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202023120313230 = 23537491880742089
BaseRepresentation
bin101101111011110100101100…
…010100101001101110001110
3222111022012222121102111211220
4231323310230110221232032
5202434421322300010410
61553400050143024210
760360455152246566
oct5573645424515616
9874265877374756
10202023120313230
1159409584759717
121a7a952629b066
1388959107b8a68
1437c5d84d5dda6
151855141be5070
hexb7bd2c529b8e

202023120313230 has 128 divisors (see below), whose sum is σ = 499042378736640. Its totient is φ = 52302872079360.

The previous prime is 202023120313219. The next prime is 202023120313283. The reversal of 202023120313230 is 32313021320202.

It is a super-2 number, since 2×2020231203132302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202023120313230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4799882026 + ... + 4799924114.

It is an arithmetic number, because the mean of its divisors is an integer number (3898768583880).

Almost surely, 2202023120313230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202023120313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249521189368320).

202023120313230 is an abundant number, since it is smaller than the sum of its proper divisors (297019258423410).

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

202023120313230 is a wasteful number, since it uses less digits than its factorization.

202023120313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51434.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 202023120313230 its reverse (32313021320202), we get a palindrome (234336141633432).

The spelling of 202023120313230 in words is "two hundred two trillion, twenty-three billion, one hundred twenty million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 491 555 982 1110 1473 2455 2946 4910 7365 8807 14730 17614 18167 26421 36334 42089 44035 52842 54501 84178 88070 90835 109002 126267 132105 181670 210445 252534 264210 272505 325859 420890 545010 631335 651718 977577 1262670 1557293 1629295 1955154 3114586 3258590 4324237 4671879 4887885 7786465 8648474 9343758 9775770 12972711 15572930 20665699 21621185 23359395 25945422 41331398 43242370 46718790 61997097 64863555 103328495 123994194 129727110 159996769 206656990 309985485 319993538 370677823 479990307 619970970 741355646 764630863 799983845 959980614 1112033469 1529261726 1599967690 1853389115 2224066938 2293892589 2399951535 3706778230 3823154315 4587785178 4799903070 5560167345 7646308630 11120334690 11469462945 13715079451 22938925890 27430158902 41145238353 68575397255 82290476706 137150794510 182002811093 205726191765 364005622186 411452383530 546008433279 910014055465 1092016866558 1820028110930 2730042166395 5460084332790 6734104010441 13468208020882 20202312031323 33670520052205 40404624062646 67341040104410 101011560156615 202023120313230