48604657394).

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

42202102030 is a wasteful number, since it uses less digits than its factorization.

42202102030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42202102030 its reverse (3020120224), we get a palindrome (45222222254).

The spelling of 42202102030 in words is "forty-two billion, two hundred two million, one hundred two thousand, thirty".

Divisors: 1 2 5 10 11 17 22 31 34 55 62 85 110 155 170 187 310 341 374 527 557 682 935 1054 1114 1307 1705 1870 2614 2635 2785 3410 5270 5570 5797 6127 6535 9469 11594 12254 13070 14377 17267 18938 22219 28754 28985 30635 34534 40517 44438 47345 57970 61270 71885 81034 86335 94690 104159 111095 143770 172670 189937 202585 208318 222190 244409 293539 379874 405170 445687 488818 520795 587078 688789 727999 891374 949685 1041590 1222045 1377578 1455998 1467695 1899370 2228435 2444090 2935390 3228929 3443945 3639995 4456870 6457858 6887890 7279990 7576679 8007989 12375983 15153358 16015978 16144645 22567969 24751966 32289290 37883395 40039945 45135938 61879915 75766790 80079890 112839845 123759830 136135813 225679690 248247659 272271626 383655473 496495318 680679065 767310946 1241238295 1361358130 1918277365 2482476590 3836554730 4220210203 8440420406 21101051015 42202102030