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230101302023120 = 245111075574387301
BaseRepresentation
bin110100010100011010100010…
…010111101001001111010000
31010011201110200100221210020202
4310110122202113221033100
5220124434431304214440
62133215025010354332
766316161525010223
oct6424324227511720
91104643610853222
10230101302023120
1167354461299770
122198321058b9a8
139b515c8ba3638
1440b6d68d1b5ba
151b906e2542615
hexd146a25e93d0

230101302023120 has 160 divisors (see below), whose sum is σ = 590132692768896. Its totient is φ = 82742372096000.

The previous prime is 230101302023111. The next prime is 230101302023191. The reversal of 230101302023120 is 21320203101032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230101302023092 and 230101302023101.

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, 50253470 + ... + 54640770.

Almost surely, 2230101302023120 is an apocalyptic number.

230101302023120 is a gapful number since it is divisible by the number (20) 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 230101302023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295066346384448).

230101302023120 is an abundant number, since it is smaller than the sum of its proper divisors (360031390745776).

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

230101302023120 is a wasteful number, since it uses less digits than its factorization.

230101302023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387989 (or 4387983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230101302023120 its reverse (21320203101032), we get a palindrome (251421505124152).

The spelling of 230101302023120 in words is "two hundred thirty trillion, one hundred one billion, three hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 557 856 880 1070 1114 1177 1712 2140 2228 2354 2785 4280 4456 4708 5570 5885 6127 8560 8912 9416 11140 11770 12254 18832 22280 23540 24508 30635 44560 47080 49016 59599 61270 94160 98032 119198 122540 238396 245080 297995 476792 490160 595990 655589 953584 1191980 1311178 2383960 2622356 3277945 4387301 4767920 5244712 6555890 8774602 10489424 13111780 17549204 21936505 26223560 35098408 43873010 48260311 52447120 70196816 87746020 96520622 175492040 193041244 241301555 350984080 386082488 469441207 482603110 772164976 938882414 965206220 1877764828 1930412440 2347206035 2443726657 3755529656 3860824880 4694412070 4887453314 5163853277 7511059312 9388824140 9774906628 10327706554 12218633285 18777648280 19549813256 20655413108 24437266570 25819266385 26880993227 37555296560 39099626512 41310826216 48874533140 51638532770 53761986454 82621652432 97749066280 103277065540 107523972908 134404966135 195498132560 206554131080 215047945816 261478752299 268809932270 413108262160 430095891632 522957504598 537619864540 1045915009196 1075239729080 1307393761495 2091830018392 2150479458160 2614787522990 2876266275289 4183660036784 5229575045980 5752532550578 10459150091960 11505065101156 14381331376445 20918300183920 23010130202312 28762662752890 46020260404624 57525325505780 115050651011560 230101302023120