Search a number
-
+
204033323132310 = 23574756737364349
BaseRepresentation
bin101110011001000100110101…
…101111110110010110010110
3222202102101200002200021102010
4232121010311233312112112
5203220340221210213220
62001535340433525050
760655630644265110
oct5631046557662626
9882371602607363
10204033323132310
115a014056852491
121aa73037113786
1389b034ba70a89
1438553a088a3b0
15188c5957951e0
hexb99135bf6596

204033323132310 has 128 divisors (see below), whose sum is σ = 571553011814400. Its totient is φ = 45642999066624.

The previous prime is 204033323132299. The next prime is 204033323132389. The reversal of 204033323132310 is 13231323330402.

It is a super-2 number, since 2×2040333231323102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 559812016 + ... + 560176364.

It is an arithmetic number, because the mean of its divisors is an integer number (4465257904800).

Almost surely, 2204033323132310 is an apocalyptic number.

204033323132310 is an abundant number, since it is smaller than the sum of its proper divisors (367519688682090).

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

204033323132310 is a wasteful number, since it uses less digits than its factorization.

204033323132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421150.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 204033323132310 its reverse (13231323330402), we get a palindrome (217264646462712).

The spelling of 204033323132310 in words is "two hundred four trillion, thirty-three billion, three hundred twenty-three million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 56737 113474 170211 283685 340422 364349 397159 567370 728698 794318 851055 1093047 1191477 1702110 1821745 1985795 2186094 2382954 2550443 2666639 3643490 3971590 5100886 5333278 5465235 5957385 7651329 7999917 10930470 11914770 12752215 13333195 15302658 15999834 17124403 18666473 25504430 26666390 34248806 37332946 38256645 39999585 51373209 55999419 76513290 79999170 85622015 93332365 102746418 111998838 119870821 171244030 186664730 239741642 256866045 279997095 359612463 513732090 559994190 599354105 719224926 1198708210 1798062315 3596124630 20672069213 41344138426 62016207639 103360346065 124032415278 144704484491 206720692130 289408968982 310081038195 434113453473 620162076390 723522422455 868226906946 971587253011 1447044844910 1943174506022 2170567267365 2914761759033 4341134534730 4857936265055 5829523518066 6801110771077 9715872530110 13602221542154 14573808795165 20403332313231 29147617590330 34005553855385 40806664626462 68011107710770 102016661566155 204033323132310