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130230222020032 = 2617314199215251
BaseRepresentation
bin11101100111000110010110…
…000111110101110111000000
3122002002212222002100122212111
4131213012112013311313000
5114032142443314120112
61140550534342505104
736300552206453161
oct3547062607656700
9562085862318774
10130230222020032
113854a366265392
12127335a5a35194
135788870c63444
142423267d9d768
15100c8c0da05a7
hex7671961f5dc0

130230222020032 has 112 divisors (see below), whose sum is σ = 283127928007680. Its totient is φ = 59166328320000.

The previous prime is 130230222020023. The next prime is 130230222020123. The reversal of 130230222020032 is 230020222032031.

It is a super-2 number, since 2×1302302220200322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130230222019985 and 130230222020012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9524407 + ... + 18739657.

It is an arithmetic number, because the mean of its divisors is an integer number (2527927928640).

Almost surely, 2130230222020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130230222020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141563964003840).

130230222020032 is an abundant number, since it is smaller than the sum of its proper divisors (152897705987648).

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

130230222020032 is a wasteful number, since it uses less digits than its factorization.

130230222020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215730 (or 9215720 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 130230222020032 its reverse (230020222032031), we get a palindrome (360250444052063).

The spelling of 130230222020032 in words is "one hundred thirty trillion, two hundred thirty billion, two hundred twenty-two million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 419 496 527 544 838 992 1054 1088 1676 1984 2108 3352 4216 6704 7123 8432 12989 13408 14246 16864 25978 26816 28492 33728 51956 56984 103912 113968 207824 220813 227936 415648 441626 455872 831296 883252 1766504 3533008 7066016 9215251 14132032 18430502 36861004 73722008 147444016 156659267 285672781 294888032 313318534 571345562 589776064 626637068 1142691124 1253274136 2285382248 2506548272 3861190169 4570764496 4856437277 5013096544 7722380338 9141528992 9712874554 10026193088 15444760676 18283057984 19425749108 30889521352 38851498216 61779042704 65640232873 77702996432 119696895239 123558085408 131280465746 155405992864 239393790478 247116170816 262560931492 310811985728 478787580956 525121862984 957575161912 1050243725968 1915150323824 2034847219063 2100487451936 3830300647648 4069694438126 4200974903872 7660601295296 8139388876252 16278777752504 32557555505008 65115111010016 130230222020032