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223141310004030 = 235111016701999091
BaseRepresentation
bin110010101111001000100010…
…100001000111101100111110
31002021002002201120001211010020
4302233020202201013230332
5213221421400330112110
62110325411434553010
765000266451660535
oct6257104241075476
91067062646054106
10223141310004030
1165110775240660
122103a345298766
13976819b1930c2
143d1615036d31c
151abe63e3a4d70
hexcaf222847b3e

223141310004030 has 128 divisors (see below), whose sum is σ = 590097560458752. Its totient is φ = 53551224000000.

The previous prime is 223141310004007. The next prime is 223141310004047. The reversal of 223141310004030 is 30400013141322.

It is a happy number.

223141310004030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231413100040303 (a number of 44 digits) contains 333 as substring.

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, 222844785 + ... + 223843875.

It is an arithmetic number, because the mean of its divisors is an integer number (4610137191084).

Almost surely, 2223141310004030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223141310004030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295048780229376).

223141310004030 is an abundant number, since it is smaller than the sum of its proper divisors (366956250454722).

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

223141310004030 is a wasteful number, since it uses less digits than its factorization.

223141310004030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005914.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 223141310004030 its reverse (30400013141322), we get a palindrome (253541323145352).

The spelling of 223141310004030 in words is "two hundred twenty-three trillion, one hundred forty-one billion, three hundred ten million, four thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 6701 11110 13402 16665 20103 33330 33505 40206 67010 73711 100515 147422 201030 221133 368555 442266 676801 737110 999091 1105665 1353602 1998182 2030403 2211330 2997273 3384005 4060806 4995455 5994546 6768010 7444811 9990910 10152015 10990001 14889622 14986365 20304030 21980002 22334433 29972730 32970003 37224055 44668866 54950005 65940006 74448110 100908191 109900010 111672165 164850015 201816382 223344330 302724573 329700030 504540955 605449146 1009081910 1109990101 1513622865 2219980202 3027245730 3329970303 5549950505 6659940606 6694908791 11099901010 13389817582 16649851515 20084726373 33299703030 33474543955 40169452746 66949087910 73643996701 100423631865 147287993402 200847263730 220931990103 368219983505 441863980206 676185787891 736439967010 1104659950515 1352371575782 2028557363673 2209319901030 3380928939455 4057114727346 6761857878910 7438043666801 10142786818365 14876087333602 20285573636730 22314131000403 37190218334005 44628262000806 74380436668010 111570655002015 223141310004030