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120202004130 = 235131988318371
BaseRepresentation
bin110111111110010011…
…0010000011010100010
3102111021002021111001220
41233330212100122202
53432133203113010
6131115310035510
711453501114505
oct1577446203242
9374232244056
10120202004130
1146a8299688a
121b3674a8b96
13b447cc3940
145b640cb13c
1531d7aa8970
hex1bfc9906a2

120202004130 has 128 divisors (see below), whose sum is σ = 327415495680. Its totient is φ = 27997643520.

The previous prime is 120202004119. The next prime is 120202004137. The reversal of 120202004130 is 31400202021.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120202004137) 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, 6533845 + ... + 6552215.

It is an arithmetic number, because the mean of its divisors is an integer number (2557933560).

Almost surely, 2120202004130 is an apocalyptic number.

120202004130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202004130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163707747840).

120202004130 is an abundant number, since it is smaller than the sum of its proper divisors (207213491550).

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

120202004130 is a wasteful number, since it uses less digits than its factorization.

120202004130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296.

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

Adding to 120202004130 its reverse (31400202021), we get a palindrome (151602206151).

The spelling of 120202004130 in words is "one hundred twenty billion, two hundred two million, four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 883 1235 1482 1766 2470 2649 3705 4415 5298 7410 8830 11479 13245 16777 18371 22958 26490 33554 34437 36742 50331 55113 57395 68874 83885 91855 100662 110226 114790 167770 172185 183710 218101 238823 251655 275565 344370 349049 436202 477646 503310 551130 654303 698098 716469 1047147 1090505 1194115 1308606 1432938 1745245 2094294 2181010 2388230 3271515 3490490 3582345 4537637 5235735 6543030 7164690 9075274 10471470 13612911 16221593 22688185 27225822 32443186 45376370 48664779 68064555 81107965 97329558 136129110 162215930 210880709 243323895 308210267 421761418 486647790 616420534 632642127 924630801 1054403545 1265284254 1541051335 1849261602 2108807090 3082102670 3163210635 4006733471 4623154005 6326421270 8013466942 9246308010 12020200413 20033667355 24040400826 40067334710 60101002065 120202004130