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10223204043030 = 23511607110346271
BaseRepresentation
bin1001010011000100011001…
…1100100000100100010110
31100012022212200000110022220
42110301012130200210112
52314444110213334110
633424250342203210
72103413345404446
oct224610634404426
940168780013286
1010223204043030
113291700189190
1211913aa423506
135920758a8174
14274b3cc54126
1512ade057e370
hex94c46720916

10223204043030 has 128 divisors (see below), whose sum is σ = 26835189497856. Its totient is φ = 2471972899200.

The previous prime is 10223204042999. The next prime is 10223204043037. The reversal of 10223204043030 is 3034040232201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223204043037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220918795 + ... + 220965065.

It is an arithmetic number, because the mean of its divisors is an integer number (209649917952).

Almost surely, 210223204043030 is an apocalyptic number.

10223204043030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223204043030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417594748928).

10223204043030 is an abundant number, since it is smaller than the sum of its proper divisors (16611985454826).

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

10223204043030 is a wasteful number, since it uses less digits than its factorization.

10223204043030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48002.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10223204043030 its reverse (3034040232201), we get a palindrome (13257244275231).

The spelling of 10223204043030 in words is "ten trillion, two hundred twenty-three billion, two hundred four million, forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 607 1103 1214 1821 2206 3035 3309 3642 5515 6070 6618 6677 9105 11030 12133 13354 16545 18210 20031 24266 33090 33385 36399 40062 46271 60665 66770 72798 92542 100155 121330 138813 181995 200310 231355 277626 363990 462710 508981 669521 694065 1017962 1339042 1388130 1526943 2008563 2544905 3053886 3347605 4017126 5089810 6695210 7364731 7634715 10042815 14729462 15269430 20085630 22094193 28086497 36823655 44188386 51036913 56172994 73647310 84259491 102073826 110470965 140432485 153110739 168518982 220941930 255184565 280864970 306221478 308951467 421297455 510369130 561406043 617902934 765553695 842594910 926854401 1122812086 1531107390 1544757335 1684218129 1853708802 2807030215 3089514670 3368436258 4634272005 5614060430 8421090645 9268544010 16842181290 30979406191 61958812382 92938218573 154897030955 185876437146 309794061910 340773468101 464691092865 681546936202 929382185730 1022320404303 1703867340505 2044640808606 3407734681010 5111602021515 10223204043030